EPA 402-R-08-003
                                                                  March 21, 1989
 RESEARCH   TRIANGLE   INSTITUTE

         March  21,  1989                                     RTI/4240/02-03D
                                        FINAL DRAFT
                                     (Third Revision)
                           THE NATIONAL RESIDENTIAL  RADON SURVEY
                                       DESIGN REPORT
                                            by

                                     Jane W.  Bergsten
                                     Nicholas A.  Hclt
                                      Robert  M. Lucas
                                      Martha  L. Smith
                                Research Triangle  Institute
                       Research Triangle Park,  North Carolina  27709
         Prepared for:

         SC & A, Incorporated
         8200 Riding Ridge Place
         McLean, Virginia  22102
POST OFFICE BOX 12194  RESEARCH TRIANGLE PARK,  NORTH CAROLINA 27709-2194

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                              TABLE OF CONTENTS
1.0  Survey Design	1-1
     1.1   Purpose of the National Residential Radon Survey	..1-1
     1.2   Summary of the National Residential Radon Survey Design	1-2
     1.3   Definition of Survey Population	1-3
2.0  Sample Design	2-1
     2.1   Introduction	2-1
     2.2   Optimization Procedure	.2-2
     2.3   Optimization Undertaken	2-4
     2.4   Recommended Design	2-15
     2.5   Comparing the Recommended Design with the Minimal  Design	2-18
     2.6   Procedures for Selecting the Sample	2-24
3.0  Survey Imp! ementation	3-1
     3.1   Data Collection Instrument	3-1
     3.2   Training Materials	3-4
     3.3   Field Staff Selection, Training, and Responsibilities	3-6
     3.4   Field Quality Assurance	3-13
4.0 Data Reduction Procedures	4-1
     4.1   Survey Monitoring System	4-1
     4.2   Questionnaire Processing	4-2
     4.3   Data File Preparation	.4-4
     4.4   Constructing the Statistical Analysis File	4-4
5.0  Quality Assurance Plan	5-1
Appendix A  Glossary of Terms Used in Chapter 2	A-l
Appendix B  National Residential Radon Survey Questionnaire	B-l
Appendix C  Control /Screeni ng Form	C-l

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                             1.0 SURVEY DESIGN

1.1 Purpose of the National Residential Radon Survey
    In the Superfund Amendments and Reauthorizatlon Act of 1986 (SARA,  P.L.
99-499),  Congress  required   the   Administrator   of  the  Environmental
Protection Agency (EPA)  to  conduct  a  national   assessment  of radon gas
"found  in  structures  where  people  normally  live  and  work,  including
educational institutions."  One  component  of  this national assessment is
the National Residential Radon Survey  (NRRS), which will investigate radon
concentrations in occupied housing units.
    The results of this  survey  will  be   used  by  the  EPA to assess the
effectiveness of various radon program  strategies.  In particular,  the EPA
will use the information obtained  from  the survey to answer the following
questions:
         1.   What is the  frequency  distribution  of annual average radon
              concentration in occupied housing units?
         2.   What  are   the   relationships   between   specific  housing
              construction types  and  concentration  of  radon in occupied
              housing units?
    In addition to characterizing  the  national  distribution, we also plan
to study subsets of the surveyed homes to  learn how radon levels vary among
smaller  segments  of  the  population.     To  ensure  that  we  can  make
statistically accurate conclusions about  the country's geographic regions,
we  will  stratify  our  sample  by   the   10  EPA  Regions  and  select  a
representative sample from each.  In this   way, we will be able to estimate
the radon distribution  for  each  region   and  also  be  able to highlight
differences in radon levels across various parts of the country.

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    Comparisons of other subgroups  of  the  population  will also be made.
 For example, we will compare the  radon distribution of single family homes
 with  that for homes in  multi-unit  structures and compare the distribution
 for rental  units with that for  owner-occupied units.  In addition, we will
 compare  radon levels of different  floors  within the same residence.  This
 will  show,  for example, how radon  concentrations in the basement relate to
 concentrations in other parts of the home.
    The  data gathered from this survey will also provide information on how
 much  radon  people are  actually  exposed  to  in  their  homes and what the
 resulting increased risks of lung  cancer  are.   For example, a high radon
 level in a  rarely used storage  basement  is  less  of a health risk than a
 moderate radon level in a living  room  or bedroom where people spend hours
 every day.  Although residential exposure  is only part of a person's total
 exposure, EPA should be able to  estimate the fraction of lung cancers that
 could be averted by achieving various reductions of radon concentrations in
 homes.

 1.2 Summary of the National  Residential Radon Survey Design
    The  National  Residential Radon  Survey  will obtain personal interviews
 and 12-month  measurements  of  radon  concentrations  on  each  level of a
 nationwide random sample of approximately 5,000 residences.
    The  sample will  be  a  three-stage  area  probability sample of housing
 units.   A  nationwide  probability  sample  of  approximately  125 primary
 sampling units (PSUs), each consisting  of  one  or more counties or county
equivalents, will  be selected,  and  one  or more interviewers will be hired
in each  sample PSU.    A  probability  sample  of second stage units (SSUs),

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each consisting of a small  geographic  area,  for example,  a Census-defined
city block, will be selected within each  sample  PSU.   The  sample SSUs  will
be visited and the addresses of each  housing   unit  (HU)  will  be listed.   A
probability sample of addresses  will   be  selected   from these, listings  to
obtain the sample of HUs for the survey.
    Each sample home will be  visited  and screened  for survey eligibility.
(The household  must  have  no  firm  plans to  move  within the following
12 months to be eligible  for  the  survey.    A  personal interview will  be
attempted in each survey eligible  sample  home to obtain information about
the structural, heating and ventilation  characteristics of the home and  to
obtain  information  about  the  residents.    In addition  to demographic
characteristics, we will request  information  about  smoking characteristics
of the residents and about the  amount  of time each resident spends on the
different levels of the home.    Finally,  an   alpha track  detector will  be
placed on each level in the home and will be left there for 12 months.
    The design calls for maintaining  contact   with  the sample homes during
the 12  month  radon  measurement  period  and for   the collection of the
detectors at the end of the  12  months, or beforehand 1f the household has
an unexpected move from the sample housing unit.

1.3 Definition of Survey Population
    Because the congressional mandate  calls  for the measurement of radon
concentrations in places "where  people  normally live and work, including
educational institutions," a decision must be  made about how each different
type of living place  should  be  handled.    Our proposal  assumed that the
National  Residential Survey would cover only the  household  population,  that

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is, the population living in housing  units.   However,  we  will  identify  the

remaining segments of the population living   in other types  of  quarters  and

recommend a procedure for handling each.   The possible options  for handling

these special groups are:

         Include the group in the National Residential  Radon Survey
         Include the group in the school  survey
         Include the group in the place of work survey
         Include the group in a special  survey
         Exclude the group altogether.

The Census Bureau classifies the population  into  the  following  categories.

     The household population:

     •   Persons living in housing units   (comprising about  97.5  percent of
         the nation's population in 1980.)

         —A housing unit is typically  a house,  apartment,  or  mobile home,
         but may also be  one  or  more  rooms occupied as  separate living
         quarters.  The latter are quarters  in which  the occupants live  and
         eat separately from others in  the   building and  which have either
         direct access to the outside or access throught a common hall.

     The nonhousehold population:

     •   Inmates of  institutions  (comprising about  1.1  percent of  the
         nation's population in 1980.)

         —Inmates of mental  institutions,
             such  as  mental   hospitals,    psychiatric wards  in general
             hospitals or veteran's  hospitals,   alcohol   or drug treatment
             centers, etc.
         —Inmates of homes for the aged,
             such  as  nursing  homes,  county   homes for   the   aged   and
             dependent,  etc.
         — Inmates of correctional  institutions,
             such as reformatories,  local  jails,  and  work  houses
         — Inmates of other institutions,
             such as hospitals or  wards   for tuberculosis,  homes,  schools,
             hospitals,   or   wards   for   the    mentally   or  physically
             handicapped,   orphanages,  residential   treatment  centers  for
             emotionally disturbed children,  homes for unwed mothers, etc.

     •   Other persons in group  quarters (comprising about 1.4  percent of
         the population  of the nation 1n  1980.)
         —Military personnel  living in military  barracks  or on ships.
             (Residents  of housing units   on  military bases are  counted as
             part of the household population.)

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         —Residents of college dormitories,  fraternity or sorority houses,
             or rooming houses  exclusively  for college students,  provided
             there are 10 or more unrelated students  or 9 or more unrelated
             to the resident who operates the place.
         —Residents of rooming houses with 10 or more unrelated
             persons or 9  or  more  unrelated  to the resident in charge.
             Also included in this  category  are  people living in hotels,
             motels,  Y's  and  residential  clubs who  have  no permanent
             resident elsewhere.
         —Persons living in other group quarters such as convents,
             monasteries,  halfway  houses,  communes,  low-cost  transient
             quarters.  This  category  also  includes  crews of commercial
             ships, institutional staff residing in group quarters, persons
             residing in parks, campsites,  etc.
    Our  recommendation  is  that  the  National  Residential  Radon Survey
exclude  a) housing  units  that  are  located  on military  bases,  b)  all
institutional residences of  the  institutionalized  population, and c)  all
"other" types of living quarters.  The target population for the NRRS would
therefore be a) all  housing  units  that  are  continously occupied for 12
months that are not located  on military installations and b) the permanent
residents of these housing units.
    Our reasons for excluding certain  groups from the National  Residential
Radon Survey and our  recommendations  for  handling  these groups are given
below:
    1.   Housing units and other places  of  residence on military bases or
         installations;  We recommend  the  exclusion  of these groups from
         the NRRS because of  difficulty  of  access.   We do not recommend
         that they be covered in  any  other  EPA sponsored survey, for the
         same reason.    EPA  should,  however,   provide  the Department of
         Defense (DOD) with  copies  of  survey  design  reports and survey
         materials so that DOD can implement comparable surveys, if they so
         choose.
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2.   Inmates of  institutions;     We  recommend   the   exclusion   of  the
     institutionalized  population  from  the  NRRS   for  two  reasons,
     a) because the  need  for  separate  sampling  and data collection
     procedures would  make  this  a  very  costly  and  time  consuming
     addition,  and  b)  because  of  access  difficulty.    Typically,
     whenever  the  institutionalized  population  of  the nation   is
     included  in  a  survey  research  project,  it   is  covered using
     procedures that are  separate  from  those   used for the  household
     population survey, for these same two  reasons.    If EPA  does wish
     to measure the residential   exposure   of  the institutionalized,  we
     recommend that a survey covering this population segment  be  made a
     component of the  survey  of  places   of  work.     This would be a
     realistic supplement to  the  latter   survey, because institutions
     are places of work  that  would  be  sampled and measured in that
     survey.
3.   Other  persons  living  in   group  quarters;     We  recommend  the
     exclusion  of  this   group   from   the   NRRS.      As  with  the
     institutionalized population,  including  this  group  would require
     different sampling and  data  collection  procedures   and would  be
     costly and time consuming.
          —Students;     We  do   recommend  that  residents of college
          dormitories,   fraternities  or  sorority  houses  and rooming
          houses exclusively for  college   students   be  covered  in  the
          survey  of  schools.     Coverage  of these  types  of  living
          quarters for all  types  of residential  schools (excluding  the
          institutionalized  discussed  above)    should  be relatively

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easily fit into  the   school   survey  design.   The  students'
school exposure and   residential   exposure   could  be measured
using the  same  sample   schools   that  were  selected  from  a
stratum of schools having residential students.
—Military:    We   recommend   excluding   all  military,  as
explained above.
—Residents of large   rooming   houses,  monasteries,  transient
quarters, and persons living   in   parks,  on boats,  etc.;  We
recommend not obtaining   residential  radon exposure for this
very  small  group    of    people.       Their  residences  are
sufficiently different to  make  sampling and data collection
•ore difficult.  They are  also  different  enough  to call  for
analysis as  a  separate  group,   thus   requiring  substantial
oversampUng and the  associated increase  in cost.
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                             2.0 SAMPLE DESIGN

2.1   Introduction

    The general goals of  the  survey,  which  were described in Chapter 1,

need  to be  reformulated  into  explicit  statistical objectives for the key

population  parameters.     The   statistical   objectives,  including  the

associated  precision constraints, can  then  be  put  in priority order and

used  as the basis for  developing  a  sample  design.  EPA reformulated and

prioritized the study objectives as follows:


    (1)  First priority;  The survey  should provide a scientifically sound
         estimate of  the  frequency  distribution  of annual-average radon
         concentrations in occupied residences nationwide.

            •   Precision constraint;   The national estimate of the percent
               of homes with radon  concentration over 10 pCi/L should have
               a relative  standard  error  of  no  more  than  0.5, if the
               estimate is in the neighborhood of 0.5 percent.

    (2)  Second priority;     The  survey  should  provide estimates of the
         frequency distributions of  annual-average radon concentrations in
         occupied residences for subgroups such  as  the 10 EPA Regions and
         for subgroups defined along other  lines, such as whether the home
         is rented or is owner-occupied.   The survey should also permit us
         to assess the relationship  between indoor radon concentration and
         house construction and heating,  ventilation, and air conditioning
         (HVAC) characteristics.

            •   Precision constraint;  The estimate  of the percent of homes
               with radon concentration over  4  pCi/L,  for an EPA Region,
               should have a relative standard error  of no more than  0.5,
               if the estimate is 1n the neighborhood of 7 percent.

    These two precision constraints will  be  used in developing an optimal

sample design.  Then,  assuming  the  implementation  of the optimal sample

design, the likely precision  of  other  domain estimates will be assessed.

The setting of expected  percentages  at  0.5  percent  of homes with radon

levels over 10 pCi/L and 7 percent with radon levels over 4 pCi/L was based

on work by  Nero, et al.
INero,  A.V.,  Schwehr,   M.B.,   Nazaroff,   W.W.,  Revgon,  K.L.  (1986).
 Distribution of Airborne Radon-222 Concentrations in U.S. Homes.  Science,
 Vol. 234, pp. 992-997.

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2.2 Optimization Procedure
    The optimization procedure  that  was  used   develops an optimal sample
design that satisfies the specified precision constraints for minimal cost.
Two models had to  be  specified  for  use  in the optimization, a variance
model and  a  cost  model.    A  three  stage area  probability  sample of
residences, which was described in Chapter 1, is  assumed for each model.
    The variance  model  for  this  three  stage   design  is  given  by the
following equation:
    V{p) = V{p) [RH01]/n(l) + V{p}(l-[RH01])[RH02]/n(l)n(2)
           + V{p}(l-[RH01] + [RH01][RH02] - [RH02])/n(l)n(2)n(3)    (1)

where    V{p) = p(l-p), the population variance  for the proportion p,
         RH01 = the intracluster correlation among secondary sampling units
                (SSUs) within primary sampling units (PSUs).
         RH02 = the intracluster correlation among housing units (HUs)
                within SSUs.
         n(l) = the number of PSUs selected into  the sample.
         n(2) = the average number of SSUs selected per PSU.
         n(3) = the average number of HUs selected per SSU.
The variance model  in  equation  (1)  is  appropriate  for an unstratified
design.  For a stratified design,  which  will be employed for this survey,
we would use instead:
    V{p] = E W(h)2V{p,h),
        /\                                                      •*
where V{p,h} is given by equation (1)  and  is the variance of p in stratum
h, W(h) is the stratum weight, and the sum is taken over all strata.
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     Precision  constraints can be expressed  as upper bounds on the relative
 standard  error of estimated parameters.   The relative standard error (RSE)
   ^
 of p is given  by the equation
     RSE(p)  = sqr(V{p})/(p),
 where  sqr indicates the square root.  Multiple precision constraints can be
 imposed by  establishing  upper  bounds  for  acceptable  relative standard
 errors for  total population estimates and for domain estimates.
     The cost model  for  the  three  stage  sample  design  is given by the
 following equation:
     Total cost - CO + Cl*n(l) + C2*n(l)n(2) + C3*n(l)n(2)n(3),         (2)
 where     CO «  fixed cost, that is costs  that  are not affected by the size
               or distribution of the sample,
          Cl •  cost associated with the number  of  PSUs in the sample, on a
               cost per PSU basis,
          C2 «  cost associated with the number  of  SSUs in the sample, on a
               cost per SSU basis,
          C3 •  cost associated with the number  of  HUs  in the sample, on a
               cost per HU basis.
 The  values of  the cost components used in developing the sample designs are

     CO =  $810,928.00
     Cl =   $4,567.57
     C2 =     $432.78
     C3 =     $174.71.

The  cost cowponents were developed by partitioning the total estimated cost
of conducting  all  phases  of  the  National  Residential Radon Survey into
subparts and assigning each part either  to  the fixed cost component or to
one of the three stages of the sample.  The total cost was made up of
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a) all costs  for  Phase  I  of  the  survey,  which   includes design,  data
collection, and detector  placement,  b)   all  costs   for  Phase  II of the
survey, which  includes  panel   maintenance,   detector  retrieval,  and  data
analysis, and  c)  $300,000  for  the  purchase   and   reading  of the radon
detectors.  (The $300,000 cost   for  detectors  was divided by 5,000, which
was the number of responding sample  HUs  that  was budgeted, and assigned to
C3 as $60 per participating HU.)
    The sample  designs  and  allocations  discussed   in  section  2.3  were
                                                         2
determined using the techniques described in Chromy 1981.
  2.3  Optimizations Undertaken
       In our attempt to develop a sample design that will produce the  most
  precise survey estimates within the  allocated budget, we will proceed in
  a stepwise fashion, examining for  each  of  the following three cases the
  effect of meeting two different precision constraints:
       • Case 1:   We assume that the  percentage of residences with radon
                   concentration above 4  pCi/L is the same for each of the
                   10 EPA regions  and that   the percentage of residences
                   with radon concentration above 10   pC1/L is the same for
                   each of the  10 EPA regions.
       • Case 2:   We assume that the percentage of homes above each of the
                   two cut-off  points varies across EPA regions.
       • Case 3:   We assume that the percentage of homes above each of the
                   two cut-off  points  varies  across  EPA regions and  that
                   they can also vary  across  major geographic areas within
                   an EPA region, as well.
  The two precision constraints, which were specified in Section 2.1, are:
2Chromy,  J.R.  (1981).    Variance  Estimators  for  a  Sequential  Sample
 Selection  Procedure.    Current  Topics  1n  Survey  Sampling,  edited by
 Krewski, D., R. Platek,  and J.N.K. Rao,  Academic Press,  New York.
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      (1)     The  national estimate  of  the  percent  of  homes with radon
             concentration over 10 pCi/L  should  have a relative standard
             error  of  no  more  than  0.5,  if  the  estimate  is  in the
             neighborhood of 0.5 percent.
      (2)     The  estimate of the percent of homes with radon concentration
             over 4 pCi/L,  for  an  EPA  Region,  should  have a relative
             standard  error of no more than 0.5, if the estimate is in the
             neighborhood of 7 percent.
      In order  to develop  the  sample  allocations  shown in the exhibits
that  are presented, we first  set  up  a  simple  model for a three stage
stratified sample  design, which  was  described  in  Chapter 1.  For this
hierarchical design,  our primary  sampling  units  (PSUs) were defined as
counties, county equivalents,  or  combinations  of  these entities.  The
second stage units (SSUs), to be  selected within the selected PSUs, were
defined as smaller identifiable compact geographic areas, such as census-
defined blocks or  enumeration districts (EDs).  The third stage units, to
be selected within sample SSUs,  were the individual  housing units (HUs),
a random portion of which  will  be  included in the National  Residential
Radon Survey.
     Three sets  of assumptions  were  made  in producing the calculations
presented in  the  exhibits  provided  in  this  report.    The first set
consists of the  partitioning  of  the  survey  costs  into the four cost
components, CO,  Cl, C2,   and  C3,  which  were  described in the previous
section.
     The  second  set  of  assumptions  that  were  made  relate  to  the
homogeneity of the radon characteristic of interest within PSUs and SSUs.
Two radon  characteristics  were  considered,  the  proportion of housing
units with radon readings  greater  than  4  pCi/L, and the proportion of
housing units with radon  readings  greater  than  10  pCi/L.   All of the
calculations presented were made assuming  that  RH01,  which is a measure
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of the intraclass correlation of   the  radon  characteristic  "between"  SSUs
within PSUs,  was  equal   to  .05.     RH02,  which   Is  a   measure of the
correlation "between" HUs within   SSUs,  was assumed   to   be  .10.  These
assumptions  were  made  after investigating   the   homogeneity  of radon
concentration among the homes  measured  in  the  EPA/State  radon surveys.
(Note that the intraclass correlation  is  a  measure  of  homogeneity within
clusters.  For example, if the HUs  within  each SSU were  identical  on  a
given variable, but different from the  HUs  in  other SSUs,  the intraclass
correlation would be equal to 1.   If  the  HUs within  an SSU are no  more
alike than HUs In all the SSUs combined, the intraclass correlation would
be 0.  We are assuming some  but  not perfect homogeneity among the HUs in
an SSU and among SSUs within a PSU.)
     The third set  of  assumptions  involves   the   distribution of radon
levels across strata, which  were defined  as  the  10 EPA Regions.   For
Case 1 we assuaed that 1n each of the  10 strata,  7 percent  of  the housing
units will have radon readings over   4  pC1/L  and  0.5 percent will  have
radon readings over 10  pC1/L.    For  Case  2, these two percentages are
allowed to vary fro« stratum to stratum.  For Case 3, the two  percentages
are allowed to vary from substratum to substratum as well as from stratum
to stratua.
     Because of the great number   of   exhibits  that will be presented 1n
this Chapter, we have chosen to place  them all  at the end of the Chapter.
A description of each exhibit Is   provided 1n Figure 1, which  immediately
precedes the exhibits,  to  give   the   reader   a  quick reference for the
exhibit comparisons.
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2.3.1  Case 1
     For Case  1,  we  assumed  that  in  each  of  the  10  strata, each
representing one of the 10 EPA regions,  7 percent of the homes will have
radon readings over 4 pCi/L  and  0.5  percent will  have readings over 10
pCi/L.
     Exhibit 1 shows  the  sample  allocation  when   the only restriction
placed on  the  sample  is  precision  constraint  (1),  that  a national
estimate of the magnitude of  0.5  percent have a relative standard error
no larger than 0.5.  This would mean that the actual  standard error would
be no larger than (0.5)(0.5 percent) = 0.25 percentage points.  To obtain
this level of precision,  the optimal design calls for a total of 89 PSUs,
398 SSUs, and 1,879 HUs.
     Notice that in  computing  the  optimum  sample  allocation, the cost
components and intraclass correlations used are those described above and
are the same as those used for all of the other optimizations presented.
     Eleven  estimates  are  described,  the  national  estimate  of  the
proportion of homes with radon concentration  over 10 pCi/L and, for each
of the 10 EPA Regions, an estimate  of the proportion of homes with radon
concentrations over 4  pC1/L.    Both  variables,  the proportion over 10
pC1/L and the proportion over  4  pC1/L,  are set uniformly across the 10
strata, defined by EPA Region,  at  .005  for  the former and .07 for the
latter.
     The exhibit column headed "Desired  Maximum RSE" shows the precision
requirements that we used in  the  calculations.   For Exhibit 1 the only
precision requirement that we used 1n the optimization procedure was that
a national estimate of .005 have  a relative standard error of 0.5, which
is shown by the 0.500 entry in this column for the U.S. Total.  The other
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entries in this column were  set  to  9.000,   a  number so large that the
sample allocation would not  be  affected   by   regional  constraints.   The
actual relative  standard  errors  that should  result  from  the sample
allocation shown in the  lower  portion of the  table  are shown in the
column headed "Achieved RSE."  For  the national  estimate of 0.5 percent,
the relative standard error  will  be  about   0.500,   as shown in the top
entry of this column.    For  regional   estimates of  about 7 percent, the
relative standard errors range from a low   of   .298 for EPA Region 5  to a
high of .728 for EPA Region 8.
     Notice that the percentage  distributions   of the population of HUs
and of the sample of HUs are  the same,  reflecting the fact that an equal
probability design is optimal  under  the   set  of assumptions employed in
the calculations for Exhibit 1.  An equal probability design results  in a
proportional allocation  of  the  sample across  strata.    For the  cost
components assumed, the cost of the survey  using this allocation would be
about $1,717,000.
     Exhibit 2 reflects the setting of precision requirements on regional
estimates as well as on the  national  estimates.   If for each of the 10
EPA regions we  require  the  estimated proportion  of  homes with radon
measurements over 4 pCi/L to  have  a  relative standard error of no  more
than 0.5, we would need about  93  PSUs, 415   SSUs,  and 1,959 HUs.  This
allocation increases the sample  size  over that  shown in Exhibit 1 for
each of 4 strata, identified as Regions 1,   7,  8 and  10, all of which had
relative standard errors larger than 0.5 for the first sample allocation.
The somewhat larger sample shown in  Exhibit 2 also has a somewhat higher
estimated total cost, about $1,756,000  as  compared to $1,717,000 for the
sample described in Exhibit 1.
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      If the only purpose  of  the  survey  were  to generate 11 estimates
meeting the stated precision, the sample  described in Exhibit 2 would be
sufficient.   A  larger  sample  size  was  invisioned,   however, because
estimates for other  domains  were  also  desired,  even though precision
constraints for these  other  estimates  were not explicitly incorporated
into  the optimization procedure.   Exhibit  3 shows the  sample allocation
described in Exhibit 2, expanded to a sample size of 5,000 HUs, which was
the size that was specified  in  EPA's  Request for Proposal and the size
used  for estimating costs  for  the  survey.    Keeping  the same relative
allocation of housing units to  strata,  as  was shown in Exhibit 2, each
stratum allocation was Increased by a  constant factor to force the total
number of HUs to 5,000.    Similarly, each stratum allocation of segments
was increased by a constant factor  to force the total number of segments
to 1,000 and each stratum allocation  of PSUs was increased by a constant
factor to Increase the total number of  PSUs to 125.  The total estimated
cost  now equals that budgeted for  the all phases of survey, namely about
$2,268,000. This type of adjustment  will  be  made for  each of the three
cases examined,  permitting  easy  comparisons  of  the   different sample
allocations.
2.3.2  Case 2
      For Case 2, we continue  to  assume that, nationwide, the proportion
of homes with radon  concentration  over  4  pC1/L  is  7 percent and the
percent over 10 pC1/L Is 0.5  percent,  but we allow these percentages to
vary  from region to  region.    Using  results of short  term measurements
taken 1n the EPA/State Radon  Surveys  that  have been conducted and also
long  tern measurements taken by firms that produce alpha track detectors,

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we  classified  each  region  as   High,   Medium  or  Low,  and  assigned
approximate percentages to each  category.    These percentages were then
adjusted so that they would  produce  national  estimates of 7 percent and
0.5 percent for the two radon levels,   as we have assumed.  We arrived at
the following set of assumptions:
                      Assumed percent          Assumed percent
       Area            over 4 pCi/L             over 10 pCi/L
USA
"High" strata
"Medium" strata
"Low" strata
7
13
7
1
0.5
1.0
0.2
0.1
     Exhibit  4  shows  the  optimal   sample  allocation  when  the  only
constraint placed on the sample is  that  for the  national  estimate of the
percentage of homes having a radon concentration  over 10 pCi/L.   Assuming
the estimate is approximately  0.5  percent,   the relative standard error
should be no larger than  0.5.     This constraint can be satisfied, given
the set of assumptions for Case  2,   with  a sample of 70 PSUs,  313 SSUs,
and 1,480 HUs, and a total price tag of $1,525,000.  By comparing the two
columns "Pop % of HUs" and "Samp % of HUs"  you can see that the  sample is
now more highly concentrated than the population  in regions classified as
having high radon potential.
     Exhibit 5 shows the  optimal  sample allocation when constraints are
placed on regional estimates as  well  as  on the national estimate.  The
additional constraints that were set are  as follows:
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     • For a regional estimate in the  neighborhood of 7 to 13 percent of
       the homes having radon  concentrations  over 4 pCi/L,  the relative
       standard error should be no more than 0.5.
     • For a regional estimate  of  1  percent  of the homes  having  radon
       concentrations over 4 pCi/L, the relative standard error should be
       no more than 2.
     The  constraint  on  regional  estimates  of  small  percentages  was
relaxed for two reasons.   First,  from a decision-making standpoint,  one
does not need as  great  relative  precision  for estimates of very  small
percentages as for estimates  of  larger  percentages.   For example,  the
development of action  programs  would  dictate  that when estimating  the
percent of  homes  having  very  high  radon  concentrations,   it is more
important that an estimate of 13 percent have a standard error of no more
than 6.5 percentage points than  it  is  for  an estimate of 1 percent to
have a standard error of no  more  than 0.5 percentage points.  One  would
not, therefore, require that  the  relative  standard error be no greater
than 0.5 for estimates of  magnitude  1  percent as well as for estimates
near 13 percent.
     The second reason for  relaxing  the precision constraints for  small
estimates is that, in  order  to  achieve  a very small relative standard
error for a small estimated  percentage,  a  very large proportion of  the
sample  must  be  concentrated  in  strata  classified  as  having  a  low
residential radon potential.  Because such strata have smaller variances,
increasing the sample there reduces the sample size in strata  with larger
variances causing the precision of the two major national estimates  to be
reduced.
     To achieve the precision  constraints  listed above for  the national
estimate  of the percent of homes  with radon concentration above 10  pC1/L
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and for  the  regional   estimates   of  the   percent   of  homes  with  radon
concentration above 4 pCi/L,  we would  need   77  PSUs,  344 SSUs,  and  1,625
HUs, for a total  survey cost  of $1,595,000.   (Exhibit 5.)
     By keeping the  same  relative  sample   allocation across  strata  but
expanding the sample to include 125  PSUs,   1,000  SSUs, and  5,000  HUs,  we
have a survey that is  expected to cost  $2,688,000,  the amount budgeted.
(See Exhibit 6.)
     Our attention so far has  been  entirely focused on estimates of  two
characteristics,  the percentage of homes  with radon  concentration over 4
pCi/L and percentage with  concentrations over   10   pCi/L.   There are of
course other characteristics  that  will  be estimated from the survey  data.
For estimating  characteristics having  variances that  do not parallel
those assumed for the two radon variables on which we are optimizing,  our
"optimal"  design  will  not    produce    the  greatest  precision.    For
characteristics whose variance is  the  same   from  stratum to stratum,  for
example, a proportional allocation, similar   to   that shown  in  Exhibit 1,
would produce the greatest precision.    One of  the trade-offs  associated
with using a design that is optimum for certain  estimates is that  one  may
well substantially decrease the precision of other estimates.
     In order to assess the potential loss in precision for  estimates  for
which a proportional allocation of  the  sample   to our defined strata is
optimal,  we  have  determined  the  relative standard  error   for   such
estimates, assuming we used the design  shown  in Exhibit  6.   Exhibit 7
shows the sample allocation described  in Exhibit 6  but presents  for  the
relative standard errors those that we  would obtain 1f the characteristic
being estimated  actually  had  the  same distribution  from  stratum to

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stratum.  As can be seen in  the column headed "Achieved RSE," a national
estimate of 0.5 percent would have a relative standard error of 0.431 and
all regional level estimates of the  magnitude  of 7 percent would have a
relative  standard  error  no  larger   than  0.455,  if  the  population
proportions were in fact as given in the second and third columns,  namely
7 percent and 0.5 percent.
     Another way of looking at  the  information  in  Exhibit 7 is to see
what the precision of our  most  important  estimates would be if we were
all wrong in the  way  we  classified  regions  into high,  medium and low
radon potential.  If we  based  our  design  on the assumption that these
classifications were correct and  later  found  that they were incorrect,
that  in  fact  the  values  were  the  same  in  all  strata,  we would,
nevertheless, achieve the desired  precision.    The national estimate of
0.5 percent  would  have  a  relative  standard  error  of  0.431 and the
regional estimates of 7 percent  would  have a relative standard error of
no more than 0.455.  (Exhibit 7.)
2.3.3  Case 3
    For Case 3 we continue to  assume that, nationwide, the proportion of
homes with radon concentration over 4  pCi/L  is 7.0 percent and that the
proportion of  homes  with  radon  concentration  over  10  pCi/L  is 0.5
percent, but we allow these  percentages  to  vary, not only from one EPA
region to another, but also from one state to another within a single EPA
region.  Using the results of  short term measurements taken in EPA/State
Radon Surveys and also  the  results  of  long term measurements taken by
commercial firms that produce alpha track detectors, we classified states
or major portions of states within each EPA region into High, Medium, and

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Low  radon-potential  substrata.     These  classifications  are  shown in
Exhibit 8.
    Exhibit 9 shows the optimal   sample design  for achieving the relative
standard error listed in the  "Desired   Maximum RSE"  column and shows the
actual relative standard errors  that would  result from the design  in the
"Achieved RSE" column.  The allocations to the  substrata are presented on
the second page of Exhibit 9.  The  design calls for 71  PSUs,  317 SSUs and
1,498 HUs.
    Exhibit 10 Inflates the allocation  shown in Exhibit 9 so that we  have
the proposed 125 PSUs, 1,000  SSUs,   and  5,000  HUs.   Note that for  both
Exhibit 9 and Exhibit 10,  the  precision  constraints  were set  at 0.5 for
the maximum acceptable relative  standard  error for the national  estimate
of 0.5 percent of the homes with  readings over  10 pCi/L.   The constraints
on the precision of the regional  level  estimates for  the percent of homes
with readings over 4 pCi/L were   a  maximum relative standard error  of 0.5
for estimates of 5.0 percent or  larger, a maximum relative standard error
of 1.0 for estimates of 2.0 percent or  more but less  than 5.0 percent and
a maximum relative standard error  of  2.0 for  estimated percentages  less
than 2.0.   With  the  Exhibit 10  design,  the  national estimate  of 0.5
percent has a relative standard   error   of  0.325.   The precision  of the
regional estimates varies from a low relative standard  error of 0.133 for
an estimate in the neighborhood   of  11.3  percent for  Region 5 to  a  high
of 0.718 for the relative  standard  error  of  an estimate of 1.4 percent
for Region 9.
    Exhibit 11 shows the relative standard  errors that would be achieved
if we used the allocation  described  in  Exhibit 10, when in reality the

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substrata did not  vary  on  residential   radon  concentration as we have
assumed, but instead were constant across substrata.   The requirement for
the national estimate is  still  met,   with  a relative standard error of
0.415 for an estimate of 0.5 percent.   The precision  requirements for the
regional estimates are met in  all  regions except Region 10, which would
yield a relative standard error of 0.580 for an estimate of 7.0 percent.
    We  feel  that,  even  if   the   substrata  values  assumed  in  the
optimization are not  exactly  correct,  the worst-case actual occurrence
would be that assumed in Exhibit 11.  We are not,  therefore,  presenting a
table showing the relative standard  errors  if the substrata values were
the reverse of what we assumed,  that is, were actually high  in substrata
we called low and low in substrata that we called  high.
2.4  Recommended Design
    The sample design that we  recommend is that presented in Exhibit 12.
This is essentially the  same  design  as  shown  1n  Exhibit  10, with the
following adjustments:

    •  The number of PSUs in a  substratum  was rounded to a  whole number
       and set at a minimum of 2 PSUs.
    •  The numbers of SSUs  and  HUs  1n  a  stratum were also rounded to
       whole numbers. The number of SSUs  per  PSU  was set at 8, and the
       number of participating HUs per SSU was set at 5, for staffing and
       work-load reasons.    (The  actual  number  of  HUs  that  will be
       selected into the  sample  will  of  course  be enough larger than
       5 per SSU to yield an average of 5 participating HUs per SSU.)
    The distribution of the population of  HUs and the proposed sample of
HUs is shown on the  second  page  of  Exhibit 12.  The Low substratum of
Region 5 will  have the lowest sampling rate, with  only 1.6 percent of the
sample coming from that  substratum,  which  contains  3.7 percent of the
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population of HUs.   The High substratum  of  Region  9  will  be sampled  at  the
highest rate,  with  1.6 percent  of  the sample coming from this substratum,
which contains only 0.5 percent of the  population of  HUs.   The ratio  of  the
lowest to the highest  sampling  rate   is about  7.8.     Note that,  if  the
substratum values are as we  have  assumed   here, we  will  identify about 36
HUs with radon levels over 10  pCi/L using the recommended compared to only
about 25 using an equal probability design.
      Exhibit 13 contains additional  values for the expected precision of
estimates of the  two  key  parameters,  percent  >4   pCi/L  (Column  5)  and
percent >10 pCi/L (Column 6).   The precision of domain estimates is given
for domains ranging in size from 50 percent   to 5 percent of the HUs  in  the
nation.  This  generalized  precision   table can   be  used to evaluate  the
anticipated precision of estimates  for  domains not  explicitly included in
the design criteria, for example, domains based on HU construction or  HVAC
characteristics.
      Row 1 of the  table  represents   the precision  for national estimates
(100 percent domain).    Rows  2  and   3 give  the  range  of the expected
precision for  50  percent  domain  estimates,  reflecting  two extremes of
clustering.  Row 2 assumes that half of  the HUs in each sample SSU fall in
a particular domain.  This is the  "best case" scenario.  Row 3 assumes  all
of the HUs in half of the sample SSUs are in the domain and none of the  HUs
in the remaining half of the  sample SSUs   are  in that domain.  These  two
extremes represent a lower bound and a   likely upperbound for the RSE of an
estimate for a 50 percent domain that   covers all of  the PSUs.  All domains
described in Exhibit 13 are  assumed to be represented 1n all 125  sample
PSUs, which would be typical of domains defined along other than geographic
lines.
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       Rows 4 and  5  give  the  likely  precision  of estimates for domains
 comprising 25 percent of the population.    Rows  6  and 7 and Rows 8 and 9
 provide  the same  information  for  domains  representing  10 percent and 5
 percent  domains of the population of HUs, respectively.
       Inspection of the table reveals that good precision (RSE<0.25) can be
 achieved for estimating the  percent  >4  pC1/L  for  domains as small as 5
 percent.  Acceptable precision  (RSEs)  can  be achieved for estimating the
 percent  >10 pCi/L for domains as small as 25 percent.
       Exhibit 14 presents precision estimates in a format identical to that
 used  in  Exhibit 13, but with one  important modification.  In Exhibit 14 we
 assume that the key  parameters  were  equal  in  all of the design strata.
 This  exhibit can be used to evaluate how "robust" the recommended design is
 to errors in our assumed radon distribution.
       As  one  would  expect*  the  precision  of  the  domain  estimates in
 Exhibit   14 are inferior to  those  in  Exhibit 13.  However, the precision
 constraint for the national estimate of percent >10 pCi/L is still attained
 and acceptable precision (RSE < 0.50) is still attained for the percent
 >4 pCi/L  for even the 5 percent domain.
       In addition  to  the  precision  constraints  used  in developing the
 optimal sample design, EPA  has  a  number  of other domain estimates which
 they  hope will have small relative  standard errors.  Some of these domains
 are described in Exhibit 15.   If  we  wished to estimate the proportion of
 single family homes with radon concentration  over 4 pCi/L,  for example, we
would  expect that an estimate  of  7  percent would hae a relative standard
error  of 0.09, as can be seen in the top row of Exhibit 15.   In determining
the relative standard error  that  we  would  expect,  we  had to make some

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assumption about the  geographic  dispersion   of   single  family homes.  We
found that about 65 percent of  housing  units in  the  population are single
family homes and we  expect  about  that   same percentage of single family
homes in  the  sample  (column  1).     We  also expect  that  they will  be
distributed over 100 percent of the  125  PSUs  (column  2), 80 percent of the
SSUs (column 3), and 80 percent  of   the   HUs  within the SSUs in which they
are located.  Note that all  of  the  entries   in  column 5 of Exhibit 5 are
less than 0.5.    This  means  that   for   each of the subgroups described,
estimates in the neighborhood  of 7  percent   would have relative standard
errors that we expect to be less than 0.5.
      The recommended sample design   should,   therefore, yield estimates  of
the  percent  of  homes  having  high  radon   concentration  with precision
sufficient to satisfy EPA's needs.    We  expect both national estimates and
estimates for important domains to  have   greater  than the minimum required
precision.
2.5   Comparing the Recommended Design with the Minimal Design
      The recommended design shown in  Exhibit 12  satisfies  a) EPA's two
explicitly stated precision  requirements  and    b)   the 5,000 sample size
specified in EPA's  Request  for  Proposal.    Recall   that the recommended
design was adapted from the  design   shown in Exhibit 9 by first expanding
the sample size to  5,000,   using certain guidelines Imposed by practical
field   work   constraints,    then    incorporating   certain   statistical
restrictions, such as rounding the  number of PSUs   to be selected from a
stratum to a whole number and  requiring   at   least two PSUs to be selected
per stratum.  Exhibit 16 shows  the   Exhibit   9 sample design adjusted In a
similar manner, but  to a sample  size of about 2,000, rather than a sample
size of 5,000.
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      As can be seen  in the last  column  of the top portion of Exhibit 16,
for a sample of 2,130 HUs the national estimate of 0.5 percent of the homes
having radon  concentration  above  10 pCi/L,  is  subject  to  an expected
relative standard error of 0.49, which meets the precision requirement that
the relative standard error be no  more than 0.50.  Similarly, for regional
estimates of the percent  of  homes  with  radon  levels  over 4 pCi/L, the
constraints that  were  used  for  the  recommended  design,  and listed in
section 2.3.3, are satisfied.  These  constraints were:  a maximum relative
standard error of 0.5 for  estimates  of  5.0  percent or larger, a maximum
relative standard error of 1.0  for  estimates  of  2.0 percent or more but
less than 5.0 percent, and  a  maximum  relative  standard error of 2.0 for
estimated percentages less than 2.0.
      A sample of 5,000 obviously costs considerably more to implement than
a sample of 2,130.  We will examine here some of the benefits obtained from
using the recommended design rather than the minimal design.
      The most apparent advantage a  sample  of 5,000, rather than a sample
of 2,130, is that we will pick up  about  2 1/2 times as many HUs with high
radon levels.  For  example,  we  expect  about  36 sample homes with radon
levels over 10 pCI/L using the recommended design compared to only about 15
using  the  Minimal  design,  providing   us  with  a  greater  ability  to
characterise high radon level homes.
      Even though the minimal sample design, shown in Exhibit 16, satisfies
the minimum  precision  constraints  that  were  set,  estimates using this
design will not be  as  precise  as  those  based  on the 5,000 size sample
design.    The  relative  standard  errors  contained  in  Exhibit 17 can be
compared to those 1n Exhibit  13  to  see what differences in precision are

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likely to occur as a result   of   the  difference  in  sample  size.   Comparing
the values in  the  fifth  columns  of   the  two  exhibits  reveals that  the
expected relative standard errors of   estimated  percentages of  homes with
radon concentration over 4 pCi/L  are  40 to  60 percent higher for estimates
based on a sample size  of   2,130 than  they  are for estimates  based on  a
sample size of  5,000.   The same  relationship holds when comparing  the
precision of estimates of the proportion of homes with concentrations over
10 pCi/L, the values found in the sixth columns of the two  exhibits.
      Comparing  the  expected precision of  the   estimates  described in
Exhibit 18 with those shown   in   Exhibit  15 shows   again  that a sample of
2,130 HUs can be  expected   to produce  estimates having relative standard
errors in the neighborhood of 40  to  60 percent  higher than those obtained
from a sample of 5,000.
      In general, we can conclude that the  confidence intervals  for domain
estimates would be about one and  one half times as large using the smaller,
minimal sample design than   they  would  be  if the  recommended design were
used.  Increase in precision is one of  the major  advantages derived from an
increase in sample size.    This  type   of  advantage will also  occur when
carrying out more complicated statistical analyses of the survey  data.   The
larger sample will of course  support   more  detailed data analysis than  the
2,130 sample will.
      In addition to comparing the precision of estimates made from each of
the two designs, we can also investigate their respective ability to detect
differences that  exist between  different  subgroups  in  the population.
Power curves, which will enable us to make these  comparisons, are presented
in Figures 2, 3, and 4.
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      To help the reader  better  understand  the  concept of power,  let us
consider  three  equal  size   population  subgroups  that  have  different
percentages of homes with radon concentrations  in  excess of 4 pCi/L.   Let
us suppose that the percentage  of  homes  above  4  pC1/L is 7 percent for
group A, 8 percent for group  B,  and  93  percent  for group C.  What  size
samples must we have to be able  to  show that the percentage of homes  with
radon levels over 4 pCi/L is  smaller  in  group  A  than it is in group B?
What size samples must we have  to  be  able to show that the percentage of
such high radon  homes  is  smaller  in  group  A  than  it  is in group C?
Intuitively, we would  guess  that  we  would  need  much larger samples to
demonstrate the group A  and  group  B  relationship  than we would need to
demonstrate the group A and group C  relationship.  Our ability to detect a
difference between two population subgroups  is  in fact related to:  a) the
magnitude of the difference  between  the  two population subgroups,  b) the
variability  of  the  characteristic  within  each  of  the  two population
subgroups, and  c)  the  size  and  design  of  the  samples  from  the two
population  subgroups.    The  power   tables  described  in  this  section
demonstrate the effects of two different  sample sizes, 5,000 and 2,130, on
our ability to detect  differences  that  exist  in population subgroups of
different sizes.  The type of question  that the power tables answer is the
following:  If two population  subgroups  differ on the percentage of homes
with radon levels over 4, with the percentage being larger for group 2  than
it is for group 1, what is the likelihood that our survey results will  show
that group 2 has a higher percentage of high radon homes than group 1?
      The curves in Figure 2  show  the  power  of  the surveys to detect a
difference  in  the  residential  radon  concentrations  of  two population

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subgroups that do in fact differ   from one another.  More specifically,  the
curves show the probability  of  our detecting a difference  in  the predicted
direction if 7 percent of the  homes  in  population subgroup j have  radon
levels over 4 pCi/L and only 1 percent of the homes in population subgroup
i have radon levels over 4.   To   test  for such a difference,  we would test
the hypothesis that groups i  and   j  have the same proportion  of homes with
radon levels over 4 pCi/L, which  is called the null hypothesis, against  the
alternative hypothesis that  a larger proportion of homes in group j than in
group i have radon concentrations over this  level.   If we use an alpha of
.05, the probability of our  detecting  a difference between p,- and p.,-  would
be that shown by  the  four   curves  in  Figure  2.    If  each of two such
subgroups 1s a geographical  subpart of  the nation, and each contains  about
0.05 of the nation's  housing  units,  the  sample  of  2,130  has only a 40
percent chance of detecting  the difference between the groups  (the far left
point on the lowest curve).   On   the  other  hand, the sample of 5,000  has
about a 64 percent chance.  As  we follow the two lower curves to the  right
to determine the power associated with  larger and larger subgroups, we  can
see that If  each  geographic  subgroup  contains  about  40 percent of  the
nation's housing units,  the chance  of  detecting  the difference becomes
almost a certainty for both  of  the sample sizes.
      The top two curves on  the Figure  2 graph show the ability of the  two
different sample designs to  detect differences between subgroups defined on
other than geographic lines.    These  are  power  curves for  somewhat of a
"best case" scenario, where   instead  of comparing two different geographic
subgroups, we ownpare  two  subgroups,  each  of  which is  widely dispersed
across all of the sample segments.   The "best case" scenario assumes that

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there is a cancelling out of  certain  correlation  terms,  resulting  in  error
variances equivalent  to  those  of a  simple   random   sample.   For  small
subgroups of approximately 0.05 of the  population,  the  sample of 2,130  has
only about a 73 percent  chance  of detecting  a difference  between the  two
subgroups, whereas the sample of 5,000  has  about  a  96 percent chance. This
can be seen in the far left points  of the two  top curves  in Figure 2.   For
larger subgroups, each containing about .20  of  the population, the  power is
about the same for the two  designs.     Figure  2 shows,  therefore,  that  the
recommended sample design has  a  much  greater power than  the  alternative
design to detect a difference between   "low"  and  "medium"  radon levels in
small population subgroups.
      Figure 3  shows  comparable  power curves  for detecting  differences
between medium level and high level  groups,  the former defined as 7 percent
of homes with radon  concentrations over 4 pCi/L  and   the latter as   13
percent of homes over that level.   Notice   that  the curves are less  steep
than those shown in Figure  2  and  that the differences  between the  5,000
sample size design and  the  2,130  sample   size curves  are  more pronounced
than they were in  Figure  2.    Even   when   comparing two large geographic
groups, each containing about half  of  the  nation's population, the larger
sample size has  considerably  more power   than  the  smaller sample  size,
demonstrating the consistent greater ability of the  larger sample to detect
differences between medium and high level radon groups.
      The powers to detect a  difference between  a  "low"  radon  level  group
having only 1 percent of the homes  over 4  pCi/L  and a  "high" group having
13 percent of the homes over  4  pC1/L  are   shown in Figure 4.  Again,  the
larger  sample  size  consistently  shows a greater  power of detecting

                                   2-23

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differences between even large  geographical  groups.   For nongeographically
defined subgroups (the two top  curves),   the recommended design is clearly
more powerful than  the  alternative   design   for   small  subgroups, but for
subgroups, each of which is  about  one   quarter or more  of the population,
the two designs are about equally powerful.
      There are, of course, many other ways  in which  the  recommended sample
design and the minimal  sample  design  can   be compared.  The comparisons
described  in  this  section  simply   highlight the   greater  precision of
estimates provided by the recommended  design  and the  greater ability of the
recommended  design  to  detect  existing differences between  population
subgroups.  The  additional  cost  associated  with implementing the larger
design does indeed "buy" some important  advantages.
2.6   Procedures for Selecting the  Sample
      In earlier sections  we  briefly  discussed   the manner in which the
three stage area  probability  sample  of HUs  would  be  selected for the
ational Residential Radon  Surveys.   These   procedures   will described in
greater detail in this section.
      2.6.1   Selecting PSUs
              A probability sample  of  PSUs  will be selected within each of
  the 22 strata shown in Exhibit 8.     We  will select the exact number of
  PSUs called for in the recommended design  described in  Exhibit 12.
      Using the latest  (1987)  Market  Statistics,  Inc. data that provide
  estimates of the number of housing   units   for each county in the nation,
  we will assign a  current  housing   unit  count   to each county or county
  equivalent.   Those  with  fewer  than  1,000 HUs   will  be  linked with
  adjoining counties or county equivalents  to  form   PSUs having a minimum
  of 1,000 HUs.
                                   2-24

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    We will append  the  following  1980  Census  information to each PSU
record:
    •  SMSA Status:        Whether or not the PSU is part of an SMSA.
    •  Urbanization:       Percent of HUs located  in areas classified as
                           urban.
    •  Heating equipment:  Percent of HUs with warm air furnace or heat
                           pump.
    •  Heating fuel:       Percent of HUs with utility gas.
Using these variables, the PSUs  within  a  stratum  will be ordered in a
serpentine fashion, so  that  PSUs  with  similar characteristics will be
next to one another on the  list.     We will  then use Chromy's sequential
selection procedure, which  was  referenced  earlier  in this chapter, to
select the specified number of  PSUs  from each stratum, with probability
proportional to  the  estimated  number  of  HUs  in  the  PSU.   Using a
sequential selection procedure  on  an  ordered  list  produces an effect
similar to the effect that could  be derived  from a formal  stratification
procedure.    Such  procedures  help  assure   that  all   aspects  of  the
population are properly represented  in  the   sample and may provide some
increase In the precision of the sample estimates.
    2.6.2   Selecting SSUs
            The SSUs within each  sample  PSU  will  be made up of Census
defined blocks or enumeration  districts  (EDs).   Units containing fewer
than 25 occupied HUs  In  the  1980  Census  will be combined with nearby
units to for* SSUs having a minimum  size  of 25 HUs.  We will append the
following 1980 Census Information  to each SSU record:
    •  Urbanization:  The place size code  for  the  largest place in the
                      PSU will be   Identified.    An  SSL)  that is all or
                      partly in a  place   of  this size will be classified
                      as high urban.   Other   SSUs  will be classified as
                      low urban.  (A  place  is a heavily populated area,
                      typically, but not  always,  incorporated as a city
                      or town.   Place  size   codes  of  01, indicating a
                      population  under   200,   to   16,   indicating  a
                      population of 1,000,000  or  more, were assigned to
                      the 23,000 places by the Census Bureau.)
                                 2-25

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    •  House value:    An index of house  value  will be  computed  by  taking
                      the weighted  average  of   1  percent   of  the house
                      value for owner occupied HUs and  the rent  value for
                      rental  HUs.
    •  Ownership:      Percentage of occupied HUs  that are owner  occupied.
Within each sample PSU,  the SSUs  will be ordered in a  serpentine fashion
using the  variables  listed  above,   and  Chromy's  sequential  selection
procedure  will   be   used  to  select exactly  8 SSUs with probability
proportional to the  number of occupied HUs in the SSU.
    Each sample SSU  will be identified on  a map, and a sketch of the SSU
will be prepared.    Maps,  sketches,   listing  forms  and a  copy of RTI's
Field Listing Manual will  be  sent to experienced field representatives,
who will visit each  sample SSU in the PSU.  Each  sample SSU  that contains
150 or  fewer  HUs  will  be  listed  in its  entirety.  Using explicit
instructions, the field  representative will  proceed  around the SSU in a
prespecified manner  listing the addresses of  all HUs located within the
SSU boundaries.   In  order to avoid listing an excessively large  number of
HUs, SSUs  containing more than 150 HUs  may be partitioned into  subparts,
one or more of which will be randomly selected for listing.
    Field representatives will maintain  close contact with RTI's sampling
personnel, so that any discrepancies  between  the expected  number  of HUs
and the actual number can be  resolved.  This close interaction  will help
avoid problems of improper field  identification  of sample  SSUs and will
help maintain field  listing costs.    Field materials will be returned to
RTI and carefully edited,  on  a  flow  basis.    This   will permit us to
identify problems at an   early  stage  so  that   corrective  action  can be
taken.
                                 2-26

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    2.6.3   Selecting HUs
            A random systematic sample  of  a  specified number of listed
addresses will be selected from  each  sample  SSU.  The sample addresses
will be sent to the field for inclusion in the National Residential Radon
Survey.  When  a  field  interviewer  visits  a  sample address, she will
include in the sample all HUs  at  the sample address and all HUs between
the sample address and the "next listed" address on the SSU listing form.
Using this "half  open  interval"  procedure  assures  that HUs that were
missed in the listing process will  be given their proper chance of being
included in the survey.
    Records showing the probability  of  selection of each sample address
will be maintained  so  that  sampling  weights  that  reflect the sample
inclusion probabilities  can  be  assigned.    Such  sampling weights are
needed for  the  generation  of  unbiased  population  estimates from the
sample data.   All  data  analysis  will  be  carried  out using properly
weighted data, that reflect sampling inclusion probabilities, adjustments
for nonresponse, and the full complexity of the sample design.
    2.6.4   Controlling Sample Size
            In order to obtain  a  sample  of  5,000 participating HUs, a
much larger sample must be  selected.    Some sample addresses will yield
more than one survey-eligible HU  while other sample addresses will yield
only HUs that are ineligible for  the survey, for reasons such as vacancy
or residents having definite  plans  to  move.   In addition, some sample
households will refuse to  participate,  others will participate but fall
to return their detectors,  and others will return detectors that prove to
be unreadable.  We must estimate the  amount of expected loss for each of

                                 2-27

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these types of nonresponse  in  order  to  determine  the number of sample
addresses to be fielded.     If  we  underestimate   the expected loss,  our
sample will end  up  smaller  than  the  5,000   we  had  hoped for.   This
likelihood  could  be  reduced  by  using  somewhat  higher  estimates of
expected loss, but this approach could bring about  higher field costs  and
a sample considerably larger than the 5,000 targeted.
    We do plan to implement the  survey using methods  that will  provide us
with additional control  over the size  of  the   sample.   Two SSUs  in  each
PSU will be  randomly  identified  as  "early  report"  SSUs.    The field
interviewers will be instructed   to  work  the   sample addresses in these
SSUs first.    Evaluation   of the  early  returns  will   provide  us with
additional information on  vacancy  rates,   expectation of moves, response
rates, etc.  Using this information,  we can make a  more informed decision
on the number of sample addresses that should be included in the survey.
    We will have selected  from  the  SSUs  that were  not designated to be
"early report" SSUs a somewhat  larger  number  of addresses than we think
we will need.  These sample addresses will  be randomly partitioned into a
regular sample and two  reserve   samples.    Each   sample address  will be
identified  and  color  coded to  indicate  its classification.   Field
interviewers will  implement  only  the  regular sample  addresses until
instructed to do otherwise.  After  we  have had a  chance to evaluate the
results obtained from the  early   report  SSUs,  we will decide whether one
or both  of  the  reserve   sample  of  addresses is   needed.    The field
interviewers will then be   provided  with  Instructions pertaining to the
implementation of the reserve samples.   Use of this  early report-reserve
sample methodology will  provide  us  with some additional  control over the
sample size for a very minimal cost.
                                 2-28

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         Figure 1.  Summary of the Exhibits and Figures Presented
The Exhibits  that  follow  are  based  on    a)   three  different  sets of
assumptions about the distribution  of  residential  radon concentration and
b) the  following  two  types  of   precision  constraints  on  the  survey
estimates:
         The   estimated   percent   of   homes
         concentration above 10 pci/1,   for  the	
         have a relative  standard  erroro7nomore
         estimate is in the neighborhood of 0.5 percent.
                               with   residential  radon
                               nation as a whole, should
                                      than0.5 when the
         The   estimated   percent   of   homes   with
         concentration above 4  pci/1,   for  each  of      	
         should have a relative standard  error  of  not more than 0.5 when
         the estimate is in the neighborhood of 7.0 percent.
                                      residential  radon
                                    the  10 EPA Regions,
Exhibits  1-3  are  based  on  the  assumption  that  the  distribution
residential  radon concentration is the same for all  10 EPA Regions.
                                                      of
    Exhibit 1
    Exhibit 2
    Exhibit 3
The  minimum-cost  sample   allocation   when  only
national level precision constraint is considered.
                  the
The  minimum-cost  sample   allocation   when  both  the
national  level   and   the   regional  level  precision
constraints are considered.
The Exhibit 2  sample  allocation
size of 5,000 housing units.
expanded  to a sample
Exhibits  4-7  are  based  on  the  assumption  that  the  distribution  of
residential  radon concentration varies across the 10 EPA Regions.
    Exhibit 4
    Exhibit 5
    Exhibit 6
The  minimum-cost  sample   allocation   when  only  the
national level precision constraint is considered.

The  minimum-cost  sample   allocation   when  both  the
national  level   and   the   regional  level  precision
constraints are considered.
The Exhibit 5  sample  allocation
size of 5,000 housing units.
expanded  to a sample
                                   2-29

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                           Figure 1 (continued)

    Exhibit 7      The expected relative standard errors of estimates based
                   on the  Exhibit  6  sample  allocation,  if  in fact the
                   distribution of residential  radon were actually constant
                   across the 10 EPA Regions.
Exhibits  8-12  are  based  on  the  assumption  that  the  distribution of
residential radon concentration can vary  from one geographical  area to the
next within each of the 10 EPA Regions.
    Exhibit 8
    Exhibit 9
    Exhibit 10
    Exhibit 11
    Exhibit 12
The  minimum-cost  sample   allocation   when  only
national level  precision constraint is considered.
                  the
The  minimum-cost  sample   allocation   when  both  the
national  level    and   the   regional  level  precision
constraints are  considered.
The Exhibit 9  sample  allocation
size of 5,000 housing units.
expanded  to a sample
The expected relative standard errors of estimates based
on the Exhibit  10  sample  allocation,   1f  in fact the
distribution of residential  radon  were actually constant
across the different substrata.

The recommended design.    This  is the Exhibit 10 sample
allocation adjusted as follows:

•    The number of PSUs  in  a substratum is rounded to a
     whole number and set at a minimum of 2 PSUs.

•    The number of  SSUs  and  HUs  were also rounded to
     whole numbers and for interviewer work-load reasons
     were set  at  8  SSUs  per  PSU  and  an expected 5
     participating HUs per SSU.
Exhibits 13-15 present expected relative standard errors of estimates based
on the recommended sample design described in Exhibit 12.

    Exhibit 13     Expected relative standard  errors for domain estimates,
                   when the distribution of residential radon concentration
                   varies across substrata, as shown in Exhibit 12.
                                   2-30

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                           Figure 1 (continued)

    Exhibit 14     Expected relative standard  errors for domain estimates,
                   if in fact  the  distribution  of residential radon  were
                   actually constant across substrata.

    Exhibit 15     Examples  of   relative   standard   errors   for  domain
                   estimates, when  the  distribution  of residential radon
                   concentration  varies  across  substrata,  as  shown  in
                   Exhibit 12.
Exhibit 16-18 present expected relative  standard errors  of estimates  based
on the minimal design in Exhibit 9.
    Exhibit 16
    Exhibit 17
    Exhibit 18
The minimal practical   design.     This
sample allocation adjusted as follows:
is the Exhibit 9
•    The number of PSUs in  a substratum is rounded to a
     whole number and were set at a minimum of 2 PSUs.

•    The number of  SSUs  and  HUs  were also rounded to
     whole numbers and were set at 6 SSUs per PSU and an
     expected 5 participating HUs per SSU.

Expected of relative standard error for domain estimates
for  the  minimal  design,   when  the  distribution  of
residential radon concentration varies across substrata,
as shown in Exhibit 16.

Examples relative standard error of domain estimates for
the minimal design, when the distribution of residential
radon concentration varies across substrata, as shown in
Exhibit 16.
Figures 2-3 illustrate the power of detecting differences between subgroups
for the recommended design and the minimal  practical  design.
                                   2-31

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Exhibit 1.  The Minimum-Cost Sample Allocation When Only the National Level
Precision   Constraint  is   Considered.     (Calculations  Assume  that  the
Distribution of Residential Radon Concentration Is  the Same For All 10 EPA
Regions.)
   Assumed cost components

   CO ='  $810,928.00
   Cl =    $4,567.57
   C2 =      $432.78
   C3 =      $174.71

   Assumed intracluster corr coef. RHO1 =0.05
   Assumed intracluster corr coef. RHO2 = o.io
       Domain

    U. S. Total

    Region  1
    Region  2
    Region  3
    Region  4
    Region  5
    Region  6
    Region  7
    Region  8
    Region  9
    Region  10
        Prop>4

         0.070
     Prop>lo

     0.00500
      Desired
      Maximum
        RSE

       0.500
0.070
0.070
0.070
0.070
0.070
0.070
0.070
0.070
0.070
0.070
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
9.000
9.000
9.000
9.000
9.000
9.000
9.000
9.000
9.000
9.000
      Achieved
         RSE

        0.500

        0.563
        0V399
        0.400
        0.303
        0.298
        0.384
        0.577
        0.728
        0.350
        0.668
   Optimal sample allocation by EPA Region
   Region

      1
      2
      3
      4
      5
      6
      7
      8
      9
     10
 No. of
Cty's

   4.7
   9.3
   9.3
  16.2
  16.7
  10.1
   4.5
   2.8
  12.1
   3.3
NO. Of
SEGs

 21.0
 41.7
 41.5
 72.4
 74.7
 45.1
 19.9
 12.5
 54.3
 14.9
 No. of
 HUS

   98.9
  196.9
  195.7
  342.1
  352.8
  212.8
   94.1
   59.2
  256.4
   70.2
 Pop %
of HUs

   5.3
  10.5
  10.4
  18.2
  18.8
  11.3
   5.0
   3.1
  13.6
   3.7
 Samp %
of HUs

  5.3
 10.5
 10.4
 18.2
 18.8
 11.3
  5.0
  3.1
 13.6
  3.7
  Total
  88.9
398.0
1,879.2
 100.0
100.0
                                  2-32

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Exhibit  2.  The Minimum-cost Sample Allocation  When Both the National  Level
and the  Regional Level  Precision Constraints are  Considered.  (Calculations
Assume that the Distribution of Residential  Radon Concentration Is  the Same
for All  10 EPA Regions.)
 Assumed cost components

 CO =  $810,928.00
 Cl =    $4,567.57
 C2 =      $432.78
 C3 =      $174.71

 Assumed intracluster corr coef. RHO1
 Assumed intracluster corr coef. RHO2
     Domain

   U.  S.  Total

   Region  1
   Region  2
   Region  3
   Region  4
   Region  5
   Region  6
   Region  7
   Region  8
   Region  9
   Region 10
      Prop>4

       0.070

       0.070
       0.070
       0.070
       0.070
       0.070
       0.070
       0.070
       0.070
       0.070
       0.070
     Prop>10

     0.00500

     0.00500
     0.00500
     0.00500
     0.00500
     0.00500
     0.00500
     0.00500
     0.00500
     0.00500
     0.00500
0.05
0.10
Desired
Maximum
RSE
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500



Achieved
RSE
0.500
0.500
0.413
0.414
0.313
0.308
0.397
0.500
0.500
0.362
0.500
  Optimal sample allocation by EPA Region
 Region
     1
     2
     3
     4
     5
     6
     7
     8
     9
   10
 Total
No. of
Cty's
5.9
8.7
8.7
15.1
15.6
9.4
5.9
5.9
11.4
5.9
No. of
SEGs
26.6
39.0
38.8
67.8
69.9
42.2
26.6
26.6
50.8
26.6
No. of
HUs
125.5
184.3
183.2
320.1
330.2
199.1
125.5
125.5
240.0
125.5
Pop %
of HUs
5.3
10.5
10.4
18.2
18.8
11.3
5.0
3.1
13.6
3.7
Samp
of HUs
6.4
9.4
9.4
16.3
16.9
10.2
6.4
6.4
12.3
6.4
92.6
414.8
1,958.8
100.0
100.0
                                2-33

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Exhibit 3.  The Exhibit  2  Sample  Allocation  Expanded to a Sample Size of
5,000  Housing  Units.     (Calculations  Assume  that  the  Distribution of
Residential Radon Concentration Is the Same for All 10 EPA Regions.)
 Assumed  cost components

 CO  =   $810,928.00
 Cl  =     $4,567.57
 C2  =       $432.78
 C3  =       $174.71

 Assumed  intracluster corr coef. RHO1
 Assumed  intracluster corr coef. RHO2
     Domain

  U. S. Total

  Region  1
  Region  2
  Region  3
  Region  4
  Region  5
  Region  6
  Region  7
  Region  8
  Region  9
  Region 10
       Prop>4

        0.070

        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
       Prop>10

       0.00500

       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0:00500
0.05
0.10
Desired
Maximum
RSE
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500



Achieved
RSE
0.372
0.372
0.307
0.308
0.233
0.229
0.295
0.372
0.372
0.269
0.372
 Optimal sample  allocation by EPA Region
 Region

    1
    2
    3
    4
    5
    6
    7
    8
    9
   10
No. of
Cty's
8.0
11.8
11.7
20.4
21.1
12.7
8.0
8.0
15.3
8.0
No. Of
SEGs
64.0
94.1
93.5
163.4
168.6
101.7
64.0
64.0
122.5
64.0
No. of
HUs
320.2
470.5
467.6
817.2
842.8
508.3
320.2
320.2
612.6
320.2
Pop %
of HUs
5.3
10.5
10.4
18.2
18.8
11.3
5.0
3.1
13.6
3.7
Samp
of HUs
6.4
9.4
9.4
16.3
16.9
10.2
6.4
6.4
12.3
6.4
 Total
125.0
1,000.0
5,000.0
100.0
100.0
                                2-34

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Exhibit  4.  The Minimum-Cost Sample Allocation  When Only the National  Level
Precision  Constraint  is  Considered.   (Calculations   Assume  that the
Distribution of Residential Radon  Concentration   Varies  across the  10 EPA
Regions.)
 Assumed cost components

 CO =  $810,928.00
 Cl =    $4,567.57
 C2 =      $432.78
 C3 =      $174.71

 Assumed intracluster corr coef.  RHO1
 Assumed intracluster corr coef.  RHO2
     Domain

   U. S. Total

   Region  1
   Region  2
   Region  3
   Region  4
   Region  5
   Region  6
   Region  7
   Region  8
   Region  9
   Region 10
       Prop>4

        0.070

        0.070
        0.130
        0.130
        0.010
        0.130
        0.010
        0.070
        0.130
        0.010
        0.070
     Prop>10

     0.00499

     0.00200
     0.01000
     0.01000
     0.00100
     0.01000
     0.00100
     0.00200
     0.01000
     0.00100
     0.00200
0.05
0.10
Desired
Maximum
RSE
0.500
9.000
9.000
9.000
9.000
9.000
9.000
9.000
9.000
9.000
9.000



Achieved
RSE
0.500
0.751
0.253
0.254
1.310
0.189
1.661
0.770
0.462
1.513
0.891
  Optimal sample allocation by EPA Region
  Region

     1
     2
     3
     4
     5
     6
     7
     8
     9
    10
No. of
Cty's
2.6
11.7
11.6
6.4
20.9
4.0
2.5
3.5
4.8
1.9
No. of
SEGS
11.8
52.3
52.0
28.8
93.6
17.9
11.2
15.7
21.6
8.4
No. of
HUs
55.7
246.8
245.3
136.2
442.1
84.7
53.0
74.2
102.1
39.5
Pop %
Of HUs
5.3
10.5
10.4
18.2
18.8
11.3
5.0
3.1
13.6
3.7
Samp
of HUs
3.8
16.7
16.6
9.2
29.9
5.7
3.6
5.0
6.9
2.7
  Total
70.0
313.4
1,479.5
100.0
100.0
                                2-35

-------
Exhibit 5.   The Minimum-Cost  Sample Allocation When Both the National  Level
and the Regional Level Precision Constraints Are Considered.  (Calculations
Assume that   the  Distribution  of  Residential   Radon Concentration  Varies
across the  10 EPA Regions.)
Assumed cost components

CO =  $810,928.00
Cl =    $4,567.57
C2 =      $432.78
C3 =      $174.71

Assumed intracluster corr  coef.  RHO1
Assumed intracluster corr  coef.  RHO2
    Domain

  U. S. Total
  Region  1
  Region  2
  Region  3
  Region  4
  Region  5
  Region  6
  Region  7
  Region  8
  Region  9
  Region 10
      Prop>4

       0.070

       0.070
       0.130
       0.130
       0.010
       0.130
       0.010
       0.070
       0.130
       0.010
       0.070
     Prop>10

     0.00499

     0.00200
     0.01000
     0.01000
     0.00100
     0.01000
     0.00100
     0.00200
     0.01000
     0.00100
     0.00200
0.05
0.10
Desired
Maximum
RSE
0.500
0.500
0.500
0.500
2.000
0.500
2.000
0.500
0.500
2.000
0.500



Achieved
RSE
0.500
0.500
0.261
0.262
1.353
0.195
1.715
0.500
0.477
1.563
0.500
 Optimal sample allocation  by  EPA Region
 Region

    1
    2
    3
    4
    5
    6
    7
    8
    9
   10
No. of
Cty's
5.9
10.9
10.9
6.0
19.6
3.8
5.9
3.3
4.5
5.9
No. of
SEGs
26.6
49.0
48.7
27.0
87.8
16.8
26.6
14.7
20.3
26.6
No. of
HUs
125.5
231.4
230.0
127.7
414.5
79.4
125.5
69.5
95.7
125.5
Pop %
of HUs
5.3
10.5
10.4
18.2
18.8
11.3
5.0
3.1
13.6
3.7
Samp
of HUs
7.7
14.2
14.2
7.9
25.5
4.9
7.7
4.3
5.9
7.7
 Total
76.8
344.1
1,624.7
100.0
100.0
                                  2-36

-------
Exhibit  6.  The Exhibit 5  Sample  Allocation   Expanded to a Sample Size of
5,000 Housing  Units.     (Calculations  Assume that  the  Distribution of
Residential Radon Concentration Varies across the 10 EPA Regions.)
Assumed cost components

CO  =   $810,928.00
Cl  =     $4,567.57
C2  =       $432.78
C3  =       $174.71

Assumed intracluster corr coef. RHO1
Assumed intracluster corr coef. RHO2
    Domain

  U. S.  Total
  Region   1
  Region   2
  Region   3
  Region   4
  Region  .5
  Region   6
  Region   7
  Region   8
  Region   9
  Region  10
        Prop>4

         0.070

         0.070
         0.130
         0.130
         0.010
         0.130
         0.010
         0.070
         0.130
         0.010
         0.070
       Prop>10

       0.00499

       0.00200
       0.01000
       0.01000
       o.ooioo
       0.01000
       0.00100
       0.00200
       0.01000
       0.00100
       0.00200
0.05
0.10
Desired
Maximum
RSE
0.500
0.500
0.500
0.500
2.000
0.500
2.000
0.500
0.500
2.000



Achieved
RSE
0.339
0.339
0.177
0.177
0.916
0.132
1.161
0.339
0.323
1.058
        0.500
       0.339
 Optimal  sample  allocation by EPA Region
 Region

    1
    2
    3
    4
    5
    6
    7
    8
    9
   10
 Total
No. of
Cty's
9.7
17.8
17.7
9.8
31.9
6.1
9.7
5.4
7.4
9.7
No. of
SEGs
77.2
142.4
141.6
78.6
255.1
48.9
77.2
42.8
58.9
77.2
No. of
HUs
386.1
712.2
707.8
393.0
1,275.7
244.4
386.1
214.0
294.6
386.1
Pop %
Of HUs
5.3
10.5
10.4
18.2
18.8
11.3
5.0
3.1
13.6
3.7
Samp
of HUs
7.7
14.2
14.2
7.9
25.5
4.9
7.7
4.3
5.9
7.7
125.0
1,000.0
5,000.0
100.0
100.0
                                 2-37

-------
Exhibit 7.    The  Expected  Relative  Standard  Errors  of Estimates Based
on the  Exhibit  6  Sample  Allocation,   If   in  fact  the  Distribution of
Residential Radon Were Actually Constant  across the 10 EPA Regions.
 Assumed cost components

 CO =  $810,928.00
 Cl =    $4,567.57
 C2 =      $432.78
 C3 =      $174.71

 Assumed intracluster corr coef. RH01
 Assumed intracluster corr coef. RHO2
     Domain

   U.  S.  Total

   Region  1
   Region  2
   Region  3
   Region  4
   Region  5
   Region  6
   Region  7
   Region  8
   Region  9
   Region 10
       Prop>4

        0.070

        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
        0.070
       Prop>lO

       0.00500

       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
       0.00500
0.05
0.10
Desired
Maximum
RSE
0.500
0.500
0.500
0.500
2.000
0.500
2.000
0.500
0.500
2.000
0.500



Achieved
RSE
0.431
0.339
0.249
0.250
0.336
0.186
0.425
0.339
0.455
0.388
0.339
  Optimal  sample allocation by EPA Region
  Region

     1
     2
     3
     4
     5
     6
     7
     8
     9
    10
No. of
Cty's
9.7
17.8
17.7
9.8
31.9
6.1
9.7
5.4
7.4
9.7
No. of
SEGs
77.2
142.4
141.6
78.6
255.1
48.9
77.2
42.8
58.9
77.2
No. of
HUs
386.1
712.2
707.8
393.0
1,275.7
244.4
386.1
214.0
294.6
386.1
Pop %
of HUs
5.3
10.5
10.4
18.2
18.8
11.3
5.0
3.1
13.6
3.7
Samp
of HUs
7.7
14.2
14.2
7.9
25.5
4.9
7.7
4.3
5.9
7.7
 Total
125.0
1,000.0
5,000.0
100.0
100.0
                                 2-38

-------
Exiribit 8   Classification of States  into  Substrata within Strata  Defined
                       Along the Lines  of  the  EPA Regions
 EPA Region  Substratum
                    State
Region 1:
Region 2:

Region 3:
Region 4:
High:
Medium:
High:
Medium:
Low:
High:
Low:
High:
ME, NH, VT.
MA, CT, RI.
northern NJ.
NY.
southern NJ.
PA, western MD, WV, western VA.
DE, central and eastern VA.
western NC, western SC, northern GA, northern AL
 Region 5:


 Region 6:



 Region 7:
             Medium:
             Low:
High:
Low:

High:
Medium:
Low:

High:
Medium:
 Region 8:    High:
eastern TN.
KY,  western  and central  TN.
central and  eastern NC,  eastern SC,  southern GA,
southern AL,  MS,  FL.

MN,  WI, IL,  IN, OH.
MI.
OK, western and central TX, northern AR.
LA, southern AR,  southeastern TX.

NE, IA.
KS, MO.

MT, WY, UT, CO, ND,  SD.
Region 9:
Region 10:
High:
Low:
High:
Low:
NV.
CA, AZ, HI.
AK, ID.
WA, OR.
 The above classifications  were made  using  the  following data and  procedures:

        •     Using data  from the first  two  years  of State Radon  Surveys.
        •     Using the  results  of ATD testing by  Landauer and Terradex,
             presented  at the Radon Symposium in  Denver in October,  1988.
        •     Grouping states with similar geographic location and  terrain
             into  the same  stratum as contiguous  areas.
        •     The percentage of  homes  with a basement was not  taken into
             consideration.   This information is  available for the State
             Radon Survey samples, but  was  not  provided  for the  Landauer-
             Terradex homes.  The vast  majority of  homes in the  northern part
             of the nation  do have basements, but the proportion of homes
             with  basements  is  quite  small  in some  southern states.
                            2-39

-------
Exhibit 9.   The Minimum-Cost Sample Allocation When Both the National Level
and the Regional Level Precision Constraints are Considered.  (Calculations
Assume that  the Distribution  of  Residential  Radon Concentration Can Vary
from One Geographical Area to the Next within Each of the 10 EPA  Regions.)
 Assumed  cost components

 CO =   $810,928.00
 Cl =     $4,567.57
 C2 =       $432.78
 C3 =       $174.71

 Assumed  intracluster corr coef.  RH01 = 0.05
 Assumed  intracluster corr coef.  RHO2 = 0.10
     Domain

   U. S. Total
    Prop>4

     0.070
  Prop>10

  0.00500
     Desired
     Maximum
       RSE

      0.500
     Achieved
       RSE

      0.500
   Region   1
   Region   2
   Region   3
   Region   4
   Region   5
   Region   6
   Region   7
   Region   8
   Region   9
   Region 10
0.085
0.081
0.106
0.042
0.113
0.044
0.095
0.138
0.014
0.031
0.00471
0.00459
0.00834
0.00298
0.00887
0.00244
0.00592
0.01080
0.00134
0.00260
                          0.500
                          0.500
                          0.500
                          1.000
                          0.500
                          1.000
                          0.500
                          0.500
                          2.000
                          1.000
                           0.500
                           0.407
                           0.286
                           0.440
                           0.204
                           0.588
                           0.500
                           0.441
                           1.105
                           1.000
  Optimal sample  allocation  by EPA Region
  EPA
 Region

   1
   2
   3
   4
   5
   6
   7
   8
   9
  10
No. of
Cty's

  4.7
  7.4
  9.8
  9.5
 18.5
  5.7
  4.2
  3.6
  5.1
  2.3
NO. Of
 SEGs

 21.2
 33.0
 43.9
 42.7
 82.7
 25.7
 18.8
 16.1
 23.0
 10.2
 No. Of
  HUS
   99.9
  155.8
  207.1
  201.7
  390.4
  121.4
   88.6
   75.9
  108.4
   48.3
Pop %
of HUs

  5.3
 10.5
 10.4
 18.2
 18.8
 11.3
  5.0
  3.1
 13.6
  3.7
 Samp %
 of HUs

  6.7
 10.4
 13.8
 13.5
   .1
   ,1
26.
 8.
 5.9
 5.1
 7.2
 3.2
 Total
 70.8
317.2
1,497.6
100.0
100.0
                                 2-40

-------
Exhibit  9  (Continued)
       Sample allocation by stratum
EPA
Region
1
1
2
2
2
3
3
4
4
4
5
5
6
6
6
7
7
Radon
class
HIGH
MED
HIGH
MED
LOW
HIGH
LOW
HIGH
MED
LOW
HIGH
LOW
HIGH
MED
LOW
HIGH
MED
No. of
Cty's
1.5
3.2
2.7
4.4
0.3
8.9
0.9
3.5
1.9
4.2
17.2
1.3
0.7
3.1
1.9
2.2
2.0
No. of
SEGs
6.8
14.3
11.9
19.9
1.2
39.8
4.1
15.5
8.4
18.8
76.9
5.8
3.1
14.0
8.6
9.8
8.9
No. of
HUs
32.2
67.7
56.1
94.0
5.7
187.9
19.3
73.4
39.6
88.8
363.2
27.2
14.6
66.1
40.8
46.4
42.2
Pop %
of HUs
1.2
4.1
2.3
7.4
0.8
7.8
2.6
3.0
3.1
12.1
15.1
3.7
0.6
5.2
5.5
1.9
3.1
Samp %
of HUs
2.2
4.5
3.7
6.3
0.4
12.5
1.3
4.9
2.6
5.9
24.3
1.8
1.0
4.4
2.7
3.1
2.8
Samp
Rate
1.86
1.10
1.61
0.85
0.49
1.61
0.49
1.61
0.85
0.49
1.61
0.49
1.61
0.85
0.49
1.65
0.90
Rel . Samp
Rate
3.79
2.24
3.27
1.73
1.00
3.2-7
1.00
3.27
1.73
1.00
3.27
1.00
3.27
1.73
1.00
3.36
1.83
       HIGH
 3.6
 16.1
75.9
3.1
5.1   1.61
3.27
9
9
10
10
HIGH
LOW
HIGH
LOW
0.5
4.6
0.9
1.4
2.4
20.6
4.0
6.2
11.3
97.0
19.0
29.2
0.5
13.2
0.6
3.1
0.8
6.5
1.3
2.0
1.61
0.49
2.09
0.62
3.27
1.00
4.24
1.27
Total
70.8
317.2   1,497.6   100.0
                100.0
                                  2-41

-------
Exhibit  10. The Exhibit 9  Sample  Allocation  Expanded to a Sample Size of
5,000 Housing  Units.     (Calculations  Assume  that  the Distribution of
Residential Radon Concentration Can Vary  from One Geographical Area to the
Next within Each of the 10 EPA Regions.)
 Assumed cost components

 CO  =   $810,928.00
 Cl  =     $4,567.57
 C2  =       $432.78
 C3  =       $174.71

 Assumed intracluster corr coef. RH01 = 0.05
 Assumed intracluster corr coef. RHO2 = 0.10
     Domain

  U.  S.  Total

  Region  1
  Region  2
  Region  3
  Region  4
  Region  5
  Region  6
  Region  7
  Region  8
  Region  9
  Region 10
    Prop>4

     0.070
    Prop>10

    0.00500
0.085
0.081
0.106
0.042
0.113
0.044
0.095
0.138
0.014
0.031
0.00471
0.00459
0.00834
0.00298
0.00887
0.00244
0.00592
0.01080
0.00134
0.00260
     Desired
     Maximum
       RSE

      0.500

      0.500
      0.500
      0.500
      1.000
      0.500
      1.000
      0.500
      0.500
      2.000
      1.000
     Achieved
       RSE

      0.325

      0.325
      0.265
      0.186
      0.286
      0.133
      0.382
      0.325
      0.287
      0.718
      0.650
 Optimal  sample allocation by EPA Region
 EPA
Region

  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
No. of
Cty's

  8.3
 13.0
 17.3
 16.8
 32.6
 10.1
  7.4
  6.3
  9.0
  4.0
  No. of
   SEGs
 No. of
  HUs
66.7
104.0
138.3
134.7
260.7
81.1
59.2
50.7
72.4
32.2
333.7
520.2
691.6
673.5
1,303.5
405.4
295.8
253.3
361.9
161.1
Pop %
of HUs

  5.3
 10.5
 10.4
 18.2
 18.8
 11.3
  5.0
  3.1
 13.6
  3.7
 Samp %
 of HUs

  6.7
 10.4
 13.8
 13.5
 26.1
  8.1
  5.9
  5.1
  7.2
  3.2
Total
125.0
1,000.0
5,000.0
100.0
100.0
                                 2-42

-------
Exhibit  10  (Continued)
       Sample  allocation by stratum
EPA
Region
1
1
2
2
2
3
3
4
4
4
5
5
6
6
6
7
7
Radon
class
HIGH
MED
HIGH
MED
LOW
HIGH
LOW
HIGH
MED
LOW
HIGH
LOW
HIGH
MED
LOW
HIGH
MED
No. of
Cty's
2.7
5.7
4.7
7.8
0.5
15.7
1.6
6.1
3.3
7.4
30.3
2.3
1.2
5.5
3.4
3.9
3.5
No. of
SEGs
21.5
45.2
37.5
62.8
3.8
125.4
12.9
49.0
26.4
59.3
242.5
18.2
9.8
44.1
27.2
31.0
28.2
No. of
HUs
107.6
226.1
187.4
313.8
19.1
627.2
64.4
245.0
132.1
296.4
1,212.6
90.9
48.8
220.5
136.1
154.9
140.9
Pop %
of HUs
1.2
4.1
2.3
7.4
0.8
7.8
2.6
3.0
3.1
12.1
15.1
3.7
0.6
5.2
5.5
1.9
3.1
Samp %
of HUs
2.2
4.5
3.7
6.3
0.4
12.5
1.3
4.9
2.6
5.9
24.3
1.8
1.0
4.4
2.7
3.1
2.8
Samp
Rate
1.86
1.10
1.61
0.85
0.49
1.61
0.49
1.61
0.85
0.49
1.61
0.49
1.61
0.85
0.49
1.65
0.90
Rel. Samp
Rate
3.79
2.24
3.27
1.73
1.00
3.27
1.00
3.27
1.73
1.00
3.27
1.00
3.27
1.73
1.00
3.36
1.83
      HIGH
  6.3
50.7
253.3
3.1
5.1
1.61
3.27
9
9
10
10
HIGH
LOW
HIGH
LOW
0.9
8.1
1.6
2.4
7.6
64.8
12.7
19.5
37.9
324.0
63.5
97.5
0.5
13.2
0.6
3.1
0.8
6.5
1.3
2.0
1.61
0.49
2.09
0.62
3.27
1.00
4.24
1.27
Total
125.0   1,000.0   5,000.0    100.0
                           100.0
                                2-43

-------
Exhibit 11. The Expected Relative Standard Errors of Estimates Based on the
Exhibit 10 Sample Allocation,  If  in  fact the Distribution of Residential
Radon Were Actually  Constant across the Different Substrata.
 Assumed cost components

 CO =  $810,928.00
 Cl =    $4,567.57
 C2 =      $432.78
 C3 =      $174.71

 Assumed intracluster corr  coef.  RHO1 = 0.05
 Assumed intracluster corr  coef.  RHO2 = 0.10
     Domain

   U. S. Total

   Region  1
   Region  2
   Region  3
   Region  4
   Region  5
   Region  6
   Region  7
   Region  8
   Region  9
   Region 10
    Prop>4

     0.070
    Prop>10

    0.00500
0.070
0.070
0.070
0.070
0.070
0.070
0.070
0.070
0.070
0.070
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
0.00500
     Desired
     Maximum
       RSE

      0.500

      0.500
      0.500
      0.500
      1.000
      0.500
      1.000
      0.500
      0.500
      2.000
      1.000
     Achieved
       RSE

      0.415

      0.373
      0.307
      0.288
      0.283
      0.206
      0.350
      0.404
      0.418
      0.359
      0.580
  Optimal sample allocation  by  EPA Region
  EPA
 Region

   1
   2
   3
   4
   5
   6
   7
   8
   9
  10
No. of
Cty's

  8.3
 13.0
 17.3
 16.8
 32.6
 10.1
  7.4
  6.3
  9.0
  4.0
  No. of
   SEGs
 No. of
  HUs
66.7
104.0
138.3
134.7
260.7
81.1
59.2
50.7
72.4
32.2
333.7
520.2
691.6
673.5
1,303.5
405.4
295.8
253.3
361.9
161.1
Pop %
of HUs

  5.3
 10.5
 10.4
 18.2
 18.8
 11.3
  5.0
  3.1
 13.6
  3.7
 Samp %
 of HUs

  6.7
 10.4
 13.8
 13.5
                                 26.1
                                  8.1
                                  5.9
                                  5.1
                                  7.2
                                  3.2
 Total
125.0
1,000.0
5,000.0
100.0
100.0
                                2-44

-------
Exhibit 11 (Continued)
       Sample allocation by stratum
EPA
Region
1
1
2
2
2
3
3
4
4
4
5
5
6
6
6
7
7
Radon
class
HIGH
MED
HIGH
MED
LOW
HIGH
LOW
HIGH
MED
LOW
HIGH
LOW
HIGH
MED
LOW
HIGH
MED
No. of
Cty's
2.7
5.7
4.7
7.8
0.5
15.7
1.6
6.1
3.3
7.4
30.3
2.3
1.2
5.5
3.4
3.9
3.5
No. of
SEGs
21.5
45.2
37.5
62.8
3.8
125.4
12.9
49.0
26.4
59.3
242.5
18.2
9.8
44.1
27.2
31.0
28.2
No. of
HUs
107.6
226.1
187.4
313.8
19.1
627.2
64.4
245.0
132.1
296.4
1,212.6
90.9
48.8
220.5
136.1
154.9
140.9
Pop %
of HUs
1.2
4.1
2.3
7.4
0.8
7.8
2.6
3.0
3.1
12.1
15.1
3.7
0.6
5.2
5.5
1.9
3.1
Samp %
of HUs
2.2
4.5
3.7
6.3
0.4
12.5
1.3
4.9
2.6
5.9
24.3
1.8
1.0
4.4
2.7
3.1
2.8
Samp
Rate
1.86
1.10
1.61
0.85
0.49
1.61
0.49
1.61
0.85
0.49
1.61
0.49
1.61
0.85
0.49
1.65
0.90
Rel . Samp
Rate
3.79
2.24
3.27
1.73
1.00
3.27
1.00
3.27
1.73
1.00
3.27
1.00
3.27
1.73
1.00
3.36
1.83
       HIGH
  6.3
50.7
253.3
3.1
5.1
1.61
3.27
9
9
10
10
HIGH
LOW
HIGH
LOW
0.9
8.1
1.6
2.4
7.6
64.8
12.7
19.5
37.9
324.0
63.5
97.5
0.5
13.2
0.6
3.1
0.8
6.5
1.3
2.0
1.61
0.49
2.09
0.62
3.27
1.00
4.24
1.27
Total
125.0   1,000.0   5,000.0    100.0
                           100.0
                                  2-45

-------
Exhibit 12.  The Recommended Design.
Assumed cost components

CO =   $810,928.00
Cl =    $4,567.57
C2 =       $432.78
C3 =       $174.71

Assumed intracluster corr coef. RH01  =  0.05
Assumed intracluster corr coef. RHO2  =  0.10
    Domain

 U.S. Total

 Region  1
 Region  2
 Region  3
 Region  4
 Region  5
 Region  6
 Region  7
 Region  8
 Region  9
 Region 10
    Prop>4

     0.070
    Prop>10

    0.00500
   Desired
   Maximum
     RSE

    0.500
0.085
0.081
0.106
0.042
0.113
0.044
0.095
0.138
0.014
0.031
0.00471
0.00459
0.00834
0.00298
0.00887
0.00244
0.00592
0.01080
0.00134
0.00260
0.500
0.500
0.500
1.000
0.500
1.000
0.500
0.500
2.000
1.000
  Achieved
    RSE

   0.329

   0.337
   0.273
   0.188
   0.281
   0.134
   0.395
   0.340
   0.294
   0.700
   0.664
 Optimal Sample Allocation by EPA Region
 EPA
Region

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
Total
No. of
Cty's

  8.0
 14.0
 17.0
 17.0
 32.0
 10.0
  7.0
  6.0
 10.0
  4.0
  No. of
   SEGs
 No. of
  HUs
125.0
64.0
112.0
136.0
136.0
256.0
80.0
56.0
48.0
80.0
32.0
320.0
560.0
680.0
680.0
1,280.0
400.0
280.0
240.0
400.0
160.0
1,000.0
5,000.0
                                2-46
Pop %
of HUs

  5.3
 10.5
 10.4
 18.2
 18.8
 11.3
  5.0
  3.1
 13.6
  3.7
100.0
 Samp %
 of HUs

  6.4
 11.2
 13.6
 13.6
 25.6
  8.0
  5.6
  4.8
  8.0
  3.2
100.0

-------
 Exhibit 12 (Continued)
       Optimal Sample Allocation by Stratum
EPA
Region
1
1
2
2
2
3
3
4
4
4
5
5
6
6
6
7
7
Radon
class
HIGH
MED
HIGH
MED
LOW
HIGH
LOW
HIGH
MED
LOW
HIGH
LOW
HIGH
MED
LOW
HIGH
MED
No. of
Cty's
3.0
5.0
5.0
7.0
2.0
15.0
2.0
6.0
4.0
7.0
30.0
2.0
2.0
5.0
3.0
4.0
3.0
No. Of
SEGs
24.0
40.0
40.0
56.0
16.0
120.0
16.0
48.0
32.0
56.0
240.0
16.0
16.0
40.0
24.0
32.0
24.0
No. of
HUs
120.0
200.0
200.0
280.0
80.0
600.0
80.0
240.0
160.0
280.0
1,200.0
80.0
80.0
200.0
120.0
160.0
120.0
Pop %
of HUs
1.2
4.1
2.3
7.4
0.8
7.8
2.6
3.0
3.1
12.1
15.1
3.7
0.6
5.2
5.5
1.9
3.1
Samp %
of HUs
2.4
4.0
4.0
5.6
1.6
12.0
1.6
4.8
3.2
5.6
24.0
1.6
1.6
4.0
2.4
3.2
2.4
Samp
Rate
2.079
0.973
1.717
0.759
2.060
1.539
0.611
1.576
1.031
0.465
1.592
0.433
2.636
0.772
0.434
1.709
0.765
Rel . Samp
Rate
4.801
2.247
3.965
1.754
4.758
3.553
1.412
3.639
2.380
1.073
3.676
1.000
6.086
1.782
1.002
3.947
1.767
      HIGH
Total
  6.0
48.0
240.0
3.1
4.8
125.0   1,000.0   5,000.0   100.0
                         100.0
  No of Expected HUs with radon level > 4 =     491.6
  No of Expected HUs with radon level > 10 =       36.3
1.524
3.519
9
9
10
10
HIGH
LOW
HIGH
LOW
2.0
8.0
2.0
2.0
16.0
64.0
16.0
16.0
80.0
320.0
80.0
80.0
0.5
13.2
0.6
3.1
1.6
6.4
1.6
1.6
3.397
0.486
2.628
0.512
7.844
1.122
6.069
1.182
                                2-47

-------
Exhibit 13  Expected Precision of Domain Estimates of the Percent of Homes
      with Radon Concentration Above 4pCi/L and Above lOpCi/L for the
      Recommended Design  if  the Residential Radon Levels Vary Across
                      Strata, as Shown in Exhibit 12

Row
No.

1
2

Percent
Domai n
(1)
100
50

Percent
of PSUs
(2)
100
100

Percent
Segments
(3)
100
100

Percent HU's
within Segment
(4)
100
50
Expected Precision
(RSE) for Percent
>4pCi/L >10pCi/L
(5) (6)
0.09 0.33
0.10 0.37
                               50
                                     100
                                      0.10
                                      0.40
  4
  5
25
100
100
 25
 25
100
0.11
0.13
0.44
0.49
  6
  7
10
100
 50
 10
 20
100
0.16
0.18
0.61
0.70
8
9
5
100
25
5
20
100
0.21
0.25
0.83
0.96
    For example, if we estimate that  0.5 percent of all  homes  in the  nation
have radon concentrations  above  10   pCi/L,   the  "Percent  Domain"  is  100
because the estimate pertains to  100  percent of  the  survey eligible homes
in the nation.  Each of  the  valuesforcolumns2,  3,  and  4 is  also  100
because our estimate would use  the   entire  sample,   all  sample HUs  in  all
sample SSUs in all  sample  PSUs.     We would therefore  read the  relative
standard error for our estimate from   row   1   column 6,  and find that it is
0.33.  Not that this is the  same  relative standard error  that was  provided
in Exhibit 12 under the "Achieved  RSE" for the "U.S. Total" domain.

    Let us consider now estimates  describing a subgroup in the population.
Suppose that subgroup A consists of   half   of  the homes in the nation,  and
that these homes are  distributed  uniformly   over the entire nation.   We
would use row 2 to  determine  the  relative  standard  error of our  estimate
because we would expect our subgroup  to be represented in  all  of the  sample
PSUs, all of the sample SSUs,  and  half  of   the  sample HUs  in each  sample
SSU.  If we consider subgroup B that   also consists of half of the  homes in
the nation, but homes in  only  half  of  the  SSUs,   we would use  row 3 to
determine the relative standard error of the  estimate.
                                  2-48

-------
Exhibit 14  Expected Precision of Domain Estimates of the Percent of Homes
      with Radon Concentration Above 4pCi/L and Above lOpCi/L for the
          Recommended Design if the Radon Distribution is Uniform
                              Across Strata
Row
No.
Percent
Domain
 (1)
Percent
of PSUs
  (2)
Percent
Segments
  (3)
 Percent HU's
within Segment
      (4)
Expected Precision
(RSE) for Percent
 >4pCi/L  >10pCi/L
    (51(61
  2
  3
 100

  50
  100

  100
  100

  100
   50
      100

       50
      100
  0.11

   0.12
   0.13
0.42

0.47
0.50
  4
  5
  25
  100
  100
   25
       25
      100
   0.15
   0.16
0.56
0.63
  6
  7
  10
  100
   50
   10
       20
      100
   0.20
   0.23
0.79
0.91
8
9
5
100
25
5
20
100
0.27
0.32
1.06
1.24
    For example, if we estimate that 0.5 percent of all homes in the nation
have radon concentrations  above  10  pC1/L,  the  "Percent  Domain" is 100
because the estimate pertains to  100  percent of the survey eligible homes
in the nation.  Each of  the  valuesforcolumns2, 3,  and 4 is also 100
because our estimate would use  the  entire  sample,   all  sample HUs in all
sample SSUs in all  sample  PSUs.    We  would  therefore read the relative
standard error for our estimate from  row  1  column  6, and find that it 1s
0.42.  Note that this is  larger  than the relative standard error that was
shown in row 1 column 6 of  Exhibit  13 because Exhibit 14 assumes that the
radon levels do not  vary  from  one  geographic  area  to  the next, as we
assumed in developing the  optimal  sample  design.   Exhibit 14 provides a
"worst case" scenario, showing  the  relative standard errors for estimates
if the assumptions we made about radon levels differing from one geographic
area to the next were not correct and that instead residential radon levels
were the same all over the nation.
    The procedures for using rows 2-9  of
as was described in Exhibit 13.
                                     Exhibit  14  follow the same logic
                                  2-49

-------
    Exhibit 15  Some Additional  Domain  Estimates Where  a  Maximum Relative
         Standard Error of 0.50  is  Desired  for  the  Percent  of Homes
            with Radon Levels above 4 pCi/L (Recommended  Design)
    Domain
  Description
                             Likely  Distribution'
Percent of
   total
population
Percent
of PSUs
Percent
of SSUs
Percent of
HUs within
 a segment
 Expected
Precision
for percent
 > 4 pCi/L
Single family
   homes             65
Residences in
   multi-unit
   structures

Homes with 1+
   smokers

Homes with 0
   smokers
Homes with 1+
    children
   under age 12      15

Homes without
    children
   under age 12      85

Homes with 1+
   children
   under age 12
   and 1+
   smokers            5

Average radon
   level for
   homes with
    basements        40

Average radon
    level for
   homes without
   basements         60
              100
              100
              100
              100
               80
             80
             50
            100
             25
             60
              80
              30
              85
              20
              70
              100
             80
              75
                 0.09
35
25
75
100
100
100
60
100
100
60
25
25
0.10
0.11
0.09
                 0.15
                 0.09
                 0.21
                 0.10
                 0.10
3 Footnote appears on following page.
                                   2-50

-------
Exhibit 15 (Continued)
 The  "Likely Distribution"  information provided  in  Exhibit  15 1s based on  the
 most recent data we could  find plus some educated guessing.  For example,  the
 1988 Statistical Abstract  provides an estimate  that 1n 1983 67 percent of  the
 housing units in the nation  were  in  one  unit structures.  Because we were
 providing only very rough  "estimates,"  we  rounded the number to 65 percent.
 It seemed reasonable to  expect that there  will be single family homes in  all
 or virtually all PSUs, so  we  listed  100  as   the percent of PSUs that would
 contain single family homes.    Because  neighborhoods  tend  to be somewhat
 homogeneous on a characteristic  such  as  single  family homes, we "guessed"
 that about 80 percent of the SSUs would  have one or more such homes and that
 on the  average about 80  percent of the homes in these SSUs would be in single
 family  structures.   This type of reasoning provided some rough guidelines  for
 us to use to determine the approximate relative standard errors that we would
 expect  for estimates of  the  percentage  of  homes with radon levels greater
 than 4pCi/L.  The precision figures listed 1n the far right column of Exhibit
 15 were obtained a)  assuming  that  the "likely distribution" information  was
 correct,  and b)  using the  values in Exhibit 13  and interpolating.

                                  2-51

-------
Exhibit 16.  Minimal Practical  Design.  (Based on Allocation in Exhibit  9)
 Assumed cost components

 CO =  $810,928.00
 Cl =    $4,567.57
 C2 =   *  $497.78
 C3 =      $174.71

 Assumed intracluster corr coef. RH01 = 0.05
 Assumed intracluster corr coef. RHO2 = 0.10
     Domain

  U.S. Total

  Region  1
  Region  2
  Region  3
  Region  4
  Region  5
  Region  6
  Region  7
  Region  8
  Region  9
  Region 10
                 Prop>4

                  0.070
            Prop>10

            0.00500
   Desired
   Maximum
     RSE

    0.500
0.085
0.075
0.108
0.044
0.112
0.048
0.095
0.137
0.014
0.031
0.00468
0.00417
0.00850
0.00322
0.00877
0.00256
0.00587
0.01068
0.00133
0.00258
0.500
0.500
0.500
i.ooo
0.500
1.000
0.500
0.500
2.000
1.000
  Achieved
    RSE

   0.490

   0.460
   0.409
   0.289
   0.403
   0.199
   0.636
    ,469
    ,385
    .198
                                                0.
                                                0.
                                                1.
                                                0.710
  Optimal Sample Allocation by EPA Region
  EPA
 Region

  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
             No. of
             cty's

               5.0
               8.0
               9.0
               9.0
              17.0
               6.0
               4.0
               4.0
               5.0
               4.0
          No. of
           SEGs

           30.0
           48.0
           54.0
           54.0
          102.0
           36.0
           24.0
           24.0
           30.0
           24.0
 No. of
  HUs

  150.0
  240.0
  270.0
  2'70.0
  510.0
  180.0
  120.0
  120.0
  150.0
  120.0
Pop %
of HUs

  5.3
 10.5
 10.4
 18.2
 18.8
 11.3
  5.0
  3.1
 13.6
  3.7
 Samp %
 of HUs

  7.0
 11.3
 12.7
 12.7
 23.9
  8.5
  5.6
  5.6
  7.0
  5.6
Total
71.0
                         426.0
2,130.0
100.0
100.0
                                 2-52

-------
Exhibit 17  Expected Precision of Domain Estimates of the Percent of Homes
      with Radon Concentrations above 4 pCi/L and above 10 pCi/L for
      the Minimal  Design If the Residential  Radon Levels Vary across
                      Strata,  as Shown in Exhibit 16
Row   Percent      Percent   Percent    Percent HU's
No.   Domain       Of PSU's  Segments  within segments
        (1)          (2)       (3)           (4)
                                                   Expected Precision
                                                   (RSE)  for Percent
                                                   >4pCi/L
                                                     (5)
                                               >10pCi/L
                                                  (6)
 2
 3

 4
 5

 6
 7

 8
 9
100

 50


 25


 10


  5
100

100


100


100


100
100

100
 50

100
 25

 50
 10

 25
  5
100

 50
100

 25
100

 20
100

 20
100
0.13

0.14
0.15

0.18
0.20

0.25
0.29

0.34
0.40
0.49

0.56
0.59

0.68
0.76

0.97
1.12

1.32
1.54
                                    2-53

-------
    Exhibit 18  Some Additional  Domain  Estimates  Where a Maximum Relative
         Standard Error of 0.50  Is  Desired  for the Percent of Homes
              with Radon Levels  above 4 pCi/L  (Minimal  Design)
    Domain
  Description
                             Likely Distribution
Percent of
   total
population
Percent
of PSUs
Percent
of SSUs
Percent of
HUs within
 a segment
 Expected
Precision
for percent
 > 4 pCi/L
Single family
   homes             65
Residences in
   multi-unit
   structures

Homes with 1+
   smokers

Homes with 0
   smokers
Homes with 1+
    children
   under age 12      15

Homes without
    children
   under age 12      85

Homes with 1+
   children
   under age 12
   and 1+
   smokers            5

Average radon
   level for
   homes with
    basements        40

Average radon
    level for
   homes without
   basements         60
              100
              100
              100
              100
               80
             80
             50
            100
             25
             60
              80
              30
              85
              20
              70
                 0.13
35
25
75
100
100
100
60
100
100
60
25
25
0.14
0.18
0.14
                 0.27
                 0.13
                 0.34
                 0.16
              100
             80
              75
                 0.15
                                     2-54

-------
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                        3.0   SURVEY IMPLEMENTATION

      This  chapter  is  divided  into   four   sections   that   address  those
components  necessary  for   successful    implementation  of   the   National
Residential Radon  Study.    Section 3.1  discusses  those data collection
instruments already developed,  as  well as  those   to  be  developed.   The  OMB
submission and pretest plans are  discussed   in  this section.   Section  3.2
describes the training materials that will be  utilized in  the  study.   Those
materials specific to the study and  those that are universal  to any survey
are presented In this section.
      Section 3.3 details the  selection,  training, and  responsibilities of
the field staff, at both the  supervisor and  interviewer levels. Among  the
topics covered are the  counting  and  listing training  of the supervisors,
the  responsibilities  of  the   supervisors   in  addition   to   counting  and
listing,  the training of  Interviewers,  and the subsequent responsibilities
of these  sa»e Interviewers.   Finally,   Section 3.4 provides  information on
the steps  we  will  take  to  assure  that   the   highest   quality  data  are
collected.
3.1  Data Col lection Instruments
     3.1.1  Existing Instruments
            A household  questionnaire   has   been  developed   for the  National
Radon Study.  This Instrument  incorporates   comments to a draft questionnaire
that was  subnltted to  the  Science  Advisory Board  and also  incorporates  the
result of an Iterative  review   process  that has included   both  EPA and  RTI
project staff.  The questionnaire  Includes items that address  the substructure
                                   .
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type, heating, cooling  and  ventilation  systems,  and construction techniques
and materials.  Household composition and occupancy patterns of the residences
have been incorporated in this  revised  instrument.   Other items address the
number and ages of the  household  occupants and the approximate percentage of
time each occupant spends in each level of the house.
     Since the primary risk  factor  of  lung  cancer  is cigarette smoking, a
smoking history section has  been  added  to  the  questionnaire to assess the
smoking patterns in the sample households.   A draft of the questionnaire will
be submitted for  inclusion  in  the  OMB  package.    The  OMB version  of the
questionnaire will be pretested on less  than  sixty households to:  1)  assess
the comprehensibility of  the  questions  to  the  respondent,  2)  determine if
adequate data are obtained and 3)  identify other problems with the instrument
and the data collection protocol.
     In addition to pretesting  the  questionnaire,  we  will  also pretest the
control/screening form and the  consent  form  for  these  same three areas of
concern.  The control/screening form has  been  developed for use by the field
interviewer to determine if a  housing  unit  is eligible for inclusion  in the
study.  Eligibility  criteria  are:  1)  the  housing  unit  must be a primary
residence, and 2) the occupants for  the  household must have no firm plans to
move within the next 12 months.    The  placement  of ATDs will be tested as a
part of the overall data collection protocol.
     Along with the other components  of  the  survey, the lead letter will be
scrutinized during the pretest.  Since  we  are conducting a pretest and not a
pilot study, it will not be  possible  to  utilize the lead letter in the same
manner as it will be for the main survey.  However, we plan to focus attention
on the  language  of  the  letter  and  its  subsequent  impact  on respondent

                                    3-2

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participation.   To do this,  the  pretest  staff members will present  the  letter
to one-half of  the  pretest   population   prior  to  the  onset  of  screening or
household data  collection.   The  remaining  half will see the  letter  only after
deployment of the dummy  detectors.    This will  allow   us  to administer the
entire protocol  to a respondent  who   is   blind to the presurvey publicity and
other information contained  in the  lead  letter.
     Should the pretest experience  indicate  changes  are necessary in  either
the questionnaire, the control/screening   form,  the  lead letter, or the data
collection protocol, these changes  will be made.  A copy  of  the questionnaire
appears in  Appendix  A;  a   copy   of  the control/screening  form  appears in
Appendix B.    The  lead  letter and  consent  form  will  be   development in
conjunction with EPA and  our Human  Subjects Committee at a later date.
     3.1.2  Forms to be Developed
            Four other forms will be developed  for use in the  national  study.
These include a lead letter  for  the housing unit, a consent/incentive receipt
form for the occupant of  the housing unit in which detectors  are to  be placed,
a respondent notification-of-results   letter,  and a landlord notification-of-
results letter.   The  lead   letter  will   be  mailed  before  the onset of data
collection activities.  This letter   will describe  the  study and  inform the
household residents that an  interviewer will  visit.  An EPA  brochure on radon
gas or an excerpt from "A Citizen's Guide to Radon" may  be  included with the
lead letter.  In the case of rental property, landlords will not  be sent lead
letters or contacted prior  to dector placement.
     We will develop a consent  form for   the occupant of the  housing unit that
will explain the purpose of the   study  and Its confidential  nature.  One copy
will be retained by  the occupant   and   another   copy  will   be kept with the

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completed data forms.   The  consent  form   will   include  an incentive receipt
section for the respondent to sign  to  verify  that  the  incentive was  received
from the interviewer.
     The respondent notification-of-results  letter  will be designed to inform
respondents of the results of  the  radon testing.  The  landlord notification-
of-results letter will be designed to  inform landlords  radon testing  has been
conducted on one  of  their  properties and  that  results are available upon
request.
     Additionally, various  administrative   forms will  be  developed for use
during data collection.   These  forms  will  facilitate  the administration and
monitoring of data  collection  activities.     The primary administration form
will be the combination Control/Screening Form used  for  recording the  outcomes
of each attempted contact with the household (see Appendix B).
3.2  Training Materials
     While the field supervisors  are  listing   segments and recruiting Inter-
viewers, RTI in-house project staff  will develop materials for supervisor and
interviewer training and data collection.     This will include  the preparation
of field training and procedural manuals,  and  the development  of the  training
agenda.
     We will prepare a  Field  Supervisor's   Manual,   which will cover project
specific supervisory  procedures.     Supervisors  will   use  this  manual  as  a
supplement to the interviewer manual.   The  manual will  include information on
such topics as:
     •    assisting with interviewer training,
     •    preparing interviewer assignments  and work schedules,
     •    maintaining  close  communications  with  each   interviewer  through
          regular telephone and at least one in-person observation visit,
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     •    reviewing the status  of   each  active  case during  each  supervisory
          contact,  authorizing  appropriate  additional  action   for potential
          noninterviews,  and  assisting  the interviewer with  difficult  cases as
          necessary,
     •    contacting households that refuse  to  be  interviewed  and attempting
          to obtain their cooperation,
     •    monitoring interviewer  production, efficiency, and costs,
     •    validating a sample of  each interviewer's  field  work,
     •    editing completed data  collection  forms, and
     •    reporting field work progress to the  RTI  central  office  on  a weekly
          basis.
     Additionally,  we will prepare  a  Field   Interviewer's  Manual that will
contain detailed descriptions of  all  field procedures  that interviewers will
be required to follow  during the   data  collection period.  The  manual will
serve both as a training manual   and  as  a reference manual  during  field work.
The topics covered will include:
     •    study sponsorship,  background,  specific   objectives,  and importance
          of the study,
     •    other EPA programs, such  as the EPA/State  Radon  Surveys,
     •    importance of collecting  accurate  data,
     •    schedule of work,
     •    informed consent and confidentially procedures and their  importance,
     •    procedures for screening  households and  identifying  eligibles,
     •    contact procedures, explaining the  study,   overcoming  objections,
          scheduling  appointments,   and   using    other   basic  interviewing
          techniques,
     •    conducting  the  interview,  including  detailed  instructions  for
          questionnaire administration,
     •    question-by-question specifications   containing   a detailed  descrip-
          tion of each question,  including   the purpose, definitions of terms,
          and special probing instructions and  other instructions as required,

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     •    procedures for  preserving  confidentiality  of  data and respondent
          anonymity in the return of completed questionnaires to RTI,
     •    quality control procedures,   including  in-house scan edits, valida-
          tions, and the need  for  immediate  referral of problems that might
          affect  the  quality  of  data  collection  to  the  supervisor  for
          resolution,
     •    refusal conversion strategies  and  approaches  for handling problem
          situations that may arise during contact with households, and
     •    completing project administrative  forms  and  reporting progress to
          the field supervisor.
     Three existing  RTI  manuals  will  be  used  by  the  field staff during
training and data collection:  the RTI Field Interviewer's General Manual, the
RTI Field Supervisor's General Manual, and  the RTI Field Counting and Listing
Manual.  These three  manuals  contain  basic  information applicable to field
work for all of our surveys, and  their use will eliminate the need to provide
extensive coverage of general  subject  in  the  project field manuals.  These
three manuals are attached for reference.
     A series of handout cards  will  be  developed  to aid the interviewer in
capturing accurate data regarding various aspects of the questionnaire.  These
cards  will  graphically  illustrate   house  types,  construction  materials,
foundation types, HVAC systems, and  other  items as determined by the project
staff.
3.3  Field Staff Selection, Training,  and Responsibilities
     Field work for the  National  Radon  Study  will  require a large, highly
qualified field staff.  Selection of  this staff and the provision of thorough
training will be critical to the  success  of  the  study.   The approaches we
plan to use in achieving this goal are described in this section.
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     3.3.1  Field Supervisors
            The quality of supervisory  direction   and  support received by the
field interviewers will impact greatly  on   the  quality of data collected and
the overall  success of the study.    Supervisors will  be located as  close as is
practical to the interviewers with whom they will  work.
            3.3.1.1  Selecting and Assigning Supervisors
                     Field supervisors for   this   study  will  be selected from
our pool of approximately 75 individuals who  have worked as field  supervisors
on other RTI  projects.    The  criteria for  selection  will be quality past
performance and  proximity  to  the  sampled  geographic  areas.   Since these
individuals have worked for RTI  in  the past,  we will not need to interview
them, only obtain their commitment by phone.
     Each field supervisor will supervise approximately 15 interviewers, so we
will require 12 to 15  field  supervisors  and approximately 200 to 250 field
interviewers for a sample size of 7,400.
            3.3.1.2  Supervisor Training
                     Field supervisors will  attend a two-day briefing session
at RTI.  The briefing will cover:
     •    study purpose and procedures,
     •    field interviewer recruiting and  selection  criteria,
     •    questionnaire specifications,
     •    interviewer training,
     •    supervisory and reporting responsibilities,
     •    extensive review of counting and  listing procedures, and
     •    counting and listing exercises in the  local community.
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     The  RTI  Field  Supervisor's  Manual  discussed  In  an  earlier section
explains these topics in detail.    Supervisors will attend and participate in
the field interviewer  training.    Prior  to  the commencement of interviewer
training, each field supervisor  will  be  given  a  special  briefing at their
training site.  This briefing for supervisors will be conducted by the central
office'trainers and will cover all supervisory procedures in  detail.
            3.3.1.3  Supervisor Responsibilities
                     Field  supervisors  will  recruit  field  interviewers in
their area and count  and  list  housing  units.   Supervisors will  screen the
interviewer prospects by phone.    During  their  counting and listing circuit
through the  interviewers'  area,  supervisors  will  interview  the  strongest
candidates in  person  and  hire  two  field  interviewers  for  every primary
sampling unit, giving optimal  staff  coverage  for the projected sample yield
and allowing for interviewer attrition and project scheduling constraints.
     Supervisors will use  standard  RTI  procedures  for counting and listing
housing units within their assigned SSUs.  Sampling materials will include:
     •    a census map showing the SSU location,
     •    a hand-drawn  map  showing  the  SSU  boundaries  and  the  number of
          housing units expected, and
     •    a SSU listing form  for  recording  the  address or a description of
          each housing unit.
     Initially the supervisors will verify  the physical boundaries of the SSU
as shown on the SSU map  and  do  a  quick  count of housing  units in the SSU.
Boundaries and counts  that  vary  significantly  from  what   is expected will
require the supervisor to call  the  RTI  sampling  staff for instruction.  In
some cases,  supervisors may be  instructed  to  list  only part of the SSU, to
subsegment.

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     The.supervisors will   apply  prescribed   rules   for  traveling through the
SSU, following roads in a specified  order to  ensure  that all  possible housing
locations are investigated.  Standard rules will  specify  handling of multiple-
unit dwellings, such  as  apartment  or  condominiums and atypical structures,
such as boarding houses.
     Supervisors will mail completed listing   materials to RTI sampling staff.
If errors are detected, the supervisors will be contacted and  asked to resolve
same.
     3.3.2  Field Interviewers
            3.3.2.1  Recruiting and Hiring Interviewers
                     RTI will  identify potential  interviewers  listed in our
National Interviewer File, a computerized  file   of over  3,000 individuals who
have worked,  or applied to work,   as field interviewers on other RTI projects.
The file includes  information  about  each individual's capabilities, exper-
ience,  language fluencies, location  and   availability.   The field supervisors
will receive a list  of  individuals  from the   file who appear to have the
necessary qualifications and live in  the appropriate geographic area for this
survey.  Other interviewer  candidates may be identified by  contacting other
survey organizations, by  advertising  in  local   newspapers,  or by recruiting
through state employment agencies.
     Interviewer applicants will   be  screened by field supervisors over the
phone and  strong  candidates  interviewed in person during the supervisors
counting and listing circuit in the interviewers  area.
            3.3.2.2  Interviewer Training
                     Approximately 200 to 250  interviewers will be trained for
the survey.  Two 2.5 day training  sessions will  be held, each involving three

                                    3-9

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RTI in-house trainers, the field  supervisors  for that region of the country,
and the interviewers assigned  to  work  that  region.   Field supervisors will
assist trainers during each training session.
     A pre-training study package,   which  will   include study materials and a
questionnaire, will be mailed  to  each  field interviewer several  days before
the training session, with  specific self-study instructions and authorization
for four hours of pre-training  study  time.    The RTI  in-house training staff
will meet prior to the  onset  of  training  to  to review the training guide,
discuss training  procedures  and  clarify  training  instructions  and related
materials.
     The training  methods  used  will   include  lectures,  question-and-answer
review  sessions,  demonstrations,   small   group  discussions,   and structured
drills. Field supervisors will  work with  their interviewers  during training
exercises.  A formal  training  guide  will  maximize participation  and require
trainees to react to potential field situations  and to deal  with  field forms
and procedures.  Topics to be covered during the 2.5 day session will  include:
     •    mailing lead letters to sample households,
     •    identifying a sample housing  unit,
     •    contacting a household member,
     •    determining eligibility and completing the screener,
     •    introducing the study and explaining its importance and confidential
          nature,
     •    obtaining  participation   and  signed   consent  from  all   occupant
          respondents,
     •    administering the questionnaire, question-by-question,
     •    answering questions raised by the respondent  in clarifying  terms,
     •    placing the radon detectors  and  recording  their location prior  to
          the interviewer leaving the residence,
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     •    paying the incentive and getting a  signed  receipt,
     •    editing completed questionnaires,
     •    reporting to field supervisors,  and
     •    completing time and expense reports.
     Interviewer trainees will be  encouraged  to  ask  questions about any of
these topics.   They  will  practice  and   review  all   procedures,  in a "mock
interview" setting.  Emphasis will be  placed  on  the  objectives of the study,
housing characteristics and the importance of correct  detector placement.
     We anticipate  that  we  will  lose   some   interviewers   during training.
However, by hiring two field interviewers   for  every county,  we compensate for
this attrition.
     At the conclusion  of  training,   the interviewers  will   be given their
assignments,   materials,  and  picture ID badges.     They   will  begin their
interviewing assignments Immediately after training.
            3.3.2.3  Interviewer Responsibilities
                     The Interviewer will   be  responsible for contacting the
household, determining eligibility,  administering  the  questionnaire,  aiding in
the placing of, or placing,  radon  detectors,   and  paying the incentive.  The
interviewer will also be responsible  for  identifying  any  missed listing units
in the segment.
     The Interviewer will mall a lead  letter,   a  copy of  the Citizen's Guide,
and an Information  sheet  to  each  sampled  housing   unit   a few days before
beginning work In a  segment.    The  letter  will   explain the survey and its
importance and will alert the  household   members  that an  RTI interviewer will
be contacting then In the  next  week.    Our  experience  dictates that a lead
letter on government letterhead (i.e., EPA) increases  response rates.
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     Initial visits to sample households will  be  made  in the late afternoon or
early evening on a weekday or on  a Saturday to maximize the chance of finding
either the householder or the spouse at  home.  If neither the householder nor
spouse are at home, the interviewer  will   call a second time between  5:30 and
9:00 pm on a weekday or Saturday.    Additional visits will  be made at varying
times and days in order to find someone at home.
     Vacant housing units,  non-residential   units,  and temporary or  vacation
homes will be  reported  to  the  field  supervisor after the interviewer has
verified the status of these  units.    Upon approval  of the supervisor,  these
units will be classified  as  ineligible  for the survey and this information
will be routed to RTI to update the control  system.
     If the householder is at  home,  the  interviewer will  identify the  study
and ask if the  lead  letter  was  received  by   the  household.    If  not,  the
interviewer will give a copy to the  respondent and either read the letter out
aloud or allow time for it to be read before proceeding.  Then the interviewer
will determine if the households is  eligible for  the survey and if  so,  will
proceed with questionnaire administration.    If   the  household is ineligible,
the interviewer will thank  the  respondent  and   proceed  to the next housing
unit.
     Prior to administering  the  questionnaire,   the  interviewer will perform
the following tasks:
     •     describe the survey,
     •     explain the kinds of questions that will  be  asked,
     •     emphasize the importance of the information,
     •     assure the respondent that the study is completely confidential,  and
     •     read the consent form and  obtain   verbal  agreement to  continue with
          the questionnaire.
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     The Interviewer will  have the   respondent   sign  the  informed  consent  form
before proceeding with detector placement.
     Other adult household members  will   be   invited   to  join  in the  interview
process, as necessary, to  increase  the  accuracy  and completeness of the  infor-
mation obtained.  If the  respondent does   not   know the answer to a question
about the house, the  interviewer  may   accompany the respondent  while  he/she
investigates (e.g.,  by going outside,   they   can determine if  the  entire house
is over a crawl space or if it is partially  on a concrete slab.)
     The radon detectors will  be placed   in   the home by  an occupant  according
to the instructions  of  the  interviewer.     As   the  detectors are placed,  the
interviewer will record the location and  ID number  of each detector and  give
the respondent information about the detectors and precautions for their use.
     The interviewer will   give  the participating   respondent $5.00 in  cash
after the detectors   are  placed.    The  respondent   will  sign the  incentive
receipt portion of the consent form to  verify that the money was received.
3.4  Field Quality Assurance
     Close supervision of  field data collection   activities in a study of  this
kind is essential to achieve high  quality   data and  the  maximum response  rate
possible within the allotted time and  budget.    The  staffing  plan we will  use
for the National Residential Radon   Study will  provide this supervision.   The
issues and procedures associated with this project's  overall quality  assurance
plan are addressed in Section 5.
     3.4.1  Supervision
            The field supervisors will   oversee   the   work of  the  field  inter-
viewers assigned to them.    Each supervisor will recruit, assist  in.training,
and monitor the data  collection activities of  their respective interviewers.
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 Each interviewer will contact his/her supervisor at least once a week, usually
 by telephone.  During these  contacts,  the supervisor will review each active
 case with the  interviewer  and  resolve  any  problems.   The supervisor will
 summarize the information received from  the  interviewers and send an updated
 field report to the RTI in-house regional  supervisor every week.
     The supervisor will also visit each  interviewer at least once during the
 data collection period to observe their  work,  help with problem cases, answer
 questions, and offer suggestions to  improve participation rates.  Also during
 this visit, the field supervisor  will  make in-person follow-up contacts with
 refusals and perform validation checks on the interviewer's work.
     Each field supervisor will report  to  an  in-house regional supervisor at
 RTI's central office.  The  regional   supervisor  will review the field super-
 visor's weekly reports and  help  resolve  problems.   The regional supervisor
 will  monitor field costs and  will  advise  the  field supervisor if there are
 budgetary problems.  The data  collection  manager will have overall responsi-
 bility for  all  data  collection  activities  and  questions  which cannot be
 resolved by the field and regional supervisors  will be referred the manager.
     3.4.2  Validation
            A rando* sample  of  at  least  10   percent  of each interviewer's
 completed Interviews will be validated by telephone.  Supervisors,  who will  be
maintaining  the  completed  household  screening  forms  containing  name and
 address of the  respondents,  will  be  responsible  for  this activity.   Non-
 interviews will not  be  Included  In  the  validation  sample since follow-up
efforts will be Made on all such cases routinely.
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                       4.0 DATA REDUCTION PROCEDURES

    The  data  reduction  procedures  include   all   data  processing steps,
including data receipt, edit/coding,  error resolution,  data entry,  machine
edit, data file  preparation,   and  document  storage.    An automated event
monitoring system will monitor  the  receipt  of  all  survey forms,  as will
each data processing step. Also included   are   the  linking of data from the
survey forms with the sample design  information such  as stratum,  PSU, SSU,
and HU.  This linkage is  necessary  to calculate sampling weights for each
sample HU  and  to  compute  appropriate     nonresponse   adjustments to the
sampling weights for the statistical analysis.
4.1      Survey Monitoring System
    Effective monitoring  of  the  data  receipt  and  data processing task
requires an efficient  and  flexible  system.     We will use our automated
survey monitoring  system  for  the  National   Residential  Radon Survey,  a
software tool developed by RTI to  assist in monitoring  data collection and
data processing operations.    The  system  operates  under control  of FICS
(Fully Integrated Control System),  which  is   a database management system
developed at RTI for managing  research  data   on studies where tracking is
involved and data access is  required.    FICS allows  interactive and batch
processing.  It is fully menu  driven  and supported by  a flexible language
that allows users to develop their own routines.
    The monitoring activity is controlled by  an event table defined by the
user.  The events are defined  as  actions within the  task being monitored.
The events mirror a sequence  of  activities  that follow a logical  pattern
dictated by the task.  Each event is defined within the  system as a

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predecessor or outcome of another event.  Each processing event is dated so
that duration times  may  be  followed  and  the  user  can be alerted when
activities fall behind schedule.    Reports  may  be produced directly from
FICS or the user can design  his  own  reports.   The user can tabulate and
print any items from the database.    In addition to reports, FICS can make
additional  files  available  to  other  software  systems  for  management
activities.
4.2 Questionnaire Processing
    The data processing task  include  data receipt, data preparation, data
entry, and hardcopy storage.  Each of these activities is discussed in this
section.
    4.2.1     Data Receipt
         Data  receipt  involves   receipt   of   the  mail,   check-in  and
identification, scan-edit, and batching.  Part of the check-in procedure is
keying events to the automated monitoring system.
    After being checked in, a  scan-edit  checks the forms for completeness
and usability.    If  the  form  fails  to  meet  preset specifications for
processing,   it  is  turned  over  to  the  field  operations  manager  for
resolution.
    All  data forms that pass  scan-edit  are batched for easier handling by
the receipt clerks.  These  batches  are  numbered and logged into the data
receipt log book and the monitoring  system.   The form is entered into the
monitoring system by the data receipt clerk.  If the package  does not match
a study ID,  it is turned over  to the data collections operations staff for
resolution.   Each form is identified by  number and assigned  to a batch and
entered into the log.   We expect batches to have 25 questionnaires or 75 to
100 screening forms.
                                    4-2

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    4.2.2  Data Preparation
         The  batches  will  be  assigned  to  an  edit  clerk.     The edit
specifications and coding  requirements  will  be  described  in a Edit and
Coding Manual that will be written  for  the task.   A training session will
instruct the clerks  on  these  procedures.    Once  work  has started, the
supervisor will periodically check a  sample  of each clerks work to insure
quality work as a quality control  measure.
    We will follow-up with the respondent on questionnaires that fail  edit.
The edit clerk  will  call  the  respondent  in  an  attempt to  resolve any
problems we find.  We  expect  to  recontact  10 percent of the  respondents
that complete the questionnaire.
    4.2.3  Data Entry
         All data received 1n hard copy  form  will  be keyed by RTI 1n our
data entry unit.  Our full-time data  entry operators work up to two shifts
a day as required  by  study  schedules.     They  use a data entry software
system to check formats and ranges;  1t can  also be  programmed to make  logic
checks.  Skip patterns are checked through  detailed machine edits.
    A detailed machine-readable  codebook  describes  every  element of the
instrument.    The  codebook  contains  a  short  item  name  and  a longer
description for use In analysis.   The format type  and the acceptable  range
of each Item Is part of the  codebook   record and is used by the data  entry
program to check the data as  1t  1s being  entered.  These codebooks become
part of the permanent documentation for the data entry program and are used
to create documentation for the edit files.
    Each  keyer  Is  trained  by  the   programmer  and  each  supervisor is
instructed on how to  monitor  the  work.    We  will  rekey two 10 percent

                                    4-3

-------
 samples of the data as  a  quality  control  measure.   The rekeyed data is
 compared to the original to ensure that  the data is being keyed within the
 prescribed specifications.  Two different keyers  will do the rekeying.  If
 poor  quality data is found,  those  batches  will  be rekeyed and the keyer
 will  be retrained.
    4.2.4     Questionnaire Storage
         After data entry, the  survey  forms  will  be stored in a secure,
 vault-like storage area until the  project  is completed; they will then be
 disposed of  according  to  SC&A  or  EPA  instructions and confidentiality
 requirements.
 4.3 Data File Preparation
    Once the data is in machine-readable format, it will undergo some level
 of machine edit.  At a  minimum,  the data will be checked for skip-pattern
 errors.  More extensive  edits  may  be  programmed by specifying the logic
 checks of certain key items.
    The final  data  file  will  be  documented  with  a complete codebook,
 formatted as described in the section on Data Entry above.  In addition the
 frequency of each  variable  will  be  calculated  and  become  part of the
 codebook.  The data file  and  documentation  will  be submitted to SC&A as
 part of the final report.
 4.4 Constructing the Statistical Analysis File
    Once all  of the data from  the  survey instruments have been keyed  the
 raw data file will  be  merged  with  the  design information file.  Result
codes from the control/screening form  will  be used to ascertain which HUs
were eligible for the study.    Among  the  eligible HUs, each unit will be
classified as  a  respondent  or  nonrespondent.    The  ellgibles  will be

                                    4-4

-------
partitioned into weighting   classes  that  are  similar  by  known  important
characteristics  associated   with  radon  levels   and  other  parameters  of
interest.   The sampling weights  will then be ratio adjusted  so that  the sum
of the respondents'  weights  equals the sum of the  eligible's weights within
each weighting class.
    The nonresponse adjusted  weights  will  be  used  to  inflate  parameter
estimates  to population levels in  the statistical analysis.  All  estimates
of population parameters  and  their  variances  will  properly reflect the
stratification and stages of selection employed in the sample design.
                                    4-5

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                           5.0 QUALITY ASSURANCE

    A draft Quality Assurance Project Plan (QAPP)  has been prepared for the
NRRS according to current EPA  guidelines  (QAMS 005/80).  The specific and
detailed steps that  will  be  implemented  to  assure  that  the NRRS will
generate high quality data  and  satisfy  the  objectives of the survey are
given in the QAPP.  This  chapter briefly overviews the issues addressed in
the QAPP, the  interested  reader  is  referred  to  the  QAPP for specific
details.
    Quality  assurance  procedures  will  be  applied  to  essentially  all
components of the survey including
    •    Sampling procedures
    •    Sample custody
    •    Measurement calibration
    •    Analytical procedures
    •    Data receipt and processing procedures.
The QAPP also outlines steps  that  will  be  taken to assure that the five
above items will be performed correctly.  These include

    •    Internal quality control checks
    •    Audits of the analytical laboratory
    •    Specific procedures for assessing  the  precision  and bias of the
         measurements and the estimates of  radon levels for the nation and
         important subsets of the nation.
    •    Corrective action.
    The QAPP is organized into  15  Sections  and  begins in with a general
description of the project.  Section 2 specifies the project organizational

                                    5-1

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structure and describes  the  responsibilities   of   the  each organizational
unit.    The  QA  Objectives  are   stated  in   terms  of  precision,   bias,
representativeness,  completeness,   and  comparability   in   Section  3.  The
planned sampling procedures are described next  including radon measurements
within each home and the  process   used   to select  homes in which detectors
will be placed.
    In Section 5, the sample  custody  procedures that will  track detectors
from the point of purchase, during   in-house and field handling,  and  return
to the laboratory for analysis.    Section  5 also  describes the  procedures
that will track  all  other  survey forms  including  the  questionnaire and
control/screening form.
    Calibration procedure and their frequency   are specified in  Section 6.
The analytical  procedures  including  the  preprocessing   of detectors and
their counting are covered in Section  7.   Chapter 8  describes the receipt
and processing of  all  data  forms,   their manual  editing, and automated
processing.
    Section 9 outlines the  internal   quality   control  checks that will be
required of the laboratory,    sample  design,   survey operations, and data
processing.  Audits to assure  that the  procedures specified 1n Section 9
are followed are planned.  Section   10  describes the  form and frequency of
the audits.  Section  11  specifies the preventive maintenance planned for
the laboratory  equipment  used  to analyze the   detectors.    Section 12
specifies the procedures that will   be  used to assess the precision, bias,
and completeness of  the  measurement  data.    The  steps  to  be taken if
corrective actions are necessary are described  in Section  13.
    The content the  required  QA  reports  to   management are described 1n
Section 14.  The references are given  Section 15.
                                    5-2

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            APPENDIX A.



GLOSSARY OF TERMS USED IN CHAPTER 2

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Alpha
CO



Cl


C2


C3


Deff.
deft.

Domain
Housing Unit
HU
The alpha level  is  set   by the researcher and is
the probability  of  rejecting the null  hypothesis
when,  in fact,  it is true.   This type  of error is
called a type 1  error.     (A type 2 error,  as you
might  expect, is  the probability  of failing to
reject the null  hypothesis   when,  in  fact,  it is
false.

The fixed survey  cost,   that  is, costs that are
not affected by  the  size  or distribution of the
sample.

The cost associated  with  the  number of PSUs in
the sample,  on  a cost per PSU basis.

The cost associated  with  the  number of SSUs in
the sample,, on  a cost per SSU basis.

The cost associated with the number of HUs in the
sample, on a cost per HU basis.

Deff is  an  abbreviation  for  the term "design
effects" and is  a  measure of the inefficiency of
a sample design.    The   Deff  for an  estimate is
computed as the  ratio of two variances,  the error
variance of  the  estimate  based  on   the sample
design used to the error variance of a comparable
estimate if a  simple  random  sample  of the same
size had been used.

Deft is merely the square root of Deff.

A  subportion   of   the   population   for  which
statistical estimates are desired.  A domain can
be defined in  a  variety  of  ways.   Examples of
domains of Interest  for the National  Residential
Radon Survey are  geographical regions within the
United   States    and    houses   with   certain
construction characteristics,  such  as  having a
basement.

A house, apartment, mobile home or trailer, group
of rooms, or single  room  occupied as a separate
living  quarter  or,   if  vacant,  intended  for
occupancy as a separate  living quarter.   Separate
living quarters are those  in which the occupants
live and eat separately  from any other persons in
the building and  which   have  direct  access from
the outside of the  building  or through a common
hall.   The occupants of  a  housing unit may be a
single family,  one  person  living  alone, two or
more families living together, or any  other group

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Place
Place size code
Primary Sampling Unit
PSU
County
                          of related persons or  up  to 9 unrelated persons
                          who share living arrangements.

                          Each  sample   SSU   is   visited   by   a  field
                          representative.     Typically   the   sample  SSU
                          contains no more than 150 housing units (HUs), in
                          which case the addresses of all HUs are listed on
                          a special listing  sheet,  using  a separate line
                          for   each   address,   and   following  explicit
                          instructions contained  in  a  special  RTI Field
                          Listing Manual.  When  an  SSU contains more than
                          150 HUs, it is usually "subsegmented," and one or
                                                  is  randomly selected for
more of  the
listing.
subparts
A concentration of  population  which  may or may
not have  legally  prescribed  limits, powers, or
functions.  Most of  the places identified in the
1980 census  are  incorporated  as cities, towns,
villages,  or  boroughs.    In  addition,  census
designated places (called "unincorporated places"
in  earlier  censuses)   are  delineated  for 1980
census  tabulations.    There  are  about  23,000
places recorded  in  the  1980  census,  of which
about 20,000  are  incorporated  places and 3,000
are not incorporated.     Places  may cross county
boundaries but do not  cross state boundaries.

00      Not in a place
01      Under 200
02      200-499
03      500-999
04      1,000-1,499
05      1,500-2,499
06      2,000-2,499
07      2,500-4,999
08      5,000-9,999
09      10,000-19,999
10      20,000-24,999
11      25,000-49,999
12      50,000-99,999
13      100,000-249,999
14      250,000-499,999
15      500,000-999,999
16      1,000,000 or more

The population to be sampled is partitioned into
primary sampling units (PSUs) each of which is a
county or  county  equivalent  (or  on occasion a
combination   of    two    counties   or   county
equivalents.)  A  probability  sample  of PSUs is
selected.  The PSU is   sometimes referred to as a
county.

-------
RH01
The intracluster
PSUs.
correlation  among  SSUs within
RH02
Relative Standard Error
RSE

Secondary Sampling Unit
SSU
Segment
The  intracluster  correlation
SSUs.
              among  HUs within
The ratio of the standard error of an estimate to
the parameter being estimated.

A sample PSU is partitioned into smaller areas
such as census defined blocks,  block groups or
enumeration districts (EDs).   These are secondary
sampling units (SSUs).    A probability sample of
SSUs is selected  within  each   PSU.   The SSU is
typically   referred   to   as    a   segment   in
instructional    materials   prepared   for  field
interviewers.

-------
           APPENDIX B



NATIONAL RESIDENTIAL RADON SURVEY



          QUESTIONNAIRE

-------
                                                       OMB Number:
                                                       Expires:
March 20,  1989
                                QUESTIONNAIRE

                    THE NATIONAL RESIDENTIAL RADON SURVEY



                                Sponsored by

                    U.S. Environmental  Protection Agency
The purpose of this study is to determine the extent of radon concentrations
in residential structures throughout the United States.  Radon is a radio-
active gas that occurs naturally in soil and rocks and in building materials.
Your household was randomly selected for this important study.
Interviewer Name:

Date of Interview:  	
                                                      PLACE I'D LABEL HERE

Time Interview Began:  	am/pm

Time Interview Ended:  	am/pm

-------
1.   IF READILY OBSERVABLE, DO NOT ASK.
     Which of the following best describes this residence?
                                         [CIRCLE ONE]
          A multi-unit building	01  —>   GO TO Q3
          A mobile home	02  —>   GO TO Q6
          A single unit, detached dwelling	03  —>   GO TO Q2

2.   Which of the following house-types best describes this house.
                                        [CIRCLE ONE]
          Ranch style or 1 story	01
          Split level	02
          Split foyer	03        —> Q6
          2 story	04
          3 or more stories	05 .

3.   How many housing units are in this building?
             /   /     HOUSING UNITS
4.   How many floors are in this building, including any below ground?
             /     FLOORS
          DK	94
          RE	97


5.   In this building, on which floor is the lowest level of your home located?
             /     LOWEST LEVEL OF HOME IN BUILDING
          DK	94
          RE	97
                                                                       March 20,  1989

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     About how old is  this  (home/building)?
          LESS THAN 1 YEAR OLD	01
          1-5 YEARS OLD	02
          6-10 YEARS OLD	03
          11-20 YEARS OLD	04
          21-40 YEARS OLD	05
          OVER 40 YEARS OLD	06
          DK	94
          RE	97

7.   Do you have a full or partial  basement,  a cellar,  or a level  of the house that
     has one or more walls partially or completely below ground level?  (PROBE:  A
     level is the area within a home that is  all  of  the same height and is not
     separated by any stairs.)
          YES	01  —->   CONTINUE
          NO	02
          DK	94    —->  Q12
          RE.,	97 .

8.   For the purpose of this  study  we are calling the  floor or level that has one or
     more walls partially or  completely below ground a basement.  Can you enter the
     area we are calling a basement from inside your home?
          YES	01  —>   CONTINUE
          NO	02
          DK	94    —>  Q10
          RE	97 .

9.   Is there a door that can be closed between what we are calling a basement and
     the next higher level?
          YES	01
          NO	02
          DK	94
          RE	97
                                                                       March 20, 1989

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10.  Which of the following describes  the  construction  of  most  of  the  outside
     basement walls?  Are they mostly  made of...
                                  [CIRCLE  ALL  THAT  APPLY]
          concrete block or cinder block	01
          poured concrete	02
          stone and mortar	03
          wood	04
          brick/brick veneer	05
                                      t
          earth/dirt or	06
          something else 	07 —>  [SPECIFY]	|_|_
          DK	94
          RE	97

11.  Is any part of your basement floor exposed earth?
          YES	01
          NO	02
          DK	94
          RE	97

12.  Is any part of this home excluding a  basement  on a concrete slab?
     [IF MOBILE HOME:  AXLE OR WHEELS  RESTING  ON  CONCRETE  PAD SHOULD BE CODED  AS A
     "NO".]
          YES	01
          NO	02
          DK	94
          RE	97

13.  Is any part of your home over a crawl space?  (PROBE:  A crawl  space is space
     between the ground and the floor  structure that  cannot  be  occupied.  This is
     space other than a basement or cellar.)
          YES	01  —>  CONTINUE
          NO	02
          DK	94
          RE	97
->  Q20
                                                                       March 20,  1989

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14.   Does any part of the crawl  space have exposed or visible earth, sand or rock?
          YES	01  —>  CONTINUE
          NO	02
          DK	94   —->  Q15
          RE	97
14a. What, if anything,  covers all  or part of the surface of your crawl space?

     	!_!__!

15.   How much of the crawl space is enclosed by foundation walls- all, part or none?

          ALL	01
          PART	02    —> CONTINUE
          NONE	03
          DK	94   —>  Q20
          RE	97 .

16.   Which of the following describes the construction of most of the outside
     foundation or crawl space walls?  Are they mostly made of....
                                   [CIRCLE ALL THAT APPLY]
          concrete block or cinder  block	01
          poured concrete	02
          stone and mortar	03
          wood	04
          brick/brick veneer	05
          earth/dirt or	06
          something else	07—>  [SPECIFY]	
          DK	94
          RE	97
                                                                      March 20,  1989

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17.  Can you enter any part of the enclosed crawl  space without  going  outside the
     L. A ..»,«. 1
     house?
          YES	01
          NO	02
          DK	94
          RE	97

18.  Are there air vents in the foundation walls  of  the  crawl  space?
          YES	..01  —>  CONTINUE
          NO	02
          DK	94   —>  Q20
          RE	97 J

19.  What percentage  of the time during the year  are the vents open?   ENTER WHOLE
     NUMBERS.
             /   /     PERCENT
          DK	94
          RE	97

20.  Is any part of your home over open air, that is,  on blocks,  or pillars?
     (PROMPT:  These  may also be know as columns, pylons,  or piers)
          YES	01
          NO	02
          DK	94
          RE	97
                                                                       March  20,  1989

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21.  What percent  of your home rests over a,
     a.    basement	
     b.    concrete  slab	  |	|	|	|  %
     c.    crawl  space	  |	|	|	|  %
     d.    open air	  |	|	|	|  %
     e.    something else	  |	|	|	|  %  —->  [SPECIFY]
     f.    DK	  |	|	|	|  %
     g.    RE	  I_I_I_J  *

     (INTERVIEWER:   THESE PERCENTAGES MUST ADD UP TO
     100%.  IF NOT, RECALCULATE OR PROBE AS NECESSARY.)
SCRIPT 1 — READ TO RESPONDENT:
Radon levels tend to be different  in different levels of homes.  We need to  determine
how many levels or floors  your home has.  A level is the area within a home  that  is
all at the same height  and is not  separated by any stairs.  We are not counting as
separate levels such things as sunken living rooms or sunken foyers.

22.  How many levels or floors are in your home?  (PROBE:  This includes basement or
     cellar.)  [CIRCLE  ANSWER BELOW AND RECORD ANSWER IN BOX AT THE INTERVIEWER
     CHECKPOINT ON PAGE 19.]
                            [CIRCLE ONE]
          One level	01
          Two levels	02
          Three levels	03
          Four levels	04
          Five levels	05
          Six levels	06
          DK	94
          RE	97
                                                                      March 20,  1989

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23.  Which of these levels has one or more walls  partially  or  completely  below
     ground?
                        [CIRCLE ALL THAT APPLY]
          Level one	01
          Level two	02
          Level three	03
          Level four	04
          Level five	05
          Level six	06
          None	00
          DK	94
          RE	97
24.  We are interested in the levels of your home that are used  as  living quarters.
     By living quarters we mean the rooms in which you sleep,  eat,  watch television,
     or do other activities of daily life.   Starting with  the  lowest level  of your
     home as level one, which of these levels do you use as living  quarters?  (PROBE:
     This includes a basement or cellar if it is used as living  quarters.)
                       [CIRCLE ALL THAT APPLY]
          Level one	01
          Level two	02
          Level three	03
          Level four	04
          Level five	05
          Level six	06
          None	00
          DK	94
          RE	97
                                                                       March 20,  1989

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25.  Think about the building material  used  for the  floor of  the  lowest level  of your
     home, or what we think of as your  primary  radon barrier.   Which  of the following
     building materials makes up your lowest level floor?
                    [CIRCLE ALL THAT APPLY]
          poured concrete	01
          wood	02
          earth, or	03
          something else	04—>  [SPECIFY]  	l_|_|
          DK	94
          RE	...97
26.  Do you have a garage or underground parking  structure?
          YES	01  —>  CONTINUE
          NO	02
          DK	94
          RE	97
—> Q29
27.  Is this garage or underground parking structure attached to your home?
          YES	01
          NO	02
          DK	94
          RE	97
28.  Does this garage or underground parking structure rest on a concrete or asphalt
     surface that is attached to or bordering the foundation of your home?  (PROBE:
     Bordering means actually touching the foundation.)
          YES	01
          NO	02
          DK	94
          RE	97
                                          8                            March 20, 1989

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29.  Are there any other concrete or asphalt surfaces attached to or bordering the
     foundation of your home?  (PROBE:  Bordering means actually touching  the
     foundation and includes such things as a carport or a patio.)
NO 	
DK 	
RE....
	 02
	 94
	 97
/ UUN 1
— > Q31

30.  Which of the following structures are attached to or border the foundation of
     your home?  [CIRCLE ONE RESPONSE FOR EACH ITEM,  a-i]
                                              Yes
                                       No
                                             DK
RE
a.
h
c.
d.
e.
f
Q.
h

carport 	 	
driveway 	
sun room 	
porch (slab on
patio 	
workshop 	
sidewalk 	
anything else?.

	 01 	
	 01 	
	 01 	
grade, only).... 01 	
	 01 	
, 	 01 	
	 01 	
, 	 01 	
I
[IF YES, SPECIFY]
	 02.
	 02.
	 02.
....02.
	 02.
	 02.
	 02.
	 02.

	 94...
	 94...
	 94...
Q4
• •••*••*• J~ * • •
	 94...
	 94...
	 	 94...
	 94...

	 97
	 97
	 97
	 97
	 97
	 97
	 97
	 97
1 1 1
31.  The next few questions are about the heating, air conditioning and ventilation
     systems in your home.  Does this home have a main or primary heating system?
          YES.
          NO.
          DK.

          RE.
.01

.02
.94

.97
    CONTINUE
—> Q37
                                                                       March  20,  1989

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32a. Do you use the following  appliances  for main  or  primary  heat  during  the  heating
     season?
               FOR EACH YES CIRCLED,  ASK:
                                     32b.   Do you  use  this  (NAME)...
     1. unvented kerosene
        space heater
Y   N   DK   RE
01  02  94   97
     2. kerosene space heater     01   02  94   97
        vented to the outside
     3. unvented gas or propane   01   02  94   97
        space heater
     4. gas or propane heater     01   02  94   97
        vented to the outside
     5. woodstove
     6. fireplace
01  02  94   97
01  02  94   97
ALWAYS/
ALMOST
ALWAYS
01
01
01
01
01
01
ABOUT
HALF
THE OCCASSION-
TIME ALLY DK
02
02
02
02
02
02
03
03
03
03
03
03
94
94
94
94
94
94
RE
97
97
97
97
97
97
33.  Which one of the following fuels  do you use for your main or primary heating
     system?
                           [CIRCLE ONE]
          oil	01
          electricity	02
          coal	03
          other	04 —>  [SPECIFY]  	|_|
          none used	05
          DK	94
          RE	97
                                         10
                                     March 20, 1989

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34.  Which one of the following best describes  the  type  of  distribution  system you
     use for your main or primary heating  system?
          forced air	..01  —>  CONTINUE
          hot water (i.e. radiator or baseboard)	02
          natural convection (i.e. fireplace, woodstove
            or floor furnace:  without a blower)	03    —>  Q37
          or, something else	04
                    i
               [SPECIFY]	l__l_l
          DK	.94
          RE	97

35.  Is this system in a basement or crawl  space?
               YES	01
               NO	02
               DK	94
               RE	97


36. .Do any ducts carrying the warm air for this  system  run under the house?
               YES	01
               NO	02
               DK	94
               RE	97


37.  Do you use any supplemental system to heat your home?
          YES	01 —>  CONTINUE
          NO	02 —>  Q43
                                         11
March 20,  1989

-------
38a. Do you use the following appliances  for supplemental  heat  during  the heating
     season?

               FOR EACH YES CIRCLED,  ASK:

                                     38b.   Do you  use  this (NAME)...
     1. unvented kerosene
        space heater
                                  Y   N   DK   RE
01  02  94   97
     2. kerosene space heater     01  02  94   97
        vented to the outside

     3. unvented gas or propane   01  02  94   97
        space heater

     4. gas or propane heater     01  02  94   97
        vented to the outside
     5. woodstove

     6. fireplace
01  02  94   97

01  02  94   97
ALWAYS/
ALMOST
ALWAYS
01
01
01
01
01
01
ABOUT
HALF
THE
TIME
02
02
02
02
02
02
OCCASION-
ALLY
03
03
03
03
03
03
DK
94
94
94
94
94
94
RE
97
97
97
97
97
97
39.  Which of these other fuels are used for supplemental  heat?

               [CIRCLE ALL THAT APPLY]

          oil	..01

          electricity	02

          coal	03
          other	04  —>  [SPECIFY]  	

          none used	05

          DK	94

          RE	97
                                         12
                                     March 20, 1989

-------
40.  Do you use any of the following distribution systems for supplemental  heat?
                                       Y         N         DK        RE
          a.   forced air	01	02	94	97
          b.   hot water	01	02	94	97
          c.   natural convection
               (fireplace,  woodstove,
                floor furnace,
                without blower)	01	02	94	97
          d.   something else	01	02	94	97

                   I
               [SPECIFY] 	|	|	|

[IF YES TO Q40A CONTINUE; IF NO,  DK OR RE TO Q40A  —>  Q43]

41.  Is this system in a basement or crawl space?
               YES	01
               NO	02
               DK	94
               RE	97
42.  Do any ducts carrying the warm air for this system run under the house?

               YES	01
               NO	02
               DK	94
               RE	97
43.  How many fireplaces do you have?
          DK	94
          RE	97
                                         13                            March 20, 1989

-------
44a.  Do you use any of the following  humdification devices during the heating season?

               FOR EACH YES CIRCLED,  ASK:
                                          445.  Do you  use this  (NAME)	

                                                              MORE      LESS
                                                              THAN      THAN
                                                              ONCE      ONCE
                                                        DAILY  PER/WK   PER/WK   DK  RE
     a.   ultrasonic humidifier
          (PROBE:  This humidifier
          reduces water to a fine
          spray using ultrasound;
          ultrasound is inaudible
          to the human ear.)

     b.   cool mist humidifier
          (PROBE:  This humidifier
          uses the blade of a rotor to
          spray small droplets of
          water into the air.)

     c.   steam mist humidifier
          (PROBE:  This humidifier
          uses a heating coil to
          create steam.)

     d.   humidifier, DK type
Y
01
01
01
01
N DK RE
02 94 97
02 94 97
02 94 97
02 94 97
                                  01    02
                                  01    02
                                  01    02
                                  01    02
03    94   97
03
03
03
94   97
94   97
94   97
45.  Is there an air-to-air heat exchanger or heat-recovery ventilator in your home?
     (PROBE:  This is a system that blows stale  air out of the house,  brings  in fresh
     air from outside, and transfers heat from the  stale air to the fresh air.)
          YES.

          NO..

          DK..

          RE..
      .01

      .02

      .94

      .97
46.  On the average, what temperature do you usually keep your entire home in  the
     winter?  [USE MARGIN/MARGINAL NOTES TO CALCULATE AVERAGE TEMPERATURE.]
          DK.

          RE.
                           DEGREES
.94

.97
                                         14
                                               March 20,  1989

-------
 47.   Do  you have  any of  the following gas or propane fueled appliances in this home?
      [CIRCLE ONE  RESPONSE  FOR EACH ITEM.]

                              YES          NO           DK           RE
a.
b.
c.
d.
e.
f.
q.
y
h.
water heater. . . .
clothes dryer.. .
stove 	
oven 	
refrigerator 	
air conditioner.
heat pump 	
other 	
	 01 	
	 01 	
	 01 	
	 01 	
	 01 	
	 01 	
01
•••••Ux«**»««
....02.
....02.
	 02.
	 02.
.....02.
....02.
	 02.
....02.
94
• •*••••••• J^ •
94
•••••*•••• J" •
	 94.
	 94.
	 94.
Qd
• • • • • •••• • J ~ •
	 94.
	 94.
	 97
	 97
	 97
	 97
«••••••••*.?/
• • • • * * • • • • _7 /
97
• •••*•••*•_//
                            [SPECIFY] 	l_|_l



48.  Does  this  home have a  central air conditioning system?

           YES	01

           NO	02
           DK	94

           RE........97


49.  Do you use any of these other air conditioning systems?  [IF YES TO A OR B, ASK
     NUMBER USED AND ENTER  AT Q50 FOR THE APPROPRIATE ITEM(S).   IF NO TO A AND B,
     SKIP  TO Q51.]

                                        	049	
                                        DK     RE     NO    YES           NUMBER
                                                                           USED

     a.   window or wall mounted	94	97	02	01  —>    |	|	|
               unit(s)
     b.   swamp or evaporative coolers..94	97	02	01  —>    |	|	|
51.  On the average, what temperature do you usually keep your entire home in the
     summer?  [USE MARGIN/MARGINAL NOTES TO CALCULATE AVERAGE TEMPERATURE.]

          I    I    I   DEGREES
          DK	94

          RE	...97
                                         15                            March 20,  1989

-------
52a. Some stove fans or bathroom fans  simply blow air  through  a  filter,  or blow
     exhaust to an unvented attic.   They do not  blow air or  exhausts out of the
     house.  We are only interested in exhaust fans  which  are  vented to  a vented
     attic or to the outside.

     Do you use these built in exhaust fans vented to  the  outside?

               FOR EACH YES CIRCLED,  ASK:

                                      52b.   Do you use this  (NAME)...




1.





2.




3.



YES
cook stove
exhaust fans 01



YES
bathroom
exhaust fans 01


YES
clothes dryer 01



ON

02



NO

02


NO
02



DK

94



DK

94


DK
94



RE

97



RE

97


RE
97

WHENEVER
COOKSTOVE
USED

01

WHENEVER
BATHROOM
USED

01


DAILY
01
OCCASIONALLY
WHEN
COOKSTOVE
USED

02
OCCASIONALLY
WHEN
BATHROOM
USED

02

MORE THAN
ONCE PER WEEK
02
SELDOM
OR
ALMOST
NEVER

03
SELDOM
OR
ALMOST
NEVER

03
SELDOM
ALMOST
NEVER
03



DK

94



DK

94
OR

DK
94



RE

97



RE

97


RE
97
53.  Does the home have a whole house exhaust fan which blows air out of the home?
          YES	01
          NO.
          DK.
          RE.
02
94
97
—> 54a
                                         16
                                                   March 21, 1989

-------
53a. How frequently do you use the whole  house  fan  in the cooling season:
          Use every day...*	 01
          Not daily but more than once  a  week	 02
          Use regularly but less than once  a week	03
          Seldom or never use during cooling season	04
          DK	 94
          RE	 97
53b. How frequently do you use the whole house  fan  during other  seasons?
          Use every day	 01
          Not daily but more than once a week	02
          Use less than once a week	,.. 03
          Seldom or never use during other seasons	04
          DK	 94
          RE	 97
54a. Does this home have...
               FOR EACH YES CIRCLED,  ASK:
               54b.  What percent of  your  home  has  (TERM)?
                                           Y    N    DK    RE

     1.   double pane windows

     2.   storm windows

     3.   insulation in the walls

     4.   insulation in the ceiling

     5.   storm doors

     6.   weather stripping
01
01
01
01
01
01
02
02
02
02
02
02
94
94
94
94
94
94
97
97
97
97
97
97
PERCENT
     DK   RE

%    94   97

%    94   97

     94   97

     94   97

     94   97

     94   97
                                         17
       March  20,  1989

-------
55.  All things considered  regarding  the  insulation and weatherization of your  home,
     would you say that your home  is  tight,  leaky, or are you uncertain  about the
     tightness of your home?

          TIGHT	01

          LEAKY	02

          UNCERTAIN	03

          RE	97


56.  Which months of the year is your home  usually closed up  for heating season,  that
     is, your windows and doors  are usually kept  closed?
     [CIRCLE ALL THAT APPLY]

     Jan.   Feb.   Mar.   Apr.   May   June   July   Aug.   Sep.    Oct.   Nov.    Dec.

      01     02     03     04     05   06      07    08      09     10      11      12
57.  Which months of the year is your home  usually  closed  up  for cooling  season,  that
     is, your windows and doors are usually kept  closed?
     [CIRCLE ALL THAT APPLY]

     Jan.   Feb.   Mar.   Apr.    May   June   July    Aug.   Sep.    Oct.    Nov.    Dec.

      01     02     03     04     05    06      07     08      09     10     11      12
58.  During the time when your home is  usually closed  for the heating and cooling
     seasons, you may take steps to ventilate your home.   This may involve such
     things as opening windows,  or when cleaning,  cooking,  using insecticides,  etc.
     Which of the following best describes  your ventilation practices during heating
     and cooling seasons?

     Do you....

          ventilate on a daily basis	01
          not daily, but more than once a week	02
          regularly, but less than once a week	03
          only during specific activities	04

          do not ventilate at all	05

          DK	94

          RE	97
                                         18                            March 20,  1989

-------









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                                                                                                                                              o o o o o

-------
72.  Are you currently renting this home or is it owned or being bought by you?
          OWN	01
          RENT	02—>   Landlord:  	
          DK	94        Address:   	
          RE	97                   	


73.  Finally we would like to ask about any other radon testing.   Has your home been
     tested for radon in the past?
          YES	01 —>  CONTINUE
          NO	02  '
          DK	94    —>  SCRIPT 2
          RE	97  .

74. How many measurements have been taken?
             /
          DK	94
          RE	97

75.  Did (any of) the tests indicate that the radon levels in your home were high or
     elevated?
          YES	01
          NO	02
          DK	94
          RE	97

76.  Have you had anything done to reduce the levels of radon in  your home?
          YES	01  —>   CONTINUE
          NO	02 '
          DK	94    —->  SCRIPT 2
          RE	97 .
77.  What was done?
                                         21
March 20, 1989

-------
SCRIPT 2
READ TO RESPONDENT
That's all the questions I have.  There are just  two  more tasks  I  have  to  do  —  place
the detectors and get your name, mailing address,  and telephone  number.

To obtain accurate measurements, the detectors  should remain in  place for  approxi-
mately 12 months.  At that time, we will send you instructions on  how to package and
return them.  We will also send you postage-paid  envelopes for their return.
     PLACE (OTHER) DETECTOR AND ENTER INFORMATION BELOW.
          DETECTOR IDI
#1
LEVEL
                                 V   H
                                        #1.
DUPLICATE
DETECTOR ID
#2
                                 1   2    #2.
#3
                                 1   2    #3.
#4
                    01

                    02

                    03
                                     Level  One

                                     Level  Two

                                     Level  Three
CIRCLE ONE NUMBER BELOW TO INDICATE DETECTOR PLACEMENT.
PLACED BY RESPONDENT WITH INTERVIEWER DIRECTION...01

PLACED BY INTERVIEWER	02

PLACED BY RESPONDENT ALONE	03

REFUSED PLACEMENT	04

PHYSICALLY/MENTALLY INCAPACITATED	05

OTHER (EXPLAIN IN FULL BELOW)	06
                                                                   DETECTORS
                                                           Originals      Duplicates
                                            01   02  03  04

                                            01   01  01  01

                                            02   02  02  02

                                            03   03  03  03

                                            04   04  04  04

                                            05   05  05  05

                                            06   06  06  06
                                                                        01   02  03  04
                                     01   01   01  01

                                     02   02   02  02

                                     03   03   03  03

                                     04   04   04  04

                                     05   05   05  05
                                     06  06  06  06
INTERVIEWER:

WHEN YOU HAVE COMPLETED THE QUESTIONNAIRE,  COMPLETE PART E OF THE CONTROL FORM.
                                         22                            March 20,  1989

-------
           APPENDIX C
NATIONAL RESIDENTIAL RADON SURVEY
     CONTROL/SCREENING FORM

-------
March 2, 1989

CONTROL/SCREENING FORM - NATIONAL RESIDENTIAL RADON  SURVEY
             OMB Number:
             Expires:
PART A.  HOUSEHOLD IDENTIFICATION
     IF ADDED HU, CHECK HERE

     AND ENTER LINK LINE NO.
     ATTACH AND COMPLETE ADDED HU LABEL
IDENTIFICATION LABEL
PART B.  RECORD OF CALLS
Day of Week






Date






Time
am
pm
am
pm
am
pm
am
pm
am
pm
am
pm
Results






Code*






FI No.






*CODES: 10 = No Answer 31 = Vacant
11 = Appointment 32 = Not a housing unit
12 = Refused 33 = HU Demolished or moved
13 = Callback 34 = Not Year Round Residence
20 = Complete, detectors left 35 = Moving within 12 months
21 = Complete, detectors not left 36 = Other (Specify Below)
30 = Terminated
PART C.  INTRODUCTION AND SCREENING QUESTIONS
Hello.  My name is (YOUR NAME).  I'm an interviewer from Research Triangle Institute which is
located in North Carolina.  We are conducting an important research project called the National
Residential Radon Survey, which is sponsored by the U.S. Environmental Protection Agency.
You may have seen reports about radon on.TV or in the newspaper.   Many of these reports were
based on EPA sponsored State Radon Surveys.  This survey is to determine household radon
levels, nationwide.  Your household is among several from this area that have been randomly
selected through scientific sampling procedures.  Your home will  represent thousands of homes
in this part of the United States.  A letter and other materials  were sent to each household.
Did you receive these materials?  IF NOT,  HAND LETTER AND INFORMATION MATERIALS TO RESPONDENT
AND EITHER READ OR ALLOW TIME FOR READING.  SHOW SAMPLE DETECTOR  IF NECESSARY.

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First, I need to ask a few questions to find out if this  household  is  eligible for the
survey.

1.   Does anyone in this household live here at least nine or more  months out  of the year?
     IF RECENT MOVE IN - Does anyone from this household  plan to live  here nine or more
     months out of the year?

     YES	01  ->  CONTINUE.
     NO	02  •»  STOP, NOT ELIGIBLE.  ENTER CODE  34 IN PART B.

2.   Does your household have firm plans to move from this home within the next 12 months?

     YES, FIRM PLANS TO MOVE  . 01  *  STOP, NOT ELIGIBLE.  ENTER CODE  35 IN PART B.
     NO FIRM PLANS TO MOVE .  . 02  •»  CONTINUE.

Your home is eligible for the study.

To answer the questions in the questionnaire, I need to talk with the  head of the household or
another person who is responsible for the upkeep of the house.  Are you that person?

     IF "YES", CONTINUE WITH THE QUESTIONNAIRE.

     IF "NO", ASK TO SPEAK TO A KNOWLEDGEABLE INFORMANT.   IF NOT AVAILABLE, DETERMINE BEST
     TIME TO RETURN AND END.  DOCUMENT RESULT IN PART B.

     WHEN KNOWLEDGEABLE INFORMANT AVAILABLE/CONTACTED, RE-READ THE INTRODUCTION AND CONTINUE
     WITH THE QUESTIONNAIRE, PART D.


PART D.  QUESTIONNAIRE ADMINISTRATION


PART E.  RESPONDENT IDENTIFICATION

So that we can contact you about the return of the detectors, please give me your name,
correct mailing address, and telephone number.
NAME:

ADDRESS:
TELEPHONE:  (	)
In case we can't get in touch with you, we need to have the name and telephone number of some-
one who does not live with you but who will always know how to get in touch with you.

NAME:	    Phone # (	)	
Thank you for being a part of this important study.  To show our appreciation for answering
our questions and placing the 12 months detectors, we want you to have this $5.00.  So that I
may be reimbursed, please sign this receipt portion of the consent form.  RTI will send you
the rest of the incentive as soon as the detectors are received after the 12 month exposure
period.

GIVE THE INCENTIVE AND INSTRUCTION SHEET TO RESPONDENT.
HAVE RESPONDENT SIGN AND YOU COMPLETE THE INCENTIVE RECEIPT PORTION OF THE CONSENT FORM.

I am going to leave this instruction sheet with you.  This sheet has more information about
the detectors and it also has a phone number to call if you have questions now or at anytime
during the time the detectors are in place.

Thanks again for your help.

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Recycled/Recyclable •  Printed on 100% Postconsumer, Process Chlorine Free Recycled Paper
                      that has been manufactured with Wind Power

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