233R90001

I
       Technical Support Documentation for Part I
          of the National Sewage Sludge Survey
                   Notice of Availability
                  U.S. Environmental Protection Agency
                   Analysis and Evaluation Division
                        401 M Street, S.W.
                      Washington, D.C. 20460

                          October 31, 1990

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                                   PREFACE


       The Environmental Protection Agency (EPA)  announced the availability of
information and data from the National Sewage Sludge Survey (NSSS) in a Federal

Register  notice  titled  "National  Sewage  Sludge  Survey:   Availability  of

Information and Data, and Anticipated Impacts on 40 CFR Part  503."  The Agency

conducted the  NSSS  in 1988 and 1989 to  collect  current and  reliable  data to

support the development of 40  CFR Part 503 Standards for the Use and Disposal of

Sewage Sludge.   Development  of these  standards is required under Section 405(d)

of the Clean Water  Act (CWA)  of 1977,  as amended by the Water  Quality Act of
1987.  Statutory authority to  conduct the survey is  provided by CWA Section 308.


      This document provides a summary of  the survey's objective and design and
develops  the  technical  background  for the  preliminary statistical  analyses

reported in the NSSS notice of availability.

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                               TABLE OF CONTENTS

                                                                           PAGE

1.   INTRODUCTION  	      1

     1.1  DESCRIPTION OF THE NATIONAL  SEWAGE  SLUDGE SURVEY	      1
     1.2  NSSS DESIGN	      2
     1.3  ORGANIZATION OF THIS DOCUMENT	      3

2.   ESTIMATION OF THE NUMBER OF  POTWs IN  THE NATION USING EACH OF
     NINE DISPOSAL PRACTICES IN 1988	      5

     2.1  DATA CONVENTIONS	      5
     2.2  ESTIMATION OF NATIONAL  TOTALS  AND VARIANCES OF THE
          ESTIMATES	.	      7
     2.3  COMMENTS	      14

3.   ESTIMATION OF THE NUMBER OF  POTWs IN  THE NATION IN EACH OF
     FOUR FLOW RATE GROUPS.	      16

     3.1  DATA CONVENTIONS.	.....'..      16
     3.2  ESTIMATION OF NATIONAL  TOTALS  AND VARIANCES OF THE
          TOTAL ESTIMATES		      17

4.   CONCENTRATION ESTIMATES FOR  THE TWENTY-EIGHT POLLUTANTS
     OF CONCERN 	 ........      23

     4.1  CHEMICAL ANALYSIS METHODS AND  REPORTING PROCEDURES	      23
     4.2  PARAMETER ESTIMATION WITH CENSORED  DATA 	  .....      25
     4.3  POLLUTANT CONCENTRATION ESTIMATION  PROCEDURES .  	      28
     4.4  POLLUTANT CONCENTRATION ESTIMATES FOR
          THE 28 POLLUTANTS OF CONCERN	      32

5.   REFERENCES .....  	     149

6.   APPENDIX A:   DATA LISTING	     A-l

7.   APPENDIX B:   COMPUTER CODE	  .     B-l

     B-l  NATIONAL ESTIMATES OF THE NUMBER OF POTWs USING EACH OF
          NINE DISPOSAL PRACTICES 	     B-2

     B-2  NATIONAL ESTIMATES OF THE NUMBER OF POTWs IN EACH FLOW
          RATE CATEGORY	     B-3

     B-3  POLLUTANT CONCENTRATION ESTIMATES  	  . 	     B-4

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                                LIST OF TABLES


TABLE     TITLE                                                            PAGE


 2-1      DEFINITIONS OF SEWAGE SLUDGE USE  AND  DISPOSAL PRACTICES ...      6


 2-2      POTWs IN THE QUESTIONNAIRE SURVEY	      8


 2-3      LISTING OF SURVEY RESPONSES REPORTED  IN  DISPOSAL PRACTICE

          CATEGORY "OTHER"		      9


 2-4      SAMPLING FRACTIONS FOR THE QUESTIONNAIRE SURVEY

          STRATA (fjj)	      12


 2-5      NATIONAL ESTIMATES OF DISPOSAL  PRACTICE  FREQUENCIES .....     15


 3-1      POTWs IN THE QUESTIONNAIRE SURVEY .  	  .......     18


 3-2      NATIONAL ESTIMATES OF POTWs BY  AVERAGE DAILY FLOW GROUP ...     22


 4-1      FREQUENCY OF PERCENT SOLIDS IN  NATIONAL  SEWAGE SLUDGE

          SURVEY SAMPLES BY FLOW RATE GROUP	     26


 4-2      STRATA AND NATIONAL POLLUTANT CONCENTRATION ESTIMATES FROM

          THE NATIONAL SEWAGE SLUDGE SURVEY 	     33


 4-3      NATIONAL POLLUTANT CONCENTRATION  ESTIMATES  FROM THE NATIONAL

          SEWAGE SLUDGE SURVEY	     40


                                LIST OF FIGURES


FIGURE    TITLE                                                            PAGE


          PERCENT SOLIDS OF NSSS SAMPLES  VERSUS POLLUTANT CONCENTRATIONS:


 4-1      ALDRIN-Dry Weight	      47

 4-2      ALDRIN-Wet Weight	      48

 4-3      ARSENIC-Dry Weight	      49

 4-4      ARSENIC-Wet Weight	      50

 4-5      BENZENE-Dry Weight	 .      51

 4-6      BENZENE-Wet Weight	      52

 4-7      BENZO(A)PYRENE-Dry Weight	      53

 4-8      BENZO(A)PYRENE-Wet Weight	      54

 4-9      BERYLLIUM-Dry Weight 	      55

 4-10     BERYLLIUM-Wet Weight 	      56

 4-11     BIS(2-ETHYLHEXYL)PHTHALATE-Dry  Weight	      57

 4-12     BIS(2-ETHYLHEXYL)PHTHALATE-Wet  Weight.  .  	  .....      58

 4-13     CADMIUM-Dry Weight 	      59

 4-14     CADMIUM-Wet Weight 	      60

 4-15     CHLORDANE-Dry Weight 	      61

 4-16     CHLORDANE-Wet Weight	 .      62

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                          LIST OF FIGURES  (Continued)

FIGURE    TITLE                                                            PAGE

 4-17     CHROMIUM-Dry Weight	.  .       63
 4-18     CHROMIUM-Wet Weight. .	       64
 4-19     COPPER-Dry Weight	       65
 4-20     COPPER-Wet Weight.	  .       66
 4-21     DIELDRIN-Dry Weight	       67
 4-22     DIELDRIN-Wet Weight	       68
 4-23     HEPTACHLOR-Dry Weight	       69
 4-24     HEPTACHLOR-Wet Weight	       70
 4-25     HEXACHLOROBENZENE-Dry Weight 	       71
 4-26     HEXACHLOROBENZENE-Wet Weight 	       72
 4-27     HEXACHLOROBUTADIENE-Dry Weight 	       73
 4-28     HEXACHLOROBUTADIENE-Wet Weight 	       74
 4-29     LEAD-Dry Weight	       75
 4-30   (  LEAD-Wet Weight	       76
 4-31   '  LINDANE (GAMMA-BHC)-Dry Weight 	       77
 4-32     LINDANE (GAMMA-BHC)-Wet Weight 	       78
 4-33     MERCURY-Dry Weight  	       79
 4-34     MERCURY-Wet Weight  	       80
 4-35     MOLYBDENUM-Dry Weight	       81
 4-36     MOLYBDENUM-Wet Weight	       82
 4-37     N-NITROSODIMETHYLAMINE-Dry Weight	       83
 4-38     N-NITROSODIMETHYLAMINE-Wet Weight	       84
 4-39     NICKEL-Dry Weight	       85
 4-40     NICKEL-Wet Weight	       86
 4-41     PCB-1016-Dry Weight	       87
 4-42     PCB-1016-Wet Weight	       88
 4-43     PCB-1221-Dry Weight	       89
 4-44     PCB-1221-Wet Weight	  .  .  .       90
 4-45     PCB-1232-Dry Weight	       91
 4-46     PCB-1232-Wet Weight	       92
 4-47     PCB-1242-Dry Weight	       93
 4-48     PCB-1242-Wet Weight	       94
 4-49     PCB-1248-Dry Weight	       95
 4-50     PCB-1248-Wet Weight	       96
 4-51     PCB-1254-Dry Weight	       97
 4-52     PCB-1254-Wet Weight	       98
 4-53     PCB-1260-Dry Weight	       99
 4-54     PCB-1260-Wet Weight	      100
 4-55     SELENIUM-Dry Weight	      101
 4-56     SELENIUM-Wet Weight	      102
 4-57     TOXAPHENE-Dry Weight	      103
 4-58     TOXAPHENE-Wet Weight	      104
 4-59     TRICHLOROETHENE-Dry Weight .	      105
 4-60     TRICHLOROETHENE-Wet Weight	      106
 4-61     ZINC-Dry Weight	      107
 4-62     ZINC-Wet Weight	      108
 4-63     4,4-DDD-Dry Weight  	 ........  	      109

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                          LIST OF FIGURES (Continued)

FIGURE    TITLE                                                            PAGE

 4-64     4,4-DDD-Wet Weight  	  ........      110
 4-65     4,4-DDE-Dry Weight  ."	  .      Ill
 4-66     4,4-DDE-Wet Weight	      112
 4-67     4,4-DDT-Dry Weight  	      113
 4-68     4,4-DDT-Wet Weight  	      114

          CUMULATIVE DISTRIBUTION FUNCTIONS;

 4-69     ALDRIN	      115
 4-70     ARSENIC	      116
 4-71     BENZENE		      117
 4-72 .    BENZO(A)PYRENE	      118
 4-73     BERYLLIUM	      119
 4-74     BIS(2-ETHYLHEXYL)PHTHALATE  	      120
 4-75     CADMIUM	      121
 4-76     CHLORDANE	      122
 4-77     CHROMIUM	      123
 4-78     COPPER	'	      124
 4-79     DIELDRIN	      125
 4-80     HEPTACHLOR	      126
 4-81     HEXACHLOROBENZENE	      127
 4-82     HEXACHLOROBUTADIENE	      128
 4-83     LEAD	      129
 4-84     LINDANE (GAMMA-BHC)	      130
 4-85     MERCURY	      131
 4-86     MOLYBDENUM	      132
 4-87     N-NITROSODIMETHYLAMINE	      133
 4-88     NICKEL	      134
 4-89     PCB-1016	      135
 4-90     PCB-1221	      136
 4-91     PCB-1232	      137
 4-92     PCB-1242	      138
 4-93     PCB-1248	      139
 4-94     PCB-1254	      140
 4-95     PCB-1260	      141
 4-96     SELENIUM	      142
 4-97     TOXAPHENE	      143
 4-98     TRICHLOROETHENE	      144
 4-99     ZINC	      145
 4-100    4,4-DDD	      146
 4-101    4,4-DDE	      147
 4-102    4,4-DDT	      148

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                             EXHIBITS:  APPENDIX B

EXHIBIT  TITLE                                                              PAGE

B-l      ESTIMATION OF THE  NUMBER OF POTWs BY DISPOSAL
         PRACTICE—SAS ALGORITHM 	 ......     B- 8

B-2      ESTIMATION OF THE  NUMBER OF POTWs BY FLOW RATE
B-3

B-4
B-5
B-6
B-7
B-8

B-9
B-10
CREATION OF A NSSS ANALYTICAL DATA BASE SUBSET
CONTAINING THE POLLUTANTS OF CONCERN — SAS ALGORITHM 	
CREATION OF A FLAT FILE FROM SUBSET DATA — SAS ALGORITHM . . .
IMPORTING OF THE NSSS DATA INTO SYSTAT — SYSTAT ALGORITHM. . .
PRODUCTION OF MLEs USING NLIN MODULE — SYSTAT ALGORITHM. . . .
CREATION OF A SAS DATASET CONTAINING MLEs — SAS ALGORITHM. . .
CREATION OF ONE SAS FILE CONTAINING MLEs FROM BOTH
MINIMIZATION TECHNIQUES — SAS ALGORITHM 	 	
LISTING OF MLEs ........ 	 .....
NATIONAL POLLUTANT CONCENTRATION ESTIMATES — SAS ALGORITHM . .
u u. /
B-23
B-26
B-29
B-31
B-33

B-37
B-40
B-51
                                       VI

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                               1.  INTRODUCTION


    Pursuant to Section 405(d)  of the Clean Water Act  (CWA) of 1977, as amended
by the  Water Quality Act  of  1987,  the Environmental  Protection Agency  (EPA)
proposed a regulation for the final  use and disposal of sewage sludge.  For the
purpose of the proposed  40 CFR Part  503 Standards  for the Use and Disposal of
Sewage Sludge (54 Federal Register 5746-5902; February 6,  1989), the Agency used
1979-1980  pollutant  concentration  data obtained  from  the  "40  City Study."
Although the "40  City Study" provided a reasonable data source  for proposing the
Part 503 regulation,  the EPA believed that a  current and  reliable data base was
required to  support  the final  regulation.    The Agency  conducted the National
Sewage Sludge Survey (NSSS) to fulfill this requirement.

    The NSSS data collection effort  began in August  1988 and  was completed in
September 1989. Samples of  final process sewage sludge  were collected just prior
to use or disposal from 180 publicly owned treatment works (POTWs) practicing at
least secondary treatment of wastewater.  These samples were analyzed for over
400 pollutants according to  analytical protocols  adapted specifically for the
sewage sludge matrix.  In addition, through the use  of  a detailed questionnaire,
information  on sewage  sludge use and disposal and operational  practices was
collected  from 462  secondary treatment POTWs.   The availability of  data and
information  resulting  from the NSSS was announced by the  Agency in  a Federal
Register  notice  titled  "National  Sewage  Sludge  Survey:  Availability  of
Information and Data, and Anticipated Impacts on 40 CFR Part 503."  Preliminary
statistics estimated from NSSS data concerning the number of POTWs in the Nation
using each of nine sewage sludge use and disposal practices in  1988 are reported
in the  notice of NSSS data availability.   Also  reported in the notice are
concentration estimates from  the NSSS analytical survey for the 28 pollutants of
concern listed in the proposed Part 503 regulation.

    This document provides  the technical background that  supports  the production
of the preliminary NSSS estimates reported in the notice of availability.  As an
introduction to the  technical portion of this document, this section provides a
description of the NSSS and its design.

1.1 DESCRIPTION OF THE NATIONAL SEWAGE SLUDGE SURVEY

    The  1988  NSSS  was  conducted  to  collect  sludge  quality   and  pollutant
occurrence data  that describe  sewage  sludge  just  prior to use  and  disposal.
Sludge quality data were augmented with 1988 information concerning sewage sludge
generation and treatment processes, current and alternate sludge use and disposal
practices, and treatment  and disposal cost data.  These data, which resulted from
a national probability sample of POTWs practicing secondary or advanced treatment
of wastewater, provide reliable and  current  data that can be  used to evaluate
risk-based pollutant limitations; to conduct regulatory impact analysis (RIA);
and to  develop the  aggregate risk  analysis  (ARA)  for the  final regulation.
These data will also be used to identify pollutants that will  be controlled in
the subsequent amendments to Part 503.

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1.2 NSSS DESIGN

    Because the proposed 40 CFR Part 503 Standards for the Use and Disposal of
Sewage Sludge establishes requirements  for the final use and disposal of sewage
sludge and applies to publicly and  privately owned  treatment  works that treat
domestic sewage and to any person who uses or disposes of sewage sludge from such
treatment works, the target population for the NSSS was POTWs in the Nation that
practice  at  least secondary wastewater  treatment.    Operationally,  secondary
treatment was defined  as a primary clarification process followed by biological
treatment and secondary clarification.   The sampling frame for the NSSS effort
was defined by excluding POTWs with  "Present Effluent Characteristics" codes of
"No Discharge,"  "Raw Discharge," and "Advance Primary"  from the  EPA Office of
Municipal Pollution Control's 1986 NEEDS Survey.   These exclusions resulted in
a sampling frame of 11,407 secondary treatment POTWs  in the  50  States,  Puerto
Rico, and the District of Columbia.

    The  NSSS effort  consisted  of  a  questionnaire and  an analytical  survey
component.   Each component  survey  had  its  own  probability  sample of POTWs
selected from the sampling frame  of  11,407 secondary treatment POTWs identified
by the Agency.  The two  probability  samples are related in that a POTW included
in the probability sample for  the analytical survey was  also included  in the
questionnaire survey.

    The sampling plan  for the questionnaire survey was designed to allow survey
results to be analyzed separately by flow rate group and by sewage  sludge  use and
disposal practice.  The sampling frame was partitioned  into  24  strata. These
strata, created by joint stratification  across four categories of wastewater flow
rate and  six use and  disposal practices created  from data in the  1986 NEEDS
Survey, are defined as follows:

   POTW average daily  flow rate categories:

    -  Flow greater than 100 million gallons per day (MGD)
    -  Flow more than  10 MGD but less than or equal to 100 MGD
       Flow more than  1 MGD but less than or equal to 10 MGD
       Flow less than  or equal to 1 MGD.

   POTW sewage sludge  use and disposal  practice groups:

       Land application
       Distribution and marketing
    -  Incineration
    -  Monofill  (sewage sludge only landfill)
       Co-disposal landfill and other
    -  Ocean disposal.

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    The sample size for each of  the  24  strata was statistically determined to
minimize marginal coefficients  of variation  for estimating attributes under the
assumption that a particular attribute is distributed hypergeometricly.  A total
of 479  POTWs was selected  randomly  from the  sampling frame to  comprise the
questionnaire  survey  sample.    Each  POTW  in  the sample was  sent  a  50-page
questionnaire  containing  general  operation  and  disposal  practice  specific
questions.   General information gathered  by the  questionnaire  concerned the
following:  service area,  POTW  operating information, general sewage sludge use
and disposal practices, pretreatment  activities,  wastewater and sewage sludge
testing  frequencies,  and  POTW  financial  information.   POTWs  also  supplied
disposal practice specific information and  indicated which practice(s) would be
likely alternatives. The data base created from returned questionnaires contains
responses from 462 POTWs.

    POTWs in the analytical  survey were  restricted to the contiguous States and
the District of Columbia.  All POTWs in the  analytical survey also were included
in the  questionnaire  survey.   A total  of  208 POTWs  from  the  four  flow rate
categories  was  selected  for sampling and  analysis.   EPA  contract  personnel
collected sewage sludge samples just  prior to disposal  from  each POTW according
to sampling  and  preservation  protocols.  Contract  laboratories  analyzed each
sample  for  412  analytes.    The  list  of 'tested organics, pesticides,  metals,
dibenzofurans,   dioxins,  and PCBs  was  compiled  from  the  CWA  Section  307(a)
priority pollutants, toxic compounds highlighted in the Domestic Sewage Study,
RCRA Appendix VIII pollutants,  and contaminants of suspected concern in municipal
sludge.  Analytical methods  1624  and  1625 were adapted  from  standard methods to
allow volatile  and  semi-volatile organic  analytes to  be quantified  from the
sludge matrix.   Pesticides and  PCBs were analyzed  by method  1618; dibenzofurans
and dioxins were quantified using method 1613; and metals, other inorganics, and
classicals were  analyzed by standard EPA methods.  All analytical methods were
either developed, chosen,  or adapted for the sewage sludge matrix to provide the
most reliable and accurate measurement of the 412 analytes. Analytical data from
180 POTWs are recorded in the NSSS data base.

    Printed or  computer copies (nine-track tape) of the questionnaire survey data
base are available from the National  Technical  Information Service  (NTIS), 5285
Port Royal Road,  Springfield, Virginia,  22161.  When ordering printed copies of
the questionnaire data  (PB 90-107509;  cost $97.95)  or the analytical data  (PB 90-
107491; cost $139.95),  specify  the PB number.  Computer  tapes, written under the
OS operating system in  SAS transportable code at  1600  bpi with logical record
lengths of 80 and block sizes of 8000, should be readable by CMS, VSE,  AOS/VS,
PRIMOS, and VMS.  The NTIS order number for the NSSS data tape is PB 90-501834
and the current price is $220.   A data element dictionary containing definitions
and specifications for all NSSS variables is also  available  (PB 90-198961; cost
$23.)
1.3 ORGANIZATION OF THIS DOCUMENT

    Sections 2 and 3 of this technical  support document report estimates of the
number of POTWs in the Nation in 1988 by use and disposal practice and by flow
rate group,  respectively.   Each of  these sections  records  data conventions,
assumptions, and the statistical methods used to produce these estimates  from the

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stratified  questionnaire  survey  data.    Procedures and  assumptions used  to
estimate pollutant  concentrations from  the  NSSS  analytical  survey  data are
presented in section 4.  Tabulated  concentration estimates for the 28 pollutants
of concern  for  which limitations  are  proposed in  Part  503 are  augmented  by
graphical presentations  of results in section 4.  A listing of concentration data
for these 28 pollutants can be found in appendix A.  Finally,  program listings
of computer algorithms used to produce reported estimates are located in appendix
B.

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              2.  ESTIMATION OF  THE NUMBER OF POTWs  IN  THE NATION
                   USING EACH OF NINE DISPOSAL PRACTICES IN 1988

    Point and interval estimates of the number of secondary treatment POTWs in
the Nation using each  of nine disposal practices in 1988 are  included in the
National Sewage  Sludge  Survey  (NSSS)  notice of  availability.    This  section
provides the technical  background for the production of the reported estimates.
Data conventions and definitions of key variables are provided in section 2.1.
The statistical formulae defining the  point estimator of the  total  number of
POTWs in the  Nation  from  the NSSS stratified random sample data and the variance
of  the  total  estimate are cited in  section  2.2.   Resulting estimates and
confidence intervals are also  presented in section 2.2.  The computer algorithm
developed to  incorporate these  formulae is found in exhibit B-l,  appendix B.
Finally, comments concerning a specific result are provided in section 2.3.

2.1 DATA CONVENTIONS

    Prior to defining survey strata for sampling design purposes,  the disposal
practice used by each of  the 11,407 secondary treatment POTWs identified by the
Agency was determined from information reported in the 1986 NEEDS Survey.  Six
disposal practices  were  identified.    These practices, referred to  as survey
disposal practices,  are (1) land  application, (2) distribution and marketing, (3)
incineration,  (4) monofill, (5)  co-disposal  landfill,  and  (6)  ocean disposal.
The cross-classification of these  six  disposal  practices,  along  with the four
levels of average daily flow rate, were  used to partition the  sampling frame into
24 mutually exclusive  strata.   From  these 24 strata,  a total  of  479  POTWs was
randomly selected to comprise the questionnaire survey sample.  Survey stratum
identifications for each POTW  in the  sample  are  important to  data  analyses
because (1)  the stratum number indicates the sampling fraction to be assigned to
the POTW's  data for statistical  estimation procedures,  and (2)  the  disposal
practice component of the stratum number indicates the POTW's disposal practice
option reported in the 1986 NEEDS Survey.

    POTWs in the questionnaire survey reported the practice(s)  used to dispose
of sewage sludge in 1988 in question 24 of the survey document.  This question
instructed the participant to  record the wet weight of  sewage sludge disposed of
by each of nine disposal practices.  The first six of these nine practices are
the same as the survey  disposal practices listed above.  The remaining three are
(7) co-incineration, (8) surface disposal,  and  (9) other.   These nine disposal
practices are referred to as reported  disposal practices. Sewage sludge disposal
options for 1988 were expanded to include the three additional practices listed
in question 24 because  not  all of the POTWs responding  to the survey used one of
the six 1986  NEEDS Survey based disposal options.  Definitions of the first eight
reported disposal practices,  as  defined in  the  questionnaire,  are provided in
table 2-1.

    The 1988 reported disposal practice for each of the  462 respondent POTWs was
determined from question 24.  If a POTW used  multiple disposal practices, the
practice used to dispose  of the largest percentage of sewage sludge was assigned
as the major  disposal practice.  Of the  17 POTWs that did not  return a completed

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                                  TABLE 2-1.

            DEFINITIONS  OF  SEWAGE  SLUDGE USE AND DISPOSAL  PRACTICES

Land Application  -  The  application of liquid, dewatered,  dried,  or composted
sewage sludge to the land by  surface spraying, surface spreading, or subsurface
injection.   Sludge  may  be  applied to  land  intended for a number  of  end uses
including,  but  not  limited  to,   cropland,  pasture,  commercially  grown turf,
silviculture, land  for  reclamation,  and dedicated  sites.   The sludge  may be
applied by the POTW or by a distributor or end user under a contract or similar
control mechanism with  the POTW.   Note that in this definition,  the  POTW has
direct control over the application of sewage sludge.

Distribution and Marketing - The give-away,  transfer,  or sale of sewage sludge
or sewage sludge product (e.g., composted sludge  product)  in either bagged or
bulk form.   The POTW does  not apply the sludge and the end-user  applying the
sludge is not under the  direct control of the POTW.  Note that  a label or notice
provided with the sewage sludge does not constitute direct control.

Sewage Sludge Incineration - The  treatment  of  sewage  sludge  exclusively in an
enclosed device using controlled flame combustion.  Includes all sewage sludge
incinerators on site  and also, those  facilities transporting sewage sludge to
another facility that operates sewage sludge incinerators.

Monofill -  A controlled area of  land that  contains one or more  sewage sludge
units.   A sewage sludge  unit  is defined as a controlled  area of land where only
sewage sludge is placed. The sludge is covered with a cover material at the end
of each operating day or at more frequent intervals.

Co-Disposal  Landfill  -  An  area  of land or  an excavation  that is  used for the
permanent disposal of solid waste,  residuals, and sewage sludges.  These include,
but  are  not  limited to,   municipal  landfills that accept sewage  sludge for
disposal in  conjunction with other waste materials.

Ocean Disposal - Dumping or controlled release of  sewage sludge from a barge or
other vessel into marine water.

Co-Incineration - The combined treatment of  sewage sludge and  combustible waste
materials (e.g., trash  and other  municipal  solid  waste)  in an enclosed device
using controlled flame  combustion.

Surface Disposal - A controlled  area of land where only  sewage sludge is placed
for a period of one year or longer. Sludge placed in this area is not provided
with a daily or  final cover. (Surface disposal areas may become naturally covered
with vegetation as a  result of seed drift).   Surface disposal does not include
areas where  sludge has  formed or is currently being formed and being deposited
as a result of ongoing treatment  (e.g., finishing  ponds).  Surface disposal can
be a natural topographical  depression,  man-made excavation or  diked area formed
primarily of earthen material designed to  store (not treat) sewage  sludge  for a
period of one year or  longer.   Surface disposal also includes placement of sludge
in piles for a  period of one year or more,  as a means of disposal.

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questionnaire, 4 POTWs  were  determined to be out of business.   Another three
POTWs were classified as being ineligible because they did not perform secondary
treatment  of  wastewater.   No  responses were obtained  from 11  POTWs  despite
several  followup  contacts.     The  reported  disposal  practice  for  the  11
nonrespondent POTWs was assumed to be the survey disposal practice reported in
the 1986 NEEDS Survey.  That  is,  for the purpose of estimating the total number
of POTWs in the Nation using each of the nine disposal practices in 1988, it was
assumed that no change in disposal practice occurred between 1986 and 1988 for
survey nonrespondents.

    Some POTWs that disposed of sewage sludge in lagoons indicated in question
24 that their major disposal practice in 1988 was surface disposal.  Other POTWs
listed "sludge lagoon" under  the "other" disposal practice category of question
24.  For the purpose of this analysis,  POTWs recording "sludge lagoon" under the
"other" option have  been  classified as using surface disposal as  their major
disposal practice for 1988.  Copies of the data and POTW schematics from these
facilities currently are being reviewed by the EPA to  determine if sewage sludge
was disposed of in lagoons after  secondary treatment or whether sewage sludge was
lagooned as a form of wastewater treatment.

    The number of POTWs  for each of the  six survey disposal practices in the NSSS
sample is recorded by reported major disposal practice in table 2-2.   Cells on
the diagonal in table  2-2 indicate the number of POTWs in the sample that did not
change practices from 1986 to 1988.

    Twenty-four POTWs in  the  questionnaire survey  indicated  that they  used
"other" disposal practices.  The  disposal  practices  listed by  these  POTWs are
presented in table 2-3.  Nine of  the  24  POTWs  that  indicated  "other"  disposal
practices were also in the  analytical survey.  Trip reports  completed by the EPA
contractor who obtained  sewage sludge samples for the analytical survey indicated
that all nine POTWs used one of the first six major disposal practices listed in
table 2-1.  The Agency is currently  reviewing copies  of the data and schematics
from the 24 POTWs to determine if a more definitive 1988 disposal practice can
be assigned. Since the currently available information for these POTWs indicates
"other " disposal practices, the "other" category was retained for estimating the
number of POTWs in the Nation by disposal practices.

2.2 ESTIMATION OF NATIONAL TOTALS AND VARIANCES OF THE  ESTIMATES

    Estimates of the total number of POTWs in the Nation in 1988  using each of
the  nine  disposal options and the  variances  of these total estimates  were
generated based on methods  listed in Cochran (1977, p. 143,  equations 5A.67 and
5A.68) for estimating totals over subpopulations.  For a  given reported disposal
practice, the number of POTWs in the Nation was first estimated from NSSS data
for each of the 24  design  strata.  Strata estimates were then summed to produce
national  estimates.   Before  the equations from which these estimates  were
generated are defined, some notational  conventions are first established on the
pages 10 and 11.

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                        TABLE 2-3.


LISTING OF SURVEY RESPONSES REPORTED IN DISPOSAL PRACTICE

                     CATEGORY "OTHER"
             Response                 Number of POTWs
         Composting                          1

         Discharged                         11
         Drying  Bed                          1

         New Facility                         1

         Private Contractor                   1
         Storage                             1

         Stored  Off-Site                      1
         To  Other POTW                       1

         To  Regional Plant                    1

         Transferred                          5
         Total                               24

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Subscript notation:

     i =  Design flow rate group based  on  average daily flow rate reported  in
          1986 NEEDS Survey where {i = 1,  2,  3,  4} is defined as

          1 = FLOW > 100 million gallons per day  (MGD)

          2 = 10 < FLOW s 100 MGD

          3 = 1 < FLOW <.  10 MGD

          4 = FLOW <. 1 MGD.

     j =  Design disposal practice group based  on 1986 NEEDS Survey responses
          where {j = 1, 2, 3, 4, 5, 6} is defined as

          1 = land application

          2 = distribution and marketing

          3 = incineration

          4 = monofill

          5 = co-disposal landfill

          6 = ocean disposal.

    ij =  Survey design stratum created  by crossing the four levels of flow rate
          group with the six disposal practices. Thus,  ij  = 23 implies  that the
          POTW  was  classified based  on 1986 NEEDS  Survey data  as  having  an
          average daily flow rate less than or equal to 100 MGD but more than  10
          MGD and incinerating its sludge
          {ij = 11, 12, 13,...,16, 21, 22,...,26,...,41,...,44, 45,  46}.

    k =   Designates the kth  POTW in  the ijth design stratum
          {k =  1, 2, 3, . . . ,n,-j}

    r =   Major disposal practice determined form the 1988 NSSS where
          {r =  1, 2, 3, 4, 5, 6, 7, 8, 9,  10, 11} are defined as

          1 = land application

          2 = distribution and marketing

          3 = incineration

          4 = monofill

          5 = co-disposal landfill

          6 = ocean disposal

                                      10

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Continuation of the definition of the subscript r where


    r =   Major disposal practice determined form the  1988  NSSS


          7 = co-incineration


          8 = surface disposal


          9 = other


         10 = out of business


         11 = ineligible.


Define


Yijkr   = 1  if tne kth  POTW in  the  ij   design stratum reported the r   practice
            as its major disposal practice

       = 0  otherwise


  NJJ   = the number of POTWs in the ijth stratum of the sampling frame


  njj   = the number of POTWs in the ijth stratum of the sample


  fjj   = the sampling fraction for the  ij   stratum where
    Sampling fraction values for the 24 survey strata  are  listed  in  table 2-4.


    To estimate the total number of POTWs in 1988 using  each of the nine disposal

practices, the number of POTWs  using a given disposal practice was estimated for

each survey  stratum.   The national estimate was  then  obtained by summing  the
strata estimates.  That is,
                                           '
    Since yjjkr equals 1 if the kth POTW in the ijth survey  stratum  reported the

rth  disposal  practice  in 1988  and  is  0  otherwise,  then the  sum of y\frr over the
index k determines the number  of POTWs  in  the  cell where the ijth row intersects

the rth column  in a  cross  tabulation  of the survey  stratum versus  reported

disposal practice.  Denote the number of  POTWs in this cell as n,-jr where  nj,-r ^
iMj.
                                      11

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    Therefore,  the equation  for  estimating  the  national total  for  the r

disposal practice  in 1988 can be written as
                                                                             th
                                     46
                          .th
    The variance for the rtn disposal practice estimated total is
                                            £y2^-^
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    The value (1 - fjj) is the finite population correction factor.  Again,  since
Yijkr takes  on  the values of  1  or 0 to  designate  the use of  the  r   disposal

practice, then the sum of Yjj^r2  over  the  index  k is'equal  to  njjr, which is also
equal to the sum of Yjj^p over the index  k.  Therefore, the variance estimator can

be expressed as

                          ij-ll
                                                      ir
    For computational simplicity, define
                                        n,
and
    The variance of the total estimate can now be written  as
v(:
                                  N*
    This final expression of the variance of the estimate of the total was used
for estimate computation  (Appendix B).
                                       13

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    Ninety-five percent  confidence  intervals  were produced  for  the estimated
total number of POTWs in the Nation using each  of the nine disposal practices in
1988 from the following formula:
    Table 2-5 records resulting point and interval estimates.

2 . 3 COMMENTS

    Nineteen out of 20 POTWs reporting ocean disposal in the 1986 NEEDS Survey
were sampled for the NSSS.  In view of this,  the estimated total number of POTWs
in the Nation using  ocean disposal in  1988  appears  excessive.   The reason the
estimate is excessive can be  attributed primarily  to one POTW.  Table 2-2 shows
that there are two POTWs that reported using ocean disposal in 1988 that were not
identified as using ocean disposal from 1986 NEEDS  Survey information.  One POTW
that reported using ocean disposal  in 1988 was classified as using incineration
from 1986 NEEDS  Survey information.   Since the 1986 NEEDS Survey classification
determines the sampling fraction assigned to the POTW,  the sampling fraction for
this facility is f33  = 27/61.   Therefore,  this  POTW added  l/f33 or 2  to the
estimated total  number of POTWs using ocean disposal in 1988.  However, the other
POTW that  reported  using ocean disposal  in 1988  was  classified  from the 1986
NEEDS Survey as  using co-disposal landfill.  The sampling fraction for the survey
stratum to which this POTW belonged was f45 = 80/7421.   This POTW added  I/ £45 or
93 POTWs to  the estimated  total  of POTWs using ocean disposal  in 1988.   This
change in disposal practice was noted  while the questionnaire data base was being
developed.   Followup contact with  the POTW indicated that ocean disposal was
indeed used in  1988.
                                      14

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                  ESTIMATION  OF  THE  NUMBER  OF  POTWs  IN  THE  NATION
                        IN  EACH  OF FOUR  FLOW RATE  GROUPS
    Point and interval estimates of the number of secondary treatment POTWs in
the Nation in each of four flow rate groups in 1988 are reported in the notice
of availability.   This  section provides  a  basis for  the production  of the
reported estimates.   Data  conventions and definitions  of key  variables are
provided in section 3.1.   The  statistical f.ormulae defining the point estimator
of the  total  number of POTWs  from  the stratified NSSS random  sample  and the
variance of the total estimate are cited in section 3.2. Resulting estimates and
confidence intervals are also  presented in  section 3.2.  The computer algorithm
developed to incorporate these formulae is  found  in exhibit B-2,  appendix  B.

3.1 DATA CONVENTIONS

    For sampling purposes, each  secondary  treatment  POTW  in  the NSSS sampling
frame of 11,407 POTWs was  categorized into one of  four flow rate groups based on
information reported  in the  1986  NEEDS Survey.    These  flow rate  groups are
referred to as survey design groups and are defined as

    1 =    FLOW > 100 million gallons per day (MGD)

    2 =    10 < FLOW s 100 MGD

    3 =    1 < FLOW <  10 MGD

    4 =    FLOW s 1 MGD.

    The cross-classification of these four levels  of average daily flow rate with
the six disposal practices  were used to partition the sampling  frame  into 24
mutually exclusive  strata.    From  these 24 strata,  a total  of  479  POTWs was
randomly selected to comprise the questionnaire survey sample.

    The average daily flow rate in 1988 for each  of the 462 respondent POTWs in
the questionnaire survey was extracted from question 9B.   These data were then
categorized into  one of  four flow rate groups.   The categories  for 1988 reported
flow rate groups are the same ones that were used to categorize the 1986 NEEDS
Survey flow rate groups.  As mentioned in section 2,  four of the 17 POTWs that
did not return a  completed questionnaire were  determined to be out of business.
Another three POTWs  were  classified as being ineligible  because they  did not
perform secondary treatment of wastewater.   No responses were obtained from 11
POTWs despite several  followup contacts.  The reported flow rate group for these
11 nonrespondents was  assumed to be the flow rate group  determined from 1986
NEEDS Survey data.   That is, for the purpose of estimating the total number of
POTWs in each flow rate group during 1988,  it was  assumed that the average daily
flow  rate  classification  did not  change  between  1986   and  1988  for  survey
nonrespondents.
                                      16

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    The number of POTWs  in the NSSS sample in each 1988  based  flow rate group is
recorded by 1986 NEEDS Survey based  flow  rate group in  table  3-1.  Cells on the
diagonal in table 3-1 indicate the number of POTWs in the sample that did not
change average daily flow rate categories from 1986 to 1988.

3.2 ESTIMATION OF NATIONAL TOTALS AND VARIANCES OF THE TOTAL ESTIMATES

    Estimates of the  total  number of POTWs in the Nation  in each  of the four
reported flow  rate groups  and the  variances  of  these  total  estimates  were
generated based on methods  listed  in  Cochran  (1977, p.  143, equations 5A.67 and
5A.68) for  estimating totals over subpopulations.  For a given  reported flow rate
group, the number of POTWs  in the Nation  was first estimated  for each of the 24
strata. Strata estimates were then summed  to produce  national estimates.   The
equations from which these  estimates  were generated are defined below; however,
some notational conventions are established first.

Subscript notation:

    i =    Design flow rate group based on average daily flow rate reported in
           1986 NEEDS Survey where {i = 1,  2, 3,  4} is defined as

           1 = FLOW > 100 million gallons per day (MGD)

           2 = 10 < FLOW < 100 MGD

           3 = 1 < FLOW <. 10 MGD

           4 = FLOW s 1 MGD.
     j =   Design disposal practice group based on 1986 NEEDS Survey responses
           where {j = 1, 2, 3, 4, 5, 6} is defined as

           1 = land application

           2 = distribution and marketing

           3 = incineration

           4 = monofill

           5 = co-disposal landfill

           6 = ocean disposal.
     ij =  Survey design  stratum  created by crossing the  four  levels of flow
           rate group  with  the six disposal practices. Thus,  ij  = 23 implies
           that the  POTW was  classified based on  1986  NEEDS  Survey data as
           having an average daily flow rate less than or equal to 100 MGD but
           more than 10 MGD and incinerated its sludge
           {ij = 11, 12,  13,...,16, 21, 22,...,26, ...,41,...,44, 45,  46}.


                                     17

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Subscript notation (continued):

    k =    Designates the kth POTW in the ijth design stratum
           {k = 1, 2, 3, . . .,n,-j}.

    r =    Reported flow rate group determined form the  1988  NSSS where
           {r = 1, 2, 3, 4,  5, 6} are defined as

           1 = FLOW > 100 million gallons per day  (MGD)

           2 = 10 < FLOW <. 100 MGD

           3 = 1 < FLOW <.  10 MGD

           4 = FLOW S 1 MGD

           5 = out of business

           6 = ineligible

Define

Yijkr   = 1 if the kth  POTW  in the  ijth design stratum reported the rth flow rate
           group
       = 0 otherwise.

  NJJ  = the  number of  POTWs  in the ijth stratum of  the sampling  frame.

  njj  = the  number of  POTWs  in the ijth stratum of  the sample.

  f,-j  = the  sampling  fraction for  the ij   stratum  where
    Sampling fraction values  for each  survey  stratum are listed in table 2-4.

    To estimate the total number of POTWs in 1988 using each  flow rate group, the
number of  POTWs  used in a given flow  rate group was  first estimated  for each
survey stratum.  The national estimate was then obtained by summing the strata
estimates. That  is,
                                       19

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Since
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otherwise, then the sum of yjj|
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    The final expression of the variance of the estimate of the total was used
for estimate computation (appendix B).

    Ninety-five percent confidence intervals were produced for the 1988 estimated
total number of POTWs in the Nation in each of the four flow rate groups using
the following formula:


                               Yz ± 1.96*V(yr)1*.


    Resulting point and interval estimates are recorded in table 3-2.
                                      21

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    4.  CONCENTRATION ESTIMATES FOR THE TWENTY-EIGHT POLLUTANTS OF CONCERN

    Pollutant  concentration  expected  values  and  standard  deviations  for  28
pollutants  of  concern  are reported  in  the  Federal  Register notice  titled
"National  Sewage  Sludge  Survey:  Availability  of  Information  and Data,  and
Anticipates Impacts on 40 CFR  Part  503."   Concentration estimates are reported
for these pollutants because these are the pollutants that the Agency proposed
to  regulate,  in the  February 6,  1989 Federal  Register,  based  on  toxicity,
persistence, and health and environmental risk.  Reported estimates were produced
from National Sewage Sludge Survey (NSSS)  pollutant concentration data using a
modified  maximum  likelihood  estimation  technique with  the  assumption  that
pollutant concentrations  follow a  lognormal distribution.   Procedures used to
quantify and report pollutant concentrations from NSSS samples and the techniques
used to estimate flow rate group and national pollutant concentrations from the
data are discussed in this section.

    Chemical  analysis methods  were  adapted  specifically  for   the  NSSS  to
facilitate reliable measurement of pollutants  from the sludge matrix  (US EPA,
1989B).  These methods and the procedure for reporting  results are discussed in
section 4.1.  Because some pollutants  were not detected in concentrations above
the  minimum  level   of   detection,  NSSS  analytical  data  contains  censored
observations.  An evaluation of the statistical methods available for analyzing
data that contain quantitative and censored observations is presented in section
4.2.  A discussion of the  statistical procedures and assumptions used to estimate
pollutant concentrations  from NSSS data is provided in section 4.3.   Finally,
tabulated pollutant  concentration estimates for the 28 pollutants of concern and
graphical presentations of results are found in section 4.4.
4.1 CHEMICAL ANALYSIS METHODS AND REPORTING PROCEDURES
    Samples of final process sewage sludge, collected prior to disposal from the
180 secondary  treatment  POTWs  in the stratified NSSS  analytical  survey,  were
tested by  EPA contract  laboratories for  412  analytes.    The  list  of  tested
analytes, which includes volatile and semi-volatile organics, metals, pesticides,
dibenzofurans, dioxins, and PCBs, was  formed from the CWA Section 307(a) priority
pollutants, toxic compounds highlighted in the Domestic Sewage Sludge Study, RCRA
Appendix VIII  pollutants,  and  contaminants of suspected  concern  in  municipal
sludge.  Specific analytical protocols were developed for the NSSS to facilitate
reliable measurement of pollutant concentrations from the sludge matrix.  Methods
1624  and  1625 for  quantifying volatile  and  semi-volatile organic  analytes,
respectively, were  augmented with gel permeation procedures for sample cleanup.
Likewise,  ultrasonic  techniques  in  conjunction  with extraction  procedures
increased the  precision  and  accuracy of  pesticides,  PCBs,  dibenzofurans,  and
dioxin concentration determinations.  Each analyte was assigned a minimum level,
a  form of  "detection  limit"   used  by  the Agency,  in the analytical  method
protocol.

    If an  analyte  was  quantified above  the  minimum  level,  as  adjusted  for
interferences, the  measured concentration  in dry weight units is reported under

                                      23

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the variable "AMOUNT"  in the NSSS data base.  However, if analytical testing did
not yield a concentration above the minimum level,  the dry weight value of the
minimum level is recorded for the sample in the variable "DETLIMIT."   Minimum
level, as  applied to  the  determination of pollutants by  gas  chromatography
combined with  mass spectrometry  (GCMS),  is defined  by the  EPA's  Industrial
Technology Division  as  the level at which the entire analytical system shall
give recognizable mass  spectra and acceptable calibration points.   In the NSSS,
the minimum level is roughly equivalent to the minimum concentration or amount
of pollutant that could be measured.

    NSSS pollutant concentrations  and minimum levels were reported in dry weight
units due to differences  in the solids  contents of sludge samples.  A pollutant
concentration reported in dry weight units is a function of the sample's percent
solids.  Percent  solids range  from  less than  1 percent to 100 percent in NSSS
samples. A standardized reporting unit allows all sludges to be evaluated on the
same basis with respect to  pollutant loads.  Implicit in this form of reporting
is that pollutants are associated with the solid phase of sludge.

    Dry weight and wet weight NSSS pollutant concentrations are plotted against
percent solids for each of the pollutants of concern in figures  4-1 through 4-68.
These graphics are located at the end of section 4.  A density of 1 is assumed
for conversions.   Dry weight pollutant concentrations  against  sample percent
solids are displayed by the odd-numbered figures.  Even-numbered figures present
wet weight pollutant concentrations  plotted  against  sample percent solids.  For
a given  pollutant,  the wet weight  plot generally  illustrates  that pollutant
concentrations detected above the  minimum level tend to  increase with increasing
percent solids.  However, when  dry weight concentrations for the same pollutant
are plotted against percent solids,  this increasing  trend  is no longer evident.
That is,  dry weight pollutant concentrations  appear to be randomly dispersed with
respect  to percent  solids.   Since  the  conversion  from wet  to  dry  weight
concentration  takes  into account   percent  solids,  this  random  dispersion of
detected pollutant concentrations reinforces the assertion that  differing percent
solids  sludge samples can be  evaluated  on  the  same  basis  with  respect to
pollutant load if dry weight measurements are  used in the analyses.

    For any given analyte,  the values recorded  under the variable  "DETLIMIT" are
not constant.  A  constant  value would  imply that  a fixed  volume or  amount was
tested for all samples with no  dilution of the sample or extract and that there
was no matrix effect (ie.,  interference from the sludge sample).  This was not
the case.  All analytical protocols  specified the volume or amount of sludge to
be tested.   However, when matrix interferences prevented accurate determination
of pollutant concentration, samples were diluted with reagent water and analyzed.
The purpose of dilution was to negate matrix effects.  The minimum level for a
diluted sample was raised  by the  dilution  factor,  however.   For example,  if a
sample was  diluted  by  a  factor of 10, then the minimal level was raised by a
factor of 10.  Analytical protocols  provided explicit guidance as to the limits
of dilution.

    Likewise,  the  reporting   of  analytical  results  in  units  per  kilogram
influences the values  reported in the data base.   As mentioned previously, the
percent solids of NSSS samples range from 1 to 100  percent.   Because the dry
weight pollutant concentrations and minimum levels  are a function of the percent

                                      24

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solids in a sample, the  range  in  percent  solids  also  is reflected in reported
pollutant concentrations  or minimum levels. For example, assuming that there was
no dilution of  samples and that the same quantity of sludge was tested, the value
recorded under "DETLIMIT" for a sample with 1 percent solids would be 10 times
higher than that reported for a sample with 10 percent  solids.  This is because
it would take 10 times the quantity of the  1 percent solids sample to produce the
same amount of solids in the 10 percent solids sample.

    Figure 4-34 illustrates the wet weight of mercury for NSSS samples.  Mercury
concentrations detected above the minimum level are distinguished by the triangle
symbol and defined in the exhibit key as "Above Minimum Level."   This contrasts
the samples that were not measured above the minimum level that are identified
by the symbol  'x' and are listed in the exhibit  key as minimum levels.   Notice
that the majority of "nondetect"  samples  have 0.01  mg/1 as the minimum level.
The effect  of  sample percent  solids  on  the  dry weight  reporting  of  mercury
minimum levels is illustrated by the plot of dry weight mercury concentrations
in figure 4-33.

    Because POTWs in the  NSSS were sampled according to flow rate  strata, a test
was performed to determine if there was a statistical association between flow
rate group  and a categorical variable created from percent  solids  data.   The
levels of the percent solids categorical variable were greater than 30 percent
solids, between 1 and  30  percent  solids, and  less than  1 percent solids.  These
three percent  solids categories  were  selected to parallel  the percent solids
categories that differentiate  sample preparation  procedures in the analytical
protocols.  The cross-tabulation of these  two variables  is  listed in table 4-1.

    The statistical test  of association  incorporated the ordinal nature of both
variables.  Specifically, a Chi-square  statistic with one  degree of freedom was
calculated by squaring the z-score determined  from the difference in the number
of concordant  and  discordant  pairs.   The number of  concordant and discordant
pairs was  determined  according to  the  method listed  in a  monograph  by  B.S.
Everitt titled  The Analysis of Contingency  Tables  (1977).  Standard error for the
estimate of the difference in concordant and discordant pairs was derived using
the delta method under the assumption that  the difference between concordant and
discordant pairs is 0.   This Chi-square test with one  degree  of  freedom  is a
consistent test against  monotonic departures from the null hypothesis that the
two variables are distributed independently.

    The calculated z-score from this test was 0.5675  and the Chi-square value is
0.3221.  The attained significance value for this statistic is more than 0.5 but
less than 0.9.   Therefore,  there is insufficient evidence  to  reject  the  null
hypothesis  that  the distribution  of  percent solids  and  flow rate group are
independent.

4.2    PARAMETER ESTIMATION  WITH CENSORED  DATA

    When an analyte  is  not  measured above  the  minimum level,  the  data  point
recording the  dry  weight minimum  level  for that  sample  is  considered  "left
censored."  Left censoring implies that the  analyte concentration in  a sample
falls within a  restricted range. That is, the concentration in the sample is less
                                      25

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                                TABLE 4-1.


FREQUENCY OF  PERCENT  SOLIDS IN NATIONAL  SEWAGE  SLUDGE  SURVEY  SAMPLES
                            BY FLOW RATE  GROUP
 1986 NEEDS based
    Flow Rate
     Group
Frequency
Percent
Row Pet
Col Pet
>100 MGD
10-100 MGD
1-10 MGD
s1 MGD
P<
>30%
9
4.50
34.62
14.52
16
8.00
26.23
25.81
22
11.00
31.43
35.48
15
7.50
34.88
24.19
:rcent So
1%-30%
17
8.50
65.38
13.28
45
22.50
73.77
35.16
44
22.00
62.86
34.38
22
11.00
51.16
17.19
ids
<1%
0
0.00
0.00
0.00
0
0.00
0.00
0.00
4
2.00
5.71
40.00
6
3.00
13.95
60.00
TOTAL 62 128 10
31.00 64.00 5.00
total
26
13.00
61
30.50
70
35.00
h
43
21.50
h
200
100.00
                                     26

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than or  "to  the  left  of"  the minimum level value.  When  the censoring points
(ie., dry weight  minimum  levels)  differ because of differences  in the sludge
matrix,  the data are considered to be multicensored.

    Several  statistical  methods  are   available   for  estimating  pollutant
concentration  descriptive  statistics when  the data  contain multiple censor
points.   The most commonly  applied methods include (1)  ignoring the censored
observations, (2) setting  all censored observations  equal to  0, and (3) setting
the  censored  observation  to  either  the  minimum  limit  of  detection  or  some
fraction of the limit  of detection.   Ignoring censored data will usually result
in descriptive  statistics that overestimate true pollutant concentration values.
Setting censored  data points to 0 will underestimate true pollutant concentration
values.    Equating  censored points  to  the  minimum level  of detection  will
overestimate pollutant concentrations.

    Other methods  for estimating multicensored data  exist  but  are  used  less
frequently. Generally, these methods  consist of "fill-in"  and  maximum likelihood
procedures.  "Fill-in"  procedures  replace  censored  data  points  with pollutant
concentrations that have been estimated from the measured or noncensored data
points.   In maximum likelihood procedures developed by Cohen (1959),  pollutant
concentrations are estimated by maximizing likelihood equations that incorporate
both the data measured above the minimum level and censored data point values.

    Eight procedures  for  calculating descriptive  statistics from  data with a
single  censor  point value  were  evaluated by  Gilliom  and Helsel  of  the  U.S.
Geological Survey (USGS) in 1986.  These procedures  included simple substitution,
"fill-in," and maximum likelihood techniques.   Monte Carlo  experiments  with
singularly censored data from distributions that mimic the distribution of water
quality measures  were  used to evaluate the accuracy and  reliability  of the eight
methods.  Simulation results indicated that simple substitution methods produce
biased and highly variable  estimates.   The maximum  likelihood  procedure and a
probability  plotting   "fill-in  "  procedure,  performed  on   natural  logarithm
transformed data, produced the lowest errors of estimation.  That is,  estimated
statistics were the closest to the known population values.   The most reliable
estimates of the mean  and standard deviation were produced  by the probability
plotting procedure, while  the maximum likelihood technique  produced  the  best
median and percentile estimates.  Application of these techniques to  actual water
quality data confirmed these conclusions.

    In 1988,  Helsel  and Cohn of the USGS extended their  study to include multiple
censor points.   Two approaches to  producing estimates  were  used  in this later
study.  In the first approach, the maximum value of  the multiple censor points
was determined,  and single  censor techniques were  applied using this maximum
value.   In the second approach,  methods were  evaluated  using  multiple censor
points.   The methods using multiple censor points  were shown to be better than
the  application  of single  censor methods.   Conclusions  in the  presence  of
multiple censor points were  the same as those drawn from the studies with single
censor points.   Although the  "fill-in"  procedure  is more robust  to departures
from  lognormality,  the maximum  likelihood technique  is  more desirable  when
lognormality of the distribution of  pollutants  can  be  assumed.   In their  1988
publication,  Helsel and Cohn state,  "When utilized correctly,  "less than' values

                                      27

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frequently contain nearly as much  information for estimating population moments
and quantiles as would the same observation had the detection limit been below
them."

4.3 POLLUTANT CONCENTRATION ESTIMATION PROCEDURES

    Pollutant concentration descriptive statistics for the NSSS were estimated
as weighted functions of  estimates from each of the four flow rate  strata in the
survey design.  Stratum estimates  were produced using the multiple censor point
maximum likelihood technique.  This technique, which requires the assumption that
pollutant  concentrations  follow a lognormal  distribution,  was the  method of
choice for two reasons: (1)  the  lognormal distribution  is commonly used because
it generally  provides a good approximation  to the distribution  of pollutant
concentrations, and  (2)  there was an insufficient number  of  samples detected
above the minimum level to use the "fill-in" technique for some strata.
    For the ith flow rate stratum, maximum likelihood estimates (MLE)  of the mean
(/^•)  and variance (o j)  of  pi
the following loss function:
     and variance (o2,-)  of  pollutant  concentration were obtained by minimizing
     LOSS,- = -
    Note that  minimizing this loss  function  is tantamount  to  maximizing the
likelihood function.   In the loss function expression, In(Xjj)  is the natural
logarithm transform of the pollutant concentration for the jth sample from the
ith stratum.  The first  indicator  function  I(Xjj > ML)  takes on the value 1 if
the pollutant concentration  from the jth  sample  from the  ith flow rate stratum
is greater  than the minimum level  and  0  if otherwise.   The second indicator
function, I(X,-j  <. ML), has a value of 1 if the pollutant concentration in the ij
sample  is  not  measured  above  the  minimum level  and  0 if it  is.   Therefore,
observations above  the minimum level enter the  loss  function  in the standard
fashion.   On  the  other  hand,  censored  observations  contribute to  the loss
function through the lognormal cumulative distribution function.

    Iterative  techniques were used to  determine values of  the  mean (f*\) and
variance (o2,-) that minimize the loss function  for pollutant concentrations from
the ith  stratum.  The first technique,  known as the Simplex algorithm, employs
direct  search   techniques  and does  not  require a Hessian  matrix  of   second
derivatives  to determine  the  step direction of  each  iteration.   The  second
technique, the  Quasi-Newton algorithm, makes use of information in the Hessian
matrix.    Quasi-Newton  algorithms approximate  the  Hessian  matrix at each
iteration.   A  singular  or  nondefined  Hessian  matrix  precludes  parameter
estimation.
                                      28

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    Several runs were made using both minimization techniques to estimate the MLE
concentrations for each stratum.  The runs differed  in the values of the mean and
variance  supplied  to  the  algorithms as  starting  points.   Regardless of the
starting points, the  same  MLEs were produced from  each  run provided that the
stratum  had at  least  one noncensored  data point.    That  is,  for  a given
pollutant*stratum, the same MLEs resulted from both  minimization techniques from
each series of  starting values.   These  estimates  are  listed in exhibit B-9 of
appendix B.  When  all data points were  censored,  the  resulting MLEs were not
unique.  These estimates are listed  as missing in exhibit B-9.

    Functions of the  maximum likelihood mean and  variance  estimates for each
pollutant*stratum  were  exponentiated  to  determine   the   mean,   or  expected
concentration value of  X,-  and the variance of Xj.   The variable  X,- designates
pollutant concentration from the  ith flow rate stratum from the survey  design.
Again, Xj is assumed to be  distributed lognormally.  For a given pollutant, the
expected pollutant concentration E(Xj) and variance V(Xj) for  each stratum were
estimated as follows:
                             E(Xi] =
                                                (exp(d2
    In this  expression,
is the MLE of the  ith stratum mean,  and a2,-  is  the
                                              (a2,-)
                                      th
adjusted MLE of the variance for the i  stratum.  The MLE of the variance
was multiplied  by  a  factor of nj/(n,--l) where n,-  is the number of  independent
samples in the ith  stratum.  This adjustment was made to correct for  bias  in the
MLE estimate of the variance.

    National  pollutant concentration  estimates  were  calculated  as weighted
estimates of the expected pollutant concentrations  and variances of each stratum.
These estimates were only produced for the 17  pollutants  having all  four  strata
estimates.   The stratum weights,  denoted  Wj ,  are  determined from Nj/N where  Nj
is the number of secondary POTWs in the i   flow rate stratum  in the analytical
sampling frame, and N  is the total number of  POTWs  in the sampling  frame.

    Stratum weights for the analytical survey are listed below.
Stratum
1 = FLOW > 100 MGD
2 = 10 < FLOW < 100 MGD
3 = 1 < FLOW s 10 MGD
4 = FLOW <. 1 MGD
N,-/N
28/11,
324/11,
1,927/11,
9,067/11,

346
346
346
346
Weight
wi = 0.002
w2 = 0.029
w3 = 0.170
WA = 0.799
29

-------
    National expected pollutant concentrations E(X) were calculated as
                               E(X)  = £ WiE(Xj) .
                                     i-1
    Pollutant concentration variance V(X)  was estimated as  a  function of within
and between strata variance components.  The  estimator  used for NSSS pollutants
will first be motivated by an expression of the unbiased estimate of population
variance based on proportional stratified  sampling.  This expression, listed  in
Sampling Survey Methods and Theory, Volume II (Hansen,  Hurwitz,  and Madow,  1953,
page 138 ), is
                                  L  nh

                                  h  i
where
                                      n-
    The subscript h designates the stratum while the subscript i indicates the
i   observation  in the  stratum.  S M defines the weighted sum of within-stratum
variances for the random variable X.
    Under proportional stratified sampling
                                         N
where n^ is the sample size for stratum h  and  n  is the  sum of sample  sizes  over
all strata.  Likewise,  N^ is the number  of elements in the sampling frame stratum
and N is the total number of elements  in the  sampling  frame.  N  is obtained  by
summing N^, over all strata.

    The sampling  fraction,  f^,  is the same for  all  strata under proportional
stratification since for every  stratum

                                N,
nh _ Nh _ nh _  n    f _ f
   ~         ~  -_    £ h ~ *- •
                           n
N
          N
                                          N
Therefore,
                                        N n
                                      30

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can be expressed as


                                    J. 	   h

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                            L  ""  w         L        w 2









The first term in this variance  expression  can be written as




                              L n"  w      _   _

                              h i-l  h




which equals



                              " h .    	 « ->   *T^  / 	  	1 ->
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    After combining like terms,  the  variance estimate is written as


                         L                         L
where



                               c-2  _ V^ (Xhi~xh)
defines the within-stratum variance component.  The second term in the expression

for the variance estimator  is  the  between strata sums of squares.


    Therefore, pollutant  concentration variance was estimated from the NSSS as


                     4       w                   *-
              V(X)  = V V(X.) —± (n,
                     f=i       "i
                                       31

-------
4.4 POLLUTANT CONCENTRATION ESTIMATES FOR THE 28 POLLUTANTS OF CONCERN
    Estimates  of  pollutant   concentration  means,  standard  deviations,  and
coefficients of variation produced using the methods described in section 4.3 are
listed for  the 28 pollutants of  concern in table  4.2.   Actually,  table 4.2
reports concentration estimates for 34 pollutants because  seven PCB congeners
were analyzed as part of the NSSS.

    Of the  17  pollutants for  which  national pollutant  concentration estimates
were produced from the NSSS data,  pollutants with higher detection rates tended
to have the smaller coefficients of  variation.  One pollutant, PCB-1254, had an
unrealistic estimate.  Although this pollutant was  detected  above the minimum
level about 8  percent of the  time,  it  was detected  at  concentrations about 10
times higher than the minimum level values in each  stratum.   This resulted in
large MLEs  of  strata  variances that are  used to produce  estimates of both the
expected value of the pollutant  concentration  E(X) and the variance of the
pollutant concentration V(X).  Review of the  raw data strongly suggests that the
assumption  that  pollutant  concentration is  distributed  lognormally is not
applicable  in the case of PCB-1254.

    Estimates  of  pollutant   concentration  means,  standard  deviations,  and
coefficients of  variation  were also  generated  from the NSSS data  using two
substitution methods  for censored  data.   These  estimates were  produced for
comparison with estimates generated  from  the multicensored lognormal procedure.
In the first substitution method, the  minimum level value  was substituted for
observations that were censored.  In  the second method, censored data points were
replaced by the value  0.  For both methods, national estimates were then produced
as weighted combinations of arithmetic stratum estimates.   The weights applied
are those  listed  in  section  4.3.   An estimate of the  between strata variance
component,   as  discussed in  section 4.3, was  incorporated into  the national
estimate of pollutant concentration variance.   Arithmetic estimates using both
substitution methods for  censored  data and the  estimates  produced by the
multicensored  lognormal procedure are listed in table  4-3.

    Estimates of the mean pollutant  concentration produced using the assumption
of lognormality were  found to be generally lower than  estimates generated when
the minimum level was  substituted for censored data.  On the  other hand, the mean
pollutant concentration estimated under the assumption of lognormality was higher
than estimates produced when no pollutant was assumed  to be present in samples
from  which the  pollutant  was  not detected  above the  minimum  level.    The
exceptions  to this are bis(2-ethylhexyl)  phthalate,  copper, the three PCBs with
detection rates greater than zero, and  zinc.  Mean estimates produced under the
assumption  of  lognormality  are weighted linear combinations  of exponentiated
functions of stratum MLEs of  pollutant  concentration means and variances.  That
is, an estimate of the lognormal variance is incorporated into the estimate of
the stratum mean estimate under the assumption of lognormality. Mean estimates
resulting from the substitution methods do not incorporate a variance term.
                                      32

-------
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       Estimates produced under the assumption that the pollutant was not present
when pollutant concentration was not measured above the minimum level in a sample
are designated as SM-0 in table 4-3.  For this substitution method, the estimated
pollutant concentration mean and standard deviation  should be zero when none of
the tested samples were measured above the pollutant minimum level.  This was the
case for  8 of the  13  analytes with percent  detects  listed as  zero.  For the
remaining  five analytes with  a  reported  detection rate  of  zero, the  means and
standard deviations estimated using this substitution method are not zero.  That
is because for these five pollutants — benzene, chlordane, heptachlor, lindane,
and 4,4'-DDD — some samples were detected above the minimum level in some of the
strata samples.  However, these stratum detection rates were  low,  as evidence by
the number  of  detected  samples reported by stratum in  table 4-2.  When these
stratum detection rates were  multiplied  by  their respective stratum  weight to
determine the  national detection rate, the  resulting  reported  rates  were very
small and  therefore rounded to  zero.   Thus,  a national  detection rate of zero
does not necessarily imply that the pollutant was  not detected above the minimum
level in any of the samples.

    Graphical presentations of cumulative distribution functions estimated under
the assumption of   lognormality and  using the two  nonparametric substitution
procedures can be found in figures 4-69  through 4-102, located at the end of this
section.  Plotted concentration values do not necessarily  represent observed data
points.  Rather,  they  represent  incremental pollutant concentration values that
were chosen to span the  full  range of data for a pollutant.  Therefore, plotted
on the horizontal axis is the probability that pollutant  concentration  in sewage
sludge is at most the  corresponding concentration plotted in the vertical axis.
That is,


            fraction of POTWs less than concentration =  Fx(c) = P[X<.c]
where X is the pollutant  concentration  random  variable  and c is the pollutant
concentration value plotted on the vertical axis.

    The estimated lognormal cumulative distribution functions used to determine
the fraction of POTWs with sludge  containing at most the concentration "c" of a
pollutant  assume  that  the concentration  of  a  pollutant  follows  a  national
lognormal distribution.  That is,  it was assumed that the cumulative distribution
function for a given pollutant could be expressed as

                      Fx(c) =
    Note that the estimated values  of  ^ and  o are not subscripted.  For a given
pollutant, the national estimate of o was obtained by equating the squared value
of the estimated pollutant concentration coeffient of variation (CV)  to the
                                      45

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lognormal expression for the squared coefficent of variation and solving for a ,
as noted below.


                       CVZ = exp(o2)-! - a2 =
    Likewise, the estimate of  n was obtained for a pollutant  by equating the
estimated national pollutant concentration mean to the lognormal expression of
the mean and solving for n.


                       X = exp(M+-|-a2)  - A = lnU)--|d2.
    Therefore, graphical  presentations  of the cumulative  lognormal functions
assume that the weighted sum of the strata lognormal distributions also follows
a lognormal distribution.  This premise  is based on the work of Barakat (1976),
who demonstrated  with given  conditions that the  sum of  a finite  number of
independent   lognormal   random   variables   retains   lognormal  distributional
characteristics.   Tests  using  Monte  Carlo simulations  are  currently  being
designed to  evaluate this  assumption as  applied  to the  cumulative lognormal
distribution  functions for NSSS pollutant concentrations.

    The  nonparametric   cumulative  distributions  were   estimated  for  each
substitution  method  as weighted  linear  combinations  of  the stratum cumulative
distribution  functions.  That is,
                                                            4
          fraction of POTWs less than concentration = Fx(c) = ^ w^F^. (c)
                                                           2-1

where
    The  cumulative  distribution plots  clearly  illustrate how  the estimation
method influences conclusions.  For example, observe the cumulative distribution
functions for beryllium  in  figure  4-73.   The national detection rate for this
metal was 23 percent.  When the minimum level is substituted for observations
that are censored,  the cumulative  distribution  defined  by the triangle symbol
indicates that  approximately  56  percent  of  secondary  treatment  POTWs would
dispose of sewage sludge containing at most 1  milligram per kilogram  (mg/kg) of
beryllium.  On  the  other hand,  the cumulative distribution function estimated
under the multicensored  lognormal  assumption suggests that  95  percent of the
POTWs dispose  of sludge containing at  most  1  mg/kg of  beryllium.   This is
determined from the plot  defined by the symbol "x."  Finally,  when it  is  assumed
that samples contained no pollutant if the pollutant was not measured above the
minimum level,  then  the graph depicted by the symbol  "o" suggests that 99  percent
of secondary treatment POTWs in the Nation dispose of sewage sludge that contains
at most  1 mg/kg of  beryllium.


                                      46

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                                    Figures 4-1 through 4-102
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                                5.   REFERENCES
Barakat, Richard.  1976.   "Sums of Independent  Lognormally  Distributed Random
   Variables." Journal of the Optical Society of America. Vol.  66, No. 3  (March).
   211-216.

Cochran, W.G.  1977.  Sampling Techniques.  Third edition. John Wiley & Sons, Inc.,
   New York, NY.

Cohen, A. Clifford, Jr. 1959. "Simplified Estimators for the Normal Distribution
   When Samples are Singly  Censored or Truncated." Technometrics. Vol.  1, No. 3
   (August). 217-37.

Everitt, B.S.  1977.  The Analysis of Contingency Tables. John Wiley & Sons, Inc.,
   New York, NY.

Gilliom, Robert J.  and D.R.  Helsel.   1986.    "Estimation  of  Distributional
   Parameters  for   Censored Trace Level Water  Quality  Data.   1.  Estimation
   Techniques." Water Resources Research. Vol.  22, No. 2 (February).  135-146.

Hansen, M.H.,  W.N.  Hurwitz, and W.G.  Madow.  1953.  Sample Survey Method and
   Theory Volume II; Theory. John Wiley & Sons, Inc., New York,  NY.

Helsel, D.R. and T.A.  Cohn.  1988.  "Estimation of Descriptive Statistics from
   Multi-Censored Water Quality Data." Water Resources Research. Vol.  24,  No.
   12.  (December).  1997-2004.

Helsel, D.R.,  and R.J. Gilliom.  1986.  "Estimation of Distributional Parameters
   for  Censored   Trace  Level  Water   Quality  Data.  2.   Verification  and
   Applications."  Water Resources Research.  Vol. 22,  No. 2 (February). 147-155.

U.S.  Environmental  Protection  Agency.  (1989A).  Standards for the Disposal of
   Sewage Sludge; Proposed Rule (40 CFR Parts 257 and 503).  (February).

U.S.   Environmental  Protection Agency.  (1989B).    Analytical  Methods  for  the
   National Sewage  Sludge Survey.  Industrial  Technology   Division,  Office  of
   Water Regulations and Standards.

U.S.   Environmental  Protection Agency.  (1988).  Supporting  Statement  for  the
   National Sewage  Sludge Survey.  (August).
                                      149

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 APPENDIX A

DATA LISTING
    A-l

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                                  APPENDIX A

    POLLUTANT CONCENTRATION DATA LISTING  FOR THE 28 POLLUTANTS OF  CONCERN

      Pollutant concentration data for the 28 pollutants of concern listed in the
proposed 40 CFR  Part  503 Standards for the Use and Disposal of Sewage Sludge (54
Federal Register 5746-5902; February 6,1989) are presented here. These data were
used to  produce the  flow rate stratum  and national pollutant  concentration
estimates reported in the notice of availability.

      Data listed here  were  extracted from the National  Sewage  Sludge Survey
(NSSS)  analytical data base and edited. Edits  were performed to

            (a)    Delete  data  from samples of  sludge  that had  only  received
                  primary treatment.  These samples are indicated  in  the  NSSS
                  data base as PRI_SLG='T.'

            (b)    Average the  variable  AMOUNT for  duplicate  samples.  These
                  samples  were  indicated in  the  NSSS  by   the  variable
                  DUPFLAG='T.'   The  variable DETLIMIT  was  also  averaged  for
                  duplicate samples.  Average values can be distinguished in the
                  data listing  by those observations for which the sample number
                  is blank.

            (c)    Transform  AMOUNT  to  the  natural  logarithm  scale.   This
                  information is recorded under the  variable LNAMOUNT. Likewise,
                  the natural logarithm transform of DETLIMIT is recorded in the
                  variable LNDL.

      Pollutants are referred to as analytes in the NSSS  analytical data base.
Observations are presented in  appendix A  by analyte  and  stratum.  The recorded
stratum number designates  the survey design flow rate group from which the sample
was obtained.  Because data are  reported for   seven  polychlorinated biphenyls
(PCBs), appendix A lists pollutant concentration data for 34 analytes.
                                     A-2

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                                    A-150

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 APPENDIX  B





COMPUTER CODE
     B-l

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                                 APPENDIX B

                                COMPUTER CODE

    Program listings of SAS and SYSTAT code written to produce disposal practice,
flow rate  group,  and  pollutant concentration  estimates  from  the  stratified
National Sewage  Sludge Survey  (NSSS)  questionnaire  and  analytical  data  are
presented in this appendix.  Resulting estimates are reported in the notice of
availability.  Assumptions about the distribution of the data, methods used to
generate stratum estimates, and the weighting  of  stratum  estimates  to produce
national estimates are discussed in more detail in  preceding sections of this
document.

    The computer algorithm designed to generate national estimates of the number
of secondary treatment  Publicly Owned Treatment Works (POTWs)  in  1988 using each
of nine sewage sludge use  and  disposal  practices  is presented in section B.I.
The number of POTWs in the  nation in each  of the  four average daily flow rate
groups was  estimated  using the  SAS computer  code  presented in  section B.2.
Presented in  section  B.3 are  a  series of  SAS  and  SYSTAT algorithms  used to
estimate pollutant concentrations for 28 pollutants  of concern.
B.I NATIONAL  ESTIMATES  OF THE  NUMBER OF  POTWs USING  EACH OF  NINE DISPOSAL
    PRACTICES
    Estimates of the number of secondary treatment POTWs in 1988 using each of
the nine reported use and disposal  practices were produced by the computer code
listed  in  exhibit  B-l.   More  detailed explanations  of the  assumptions  and
procedures used  to  generate the estimates are  provided in section  2  of this
document.

    Because data were collected from a stratified survey, national estimates were
produced  by  summing  weighted  strata  estimates.    The  following steps  were
conducted to generate estimates:

    (1) The  major  disposal  practice  used by  each  POTW  in  the sample  was
    determined from responses to question 24 in the questionnaire.  The amount
    of sludge recorded for each disposal practice was summed and the method used
    to  dispose  of  the  largest  fraction of  sludge was  determined for  each
    facility. This  information  was stored in  the variable ACTDISP.   ACTDISP
    could assume 1 of 11 values.  The first nine values correspond to the nine
    disposal practices  listed in question 24.  The value 10  for  ACTDISP  was
    assigned to  POTWs  that  were out of business.    POTWs that  were ineligible
    because they performed  only  primary  treatment  of  sludge  were  assigned  the
    value of 11.  If a facility's major disposal practice was determined to be
    "Other"  and the  POTW  indicated  that sludge  was disposed of  in  sludge
    lagoons,   the POTW's  major   disposal  practice was  classified as  surface
    disposal for the purpose  of  this analysis.  The disposal  practice  used in
    1988 for  POTWs  that  did  not respond to  the  NSSS  was  assumed to  be  the
    disposal practice reported in the 1986 NEEDS Survey.

                                     B-2

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    (2)  The survey design  stratum  to  which a POTW was assigned  based on 1986
    NEEDS Survey data was determined by extracting the first two digits of the
    variable  SURVEYID.     There  are  24  such  strata that  were  created  by
    partitioning the  sampling frame across the four flow rate groups and the six
    use and disposal  practices  based on information reported in the 1986 NEEDS
    Survey.  The  first  digit of  SURVEYID, the  unique  identifier variable for
    POTWs in the NSSS, corresponds to the 1986 flow rate  group classification.
    The survey design flow rate  group for six POTWs is edited  in  the code to
    correct a misclassification at the time SURVEYIDs were assigned.  The second
    digit of SURVEYID records the disposal practice that a POTW reported in th€i
    1986 NEEDS  Survey.   The 24 level variable  created  by this extraction process!
    was labelled SSTRATUM.

    (3)  A cross-tabulation of the variables SSTRATUM and  ACTDISP was performed
    to determine the number of POTWs  in the  sample that reported using  the jth
    disposal practice in 1988 (j  = 1,...,11) given that the POTW was in the ijth
    stratum (ij=  11,12, . . . ,46)  of  the sample.   The number  of POTWs  in the
    population was estimated for  each  cell by multiplying the cell count by the
    inverse of  the sampling fraction corresponding to the value of SSTRATUM. The
    number of POTWs  in  the Nation  using the  jth disposal practice  in 1988 was
    obtained by summing the estimated number of POTWs in  the  population that
    reported using the j  disposal practice across  all  levels of  SSTRATUM.  The
    variance of these estimates was  calculated  in a like manner.  Estimates and
    95-percent confidence limits  for the estimates were reported in the Notice
    of Availability.
B.2 NATIONAL ESTIMATES OF THE NUMBER OF POTWs IN EACH FLOW RATE CATEGORY

    The computer code listed  in exhibit B-2 was written to estimate the national
number of secondary treatment POTWs in 1988 in each of the four flow rate groups.
More detailed  explanations  of assumptions and  methods  used  to  produce these
estimates are provided in section 3.

    Because the survey was stratified,  national estimates are produced by summing
weighted strata estimates.  These estimates were produced through the following
steps:

    (1) Reported flow rate group for each POTW was determined from the average
    daily flow response to question 9B in the questionnaire.  Information from
    question 9B  was  categorized  into  one of four  groups.    These  groups are
    defined below:

                           FLOW RATE GROUP
                        1 = FLOW > 100 MGD

                        2 = 10 < FLOW <; 100

                        3 = 1 < FLOW <. 10

                        4 = FLOW <. 1 MGD.

                                      B-3

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    This information was  recorded  under the variable REPFLOW.   REPFLOW could
    assume one of  six values.  The first four values  correspond to the four flow
    rate groups.   The value 5 for REPFLOW was assigned to  POTWs that were out of
    business.  POTWs that were  ineligible  because they performed only primary
    treatment of  sludge were  assigned the value of 6.  The flow rate group used
    in 1988  for POTWs  that did  not respond to the  NSSS  was  assumed  to be the
    flow rate  group determined  from information reported  in  the  1986  NEEDS
    Survey.

    (2) The  survey  design stratum  to which a POTW  was assigned  based on 1986
    NEEDS Survey  data was determined by extracting the first two digits of the
    variable  SURVEYID.   There are  24  such  strata that  were  created  by
    partitioning  the sampling frame across the four flow rate  groups and the six
    use and disposal practices based on information reported in the 1986 NEEDS
    Survey.  The  first digit of SURVEYID,  the unique identifier variable for
    POTWs in the  NSSS,  corresponds to the 1986 flow rate group classification.
    The survey design  flow rate group for  six POTWs  is  edited  in  the code to
    correct a misclassification  at  the time SURVEYIDs were assigned.  The second
    digit of SURVEYID records the disposal  practice  that  a POTW reported in the
    1986 NEEDS Survey.   The 24 level variable created by this extraction process
    was labelled  SSTRATUM.

    3) A cross-tabulation of  the variables SSTRATUM and REPFLOW was performed to
    determine the number of POTWs in  the  sample that reported using the ith flow
    rate group in 1988  (i = 1,...,6)  given that the POTW was in  the ijth stratum
    (ij= 11,12,...,46)  of the sample.  The number of  POTWs in the population was
    estimated for each  cell by multiplying  the cell  count by the inverse of the
    sampling fraction  corresponding  to  the value of  SSTRATUM.   The  number of
    POTWs  in the  nation  in  the ith  flow rate group  in  1988 was  obtained by
    summing the estimated number of POTWs in the population that reported the ith
    flow rate  group across  all levels  of  SSTRATUM.  The variance  of  these
    estimates  was calculated in  a  like manner.    Estimates  and 95  percent
    confidence limits   for   the estimates  were  reported  in  the  Notice  of
    Availability.
B.3 POLLUTANT CONCENTRATION ESTIMATES
    NSSS pollutant concentration estimates were produced as weighted functions
of maximum likelihood estimates  (MLEs)  from  the  four  flow rate design strata.
These  MLEs  were  calculated   from   the   multiple  left  censored  pollutant
concentration data in the NSSS  analytical  data base under the assumption that
pollutant concentration is distributed lognormally.  The theoretical basis for
estimate production is presented in more detail in section 4 of this document.
This section provides the  SAS and SYSTAT computer code written to produce these
estimates.

    Reported pollutant concentration estimates were generated from a series of
six programs.  These programs,  referred to as steps, were conducted to  (1) subset
the data for the pollutants of concern from the SAS data  base,  (2) edit data and
produce a flat file of pollutant  concentration data,  (3) input the  flat file data

                                      B-4

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into SYSTAT,  (4)  estimate mean and variance MLEs for each analyte*stratum using
nonlinear optimization procedures in  SYSTAT,  (5) upload SYSTAT estimates into a
SAS data set, and (6) weight functions of the MLEs in SAS to produce the final
results. The code for  each  step is  presented in Exhibits to this  section.   A
brief description of the objective of each step in the estimation process, the
code used to  accomplish the  objective, and, when applicable, listings of output
are described below:

Step 1: Subset data set for the 28 pollutants of concern
        Code: Exhibit B-3

    A  subset of  the  28 pollutants  of  concern  was  created  from the  NSSS
    analytical data  base ('XXXA011.NSSS.SASLIB').  This step extracted pertinent
    pollutant data  from four members of  the SAS  analytical data  library and
    produced one permanent file.  Because data is reported for each  of the seven
    PCB congeners,  the subset data  set contains  data  for  34 analytes.   The
    subset data set was permanently stored as XXX011.SLU90821.SOC1289.S009.

Step 2: Editing of the data subset and creation of a flat data file
        Code: Exhibit B-4

    This step was performed  to accomplish the following:  edit data,  distinguish
    censored data points,  create an  ASCII file from the  SAS  file  of data for
    input into SYSTAT,  and generate arithmetic means and variances  from natural
    logarithm transformed data  to  serve as starting of  'seed'  values  for the
    SYSTAT module.   A data listing  produced after  edits  were performed is
    provided in Appendix A.  These data edits and the method used to distinguish
    censored data points are discussed below.

        (A) The following edits were made to the subset data set:

           (1) Data from primary sludge samples were deleted.
           (2)  Pollutant concentration  values  for the variables  AMOUNT and
           DETLIMIT were averaged for duplicate samples.
           (3)  The  flow  rate  stratum  for  six POTWs was  reclassif ied.  This
           reclassification corrected for missassignment at the time  SURVEYID
           numbers were developed.

        (B) Two  categorical  variables,  HIT  and NOHIT,  were created  for each
           sample to distinguish left censored  data  from uncensored data.  If
           the  pollutant under  consideration was measured above  the  minimum
           level  in the  sample,  then the measured quantity was recorded under
           the  variable AMOUNT  in the  data set.    In this case,  the  created
           variable HIT  was assigned a  value of  1 and  the  variable NOHIT was
           valued at 0. On the other  hand,  if the  pollutant under consideration
           was  not  measured above  the minimum level, the variable AMOUNT was
           listed as missing for the sample and the minimum level was recorded
           under the variable DETLIMIT in the data base.   If a pollutant was not
           measured above the minimum level  the HIT  was valued at 0 and NOHIT
           was valued  at 1.
                                      B-5

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Step 3:  Importing of the NSSS pollutant concentration data into SYSTAT
        Code: Exhibit B-5

    The ASCII file of pollutant  concentration data produced in step 2 was saved
    as XXXA011.SLU90821.FAP.P052 and downloaded to  a file named P052RDA2.OWN.
    The downloaded  ASCII file  was  read into  SYSTAT in  step  3 and  saved  as
    HITMISS3.  A listing of HITMISS3 was compared to a SAS listing of the data
    to ensure integrity of the transfer process.

Step 4:  Production of MLEs using the NLIN module  in SYSTAT
        Code: Exhibit B-6

    Maximum likelihood estimates of the mean and  variance were generated from
    each  analyte*stratum subset  of  data using  the  NLIN module  in  SYSTAT
    (copyright 1987, SYSTAT, Inc.)-   Estimates  were produced by minimizing the
    negative of the  lognormal likelihood  equation  which incorporated multiple
    censor points.  This negative likelihood function is expressed as the LOSS
    function in exhibit B-6.

    As  shown  in  exhibit  B-6,  MLEs  were  estimated  using  two  minimization
    techniques.  The  first  technique,  the  Simplex  procedure,  is invoked by an
    option statement  in  the first block of code.    Simplex is  a direct search
    minimization technique.   The second procedure, Quasi-Newton, is the default
    procedure that is facilitated in the second block of code.   This technique
    uses  numeric  estimates  of  the  first  and  second  derivative  of  the  loss
    function  to  seek  a  minimum.   The scale  option  was specified  for  both
    sections of the procedure to rescale the mean square error to 1 at the end
    of the iterations.  This provided  information theory standard errors of the
    parameters.

    Arithmetic  mean   and   variance   estimates   from  the  natural  logarithm
    transformed data  were produced  in step 2.   These  values were  provided as
    seed  for  the  NLIN algorithms.  - Results  from  these seeds  were  audited by
    providing several different  starting points to ensure the convergence of the
    estimates.  When  a pollutant was  not  measured  above the  minimum level for
    any of  the  samples in  the  stratum,  the algorithm did not  produce unique
    solutions.  Therefore, the estimates for these cases were set to missing.

Step 5:  Creation of a SAS data set from the SYSTAT MLEs
        Code: Exhibit B-7 and B-8.  Estimate listing: Exhibit B-9

    All estimates produced  for each of the minimization techniques SYSTAT were
    input  into  a SAS  data   set  in  this procedure.  Exhibit  B-7 provides  the
    computer  code for  converting  the MLEs  from  ASCII  to SAS format.   The
    outfiles resulting from this conversion were  uploaded to the EPA mainframe
    as files XXXA011.SLU90821.FAP2690.MLE2AS.DATA and XXXA011.SLU90821.FAP2690.
    MLE2QN.DATA.   The  code  presented  in exhibit B-8 produces  one  SAS data set
    containing estimates from both SYSTAT minimization techniques.  A listing of
    the SAS  file data was  compared against listed printout  from  the SYSTAT
    module.  The listing of estimates is provided in exhibit B-9.
                                      B-6

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Step 6:  Weighting functions of MLEs to produce national results.
        Code P081RDA: Exhibit B-10.

    Pollutant concentration estimates for each stratum  are  first  generated by
    exponentiating functions  of  the MLE mean  and  variance estimates.   These
    stratum  estimates  are  then  multiplied  by the  flow  rate group  stratum
    weights. These weights follow:
           FLOW RATE GROUP          	WEIGHT	

           FLOW > 100 MGD           28/11,346   = 0.002

           10 < FLOW <, 100          324/11,346  = 0.029

           1 < FLOW * 10            1927/11,346 = 0.170

           FLOW <; 1 MGD             9067/11,346 = 0.799.

    The  estimated  mean  national pollutant  concentration  was  determined  by
    summing the weighted mean estimates from the four strata.  A weighted within
    stratum variance component was also obtained by summing weighted estimates
    of the  pollutant concentration estimates  from each  stratum.    A between
    strata variance  component was  estimated and added  to the within strata
    component  to produce  a  variance  estimate  for pollutant  concentration.
    Stratum and national pollutant  concentration  estimates produced from this
    computer algorithm were reported in the Notice of Availability.
                                      B-7

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                             EXHIBIT B-l


ESTIMATION OF THE NUMBER OF POTWS BY DISPOSAL PRACTICE -  SAS ALGORITHM
                                 B-8

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//XXX072 JOB (A011PCSYP,C809,,9999),'DPHAN',PRTY=2,TIME=(,10)
/*ROUTE PRINT HOLD
//* .,,11-n,...,,....	 .,.,...	 .,,,__,  ,„. „...  ,  REQUEST #28 - 	••
//*
//* Program name :  XXXA011.SLUDGLIB(P072DGP)
//* Created      :  May 18, 1990
//* Modified     :  May 21, 1990
//*
//*                        	          	
//* In this program:
//* - Disposal practice descriptive statistics are calculated.
//* - Cross tabs of survey (1986 Needs) disposal classification
//*   and reported major classification are calculated for both
//*   the Questionnaire and Analytical samples.
//* - National estimates of disposal practice Frequencies and
//*   POTWs using multiple disposals are generated.
//*   •-•'  ••
// EXEC SAS
//***
//INSAS  DD DSN-XXXA011.SLU29515.SSEP2689.SASFILE.DISP-SHR
//INSAS2 DD DSN=XXXA011.NSSS.SASLIB,DISP=SHR
//SYSIN DD *

OPTIONS CHARCODE;

*** Identifies survey nonrespondents;
PROC FORMAT;
 VALUE $DISPA
   •25-04-009',
   •45-11-079',
   'A5-16-125',
   •35-36-322',
   •45-37-339',
   •45-39-372',
   •45-32-269' - 'Y' OTHER  - 'N';
 VALUE $DISPB
   '41-39-375',
   •21-46-435',
   '31-47-441',
   •41-50-460' - 'Y' OTHER  - 'N';
 VALUE SATTACHB
   •12-50-467','13-05-016','16-32-263','23-40-382','25-05-014',
   •25-10-060','25-19-1461,'31-24-219','32-22-188','34-31-257',
   •35-05-018','35-10-053','35-18-144','41-15-094','42-21-182'
   -'Y'  OTHER-'N';
             VALUE  MAJFMT
   1 - 'LAND APPLICATION
   2 - 'DIST. AND MARKETING '
   3 - 'INCINERATION
   4 - 'MONOFILL
   5 - 'CO-DISPOSAL LANDFILL'
   6 - 'OCEAN DISPOSAL
   7 - 'CO-INCINERATION
   8 - 'SURFACE DISPOSAL
   9 - 'OTHER
   10- 'OUT OF BUSINESS
   11= 'INELIGIBLE         '
DATA DISPOSAL; SET INSAS.S0107(KEEP-
               SURVEYID AQ24A1 AQ24B1 AQ24C1 AQ24D1 AQ24E1
               EPISODE AQ24F1 AQ24G1 AQ24H1 AQ24I1 AQ24I2);
   BY SURVEYID;

   *** Corrects POTWs with misclassified flow rate groups;
   IF SURVEYID-'Sl-lS-lOl' OR SURVEYID-'35-18-144'
   OR SURVEYID-'32-22-188' OR SURVEYID-'34-20-163'
   OR SURVEYID-131-39-358' THEN
      SURVEYID-'4'?/?/SUBSTR(SURVEYID,2);
                                                    B-9

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   ELSE
      IF SURVEYID"'23-49-453' THEN
         SURVEYID-'3'?/?/SUBSTR(SURVEYID,2);

   SSTRATUM- INPUT(SUBSTR(SURVEYID,1,2),8.);
   SURDISP - INPUT(SUBSTR(SURVEYID,2,1),8.);
   LENGTH MAJOR $ 20;
   ARRAY PERCB(I) PERCbl - PERCb9;
   ARRAY AQ2AU) AQ24A1 AQ24B1 AQ24C1 AQ24D1 AQ24E1
                 AQ24F1 AQ24G1 AQ24H1 AQ24I2;
   ARRAY MD (I) $ 1 MD1 - MD9; ** Multiple disposal code';

 *** SUM(.) is used in order for a number + missing to equal a number;
   TOTAL - SUM(OF AQ24A1 AQ24B1 AQ24C1 AQ24D1 AQ24E1
               AQ24F1 AQ24G1 AQ24H1 AQ24I2);

 *** Initiation of accumulators for results;
   MULTICNT - 0;
   PERCD - 0;

 *** Comparison loop;
   DO I - 1 TO 9;
      IF TOTAL > 0 & AQ24 > 0 THEN PERCB - ROUND(AQ24/TOTAL,.001);
        ELSE IF TOTAL - 0 AND AQ24 - 0 THEN PERCB - -1;
      IF PERCB > PERCD THEN DO;
         HOLD - I;
         PERCD = PERCB;
      END;
      ELSE IF PERCB - -1 THEN HOLD - I;
      IF AQ24 > 0 THEN DO;
           MULTICNT - MULTICNT +1;   MD = PUT(I,1.); END;
   END;

   MAJOR - PUT(HOLD,MAJFMT.);

 *** If in the 'OTHER' category, list the comment field;
   IF HOLD-9 THEN MAJOR - AQ24I1;

 *** Define a variable ACTDISP the numeric value of the disposal;
   ACTDISP - HOLD;

   KEEP ACTDISP EPISODE MAJOR SURDISP SURVEYID MULTICNT MD1 - MD9
        SSTRATUM;
   LABEL ACTDISP   - 'REPORTED MAJOR DISPOSAL PRACTICE #  (1-9)'
         SURDISP   - 'SURVEY DISPOSAL PRACTICE NUMBER  (1-6)'
         MAJOR     - 'REPORTED MAJOR DISPOSAL PRACTICE'
         MULTICNT  - 'Number of DISPOSAL PRACTICES'
         /*
         MD1       = 'Land Application used'
         MD2       = 'Dist.  and Marketing used'
         MD3       = 'Incineration used'
         MD4       - 'Monofill used'
         MD5       » 'Co-disposal landfill used'
         */
   PRCC SORT DATA-DISPOSAL;
    BY SURVEYID;
 PRCC FREQ DATA=DISPOSAL;
  TABLES MAJOR ACTDISP;
  TITLE 'REPORTED DISPOSAL PRACTICE BEFORE ADJUSTMENT';

*** Disposal practices used in 1988 are set to the disposal
    practice reported in the 1986 NEEDS Survey for NSSS
    nonrespondents;
DATA NONRES;
  INPUT SURVEYID $ 1-9 ACTDISP 11-12 @14 MAJOR SCHAR20.;
  SSTRATUM - INPUT(SUBSTR(SURVEYID.1,2),8.);

CARDS;
                                                   B-10

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25-04-009 5  CO-DISPOSAL LANDFILL
45-11-079 5  CO-DISPOSAL LANDFILL
45-16-125 5  CO-DISPOSAL LANDFILL
35-36-322 5  CO-DISPOSAL LANDFILL
45-37-339 5  CO-DISPOSAL LANDFILL
45-39-372 5  CO-DISPOSAL LANDFILL
45-32-269 5  CO-DISPOSAL LANDFILL
41-39-375 1  LAND APPLICATION
21-46-435 1  LAND APPLICATION
31-47-441 1  LAND APPLICATION
41-50-460 1  LAND APPLICATION
PROC SORT DATA-NONRES; BY SURVEYID;

DATA ADJUST; SET DISPOSAL NONRES; BY SURVEYID;

 *** Classifies those POTWs reporting sludge lagoons under the
     "other" disposal option as surface disposal;
 IF MAJOR-'SLUDGE LAGOON' THEN DO;
  ACTDISP- 8 ;
  MAJOR--SURFACE DISPOSAL    ';
 END;
                                *** This is part c) of Request 28;
 IF MAJOR--TRANSFER' THEN MAJOR-'TRANSFERRED•;

 PROC FREQ DATA-ADJUST;
  TABLES MAJOR ACTDISP;
  TITLE 'REPORTED DISPOSAL PRACTICE AFTER ADJUSTMENT';

DATA SURDISP;
  INPUT @1 SSTRATUM 2. 82 SURDISP 1. 85 CAPN 4. 810 N 4.;

  *** W » Inverse of the sampling fraction;
  *** CAPN * Number of POTWs in the sampling frame stratum;
  *** N - POTWs in the sample stratum;
  if n <> 0 then
     W - CAPN / N;
  else
     w—.;
  KEEP SSTRATUM SURDISP W CAPN N;

CARDS;
11  2    2
12  8    8
13  7    7
14  0    0
15  7    7
16  4    4
21  61   13
22  18   10
23  74   33
24  11   9
25  148  31
26  12   11
31  524  26
32  41   23
33  61   27
34  17   13
35  1295 67
36  3    3
41  1646 75
42  27   15
43  2    1
44  17   13
45  7421 80
46  1    1

PROC SORT DATA-SURDISP; BY SSTRATUM;
* I.  Estimate the number of POTWs in each reported disposal
                                                   B-ll

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      practice ;

PROC FREQ DATA-ADJUST;
  TABLES ACTDISP*SSTRATUM/ OUT'I NOPRINT;

PRIX SORT DATA-I; BY SSTRATUM;

DATA I;
  MERGE I SURDISP; BY SSTRATUM;
  EST - ROUND(W * COUNT);
  IF COUNT>0 THEN Dl-1;
  ELSE Dl-0;
  DFN=D1*(N-1);
  P-COUNT/N;
  Q=1-P;
  FH-l/W;
  IF N-l <- 0 THEN SVAR-.;
  ELSE SVAR-(CAPN**2)*(1-FH)*(F*Q/(N-1));
  proc print data=i;
  title •	 list of set I for checking 	';

PROC SORT DATA-I; BY ACTDISP;
PROC MEANS DATA-I NOPRINT; BY ACTDISP;
  VAR EST SVAR DFN;
  OUTPUT OUT=TABLE1 SUM=EST DVAR DFN;

*** Estimates the number of POTWs that are out of business;
DATA TABLE1;
  SET TABLE1 END-EOF;
  OUTPUT;
  IF EOF THEN DO;
    ACTDISP - 10;  *** 2 * WAI + 2 * W45 ***;
    EST - ROUND(2 * 1646 / 75 + Z * 7421 / 80);
    dvar-(1-75/1646)*(1646)**2*(2/75)*(l-2/75)/(74)
    +(1-80/7421)*(7421)**2*(2/80)*(1-2/80)/79;
    dfn-(79+74);
    OUTPUT;
    ACTDISP - 11;  *** 2 * W45 ***;
    EST - ROUNDC2 * 7421/80);
    dvar-(1-80/7421)*(7421)**2*(2/80)*(1-2/80)/79;
    dfn-79;
    OUTPUT;
  END;
PROC SORT DATA^SURDISP; BY SURDISP;
DATA TABLE2;
     SET TABLE1;
     STDEST-DVAR**0.5;
     LCL=EST-1. 96*STDEST;
     UCL=EST-H.96*STDEST;

PROC MEANS DATA=SURDISP NOPRINT; BY SURDISP;
     VAR CAPN;
     OUTPUT OUT-A SUM-CAPN;

PROC SORT DATA-TABLE2; BY ACTDISP;
DATA TABLE2;
  MERGE TABLE2(IN=IN1)
        A(KEEP-SURDISP CAPN RENAME-(SURDISP-ACTDISP));
  BY ACTDISP;
  IF INI;
  IF CAPN - . THEN CHANGE -   EST;
  ELSE CHANGE » EST - CAPN;
PROC PRINT DATA-TABLE2 SPLIT-'*';
  ID  ACTDISP;
  VAR         CAPN EST CHANGE DVAR LCL UCL DFN;
  SUM         CAPN EST CHANGE;
                                                   B-12

-------
  FORMAT ACTDISF  MAJFMT.;
  LABEL ACTDISP - 'Disposal Practice'
        CAPN    - '1986*HEEDS classification'
        EST     - '1988*Estimated'
        CHANGE  - 'Change*1988 Estimate*-1986 NEEDS)'
        DVAR    - 'VARIANCE OF ESTIMATE'
        LCL     - 'LOWER CI'
        UCL     - 'UPPER CI'

titlel 'TABLE 1';
TITLES 'NATIONAL ESTIMATES OF DISPOSAL PRACTICE FREQUENCIES';
TITLE6 '                                     NUMBER OF POTWS';
* II.  Produce a frequency table for those practices listed in
       OTHER (AQ24I1) - Note: This excludes sludge lagoon and
       combines TRANSFER and TRANSFERRED.;

DATA II; SET ADJUST; BY SURVEYID;
  IF ACTDISP - 9;
  MAJOR2 - SUBSTRCMAJOR.1,16);

  proc print data-ii;
  title '	set II for checking	';

PROC FREQ DATA-II;
  TABLE MAJOR2 / OUT-TABLE2 NOPRINT;

PROC SORT DATA-TABLE2; BY MAJOR2;
PROC SORT DATA-II; BY MAJOR2;
DATA IT; SET II; BY MAJOR2; IF FIRST.MAJOR2;  KEEP MAJOR2 MAJOR;
DATA TABLE2; MERGE TABLE2 TT; BY MAJOR2;

PROC PRINT DATA-TABLE2 SPLIT-'*';
  ID MAJOR;
  VAR COUNT;
  LABEL  MAJOR  - 'RESPONSE'
         COUNT  - 'NUMBER OF POTWs'

TITLE 'TABLE 2';
TITLE3 'LISTING OF SURVEY RESPONSES REPORTED';
TITLE* 'IN DISPOSAL PRACTICE CATEGORY "OTHER"';
* (Some POTWs have O's entered for disposal practices in AQ24.
  In some cases, the zeros are valid. In others, they are not.
  A listing of those POTWs with no valid zeros is in SATTACHB.;
* III.  Characterization of POTWs reporting multiple disposal
      practices.;
* Determine the number of disposal practices (AQ24) for each
  Survey ID;
* A/ Estimate the number of POTWs using multiple disposal practices;

DATA MULTIA MULTIB; SET ADJUST; BY SURVEYID;
  IF MULTICNT > 1 THEN OUTPUT MULTIB;
  ELSE OUTPUT MULTIA;

  proc print data=MULTIB;
  title '	 set MULTI B for checking 	';

PROC FREQ DATA-MULTIB;
  TABLES ACTDISP*SSTRATUM/ OUT-III NOPRINT;

PROC SORT DATA-III; BY SSTRATUM;
PROC SORT DATA-SURDISP; BY SSTRATUM;

DATA III;
  MERGE III(IN-INl) SURDISP(KEEP=SSTRATUM W); BY SSTRATUM; IF INI;
  EST - ROUND(W * COUNT);

PROC SORT DATA-III; BY ACTDISP;
                                                   B-13

-------
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  proc print data=iii;
  title '	 list of set III for checking 	';

PROC MEANS DATA=III NOPRINT; BY ACTDISP;
  VAR EST;
  OUTPUT OUT-TABLES SUM-EST;
PROC PRINT DATA=TABLE3 SPLIT='*';
  ID  ACTDISP;
  VAR  EST; FORMAT EST 10.;
  SUM  EST;
  FORMAT ACTDISP  MAJFMT.;
  LABEL ACTDISP - 'Major Disposal Practice*Land Application1
        EST     • 'Estimate number of POTWs*using Multiple'

titlel 'TABLE 3';
TITLES 'NATIONAL ESTIMATES OF POTWS USING MULTIPLE DISPOSAL PRACTICES'
* 	1                         .I     	       	,.,...._—.  .
* B/  Subset the POTWs with more than 1 disposal practice response
      to AQ24;
* a) Count the number of POTWs using 2 reported practices
     - of these determine the number of POTWs in each grouping.
       (1,2  1,3  1,4  1,5  1,6  1,7  1,8  1,9
             2,3  2,4  2,5  2,6  2,7  2,8  2,9
             etc. 36 groups)
     - for those groups of multiple disposal practices that are not
       zero< identify the survey IDs within a group;

DATA MULTI2(KEEP»SURVEYID EPISODE SURDISP MAJOR ACTDISP GROUPING
     SSTRATUM)
     MULTI3(KEEP=SURVEYID MULTIDIS) MULTI4(KEEP=SURVEYID MULTIDIS);
  SET MULTIB; BY SURVEYID;
  ARRAY MD (I) $ 1 MD1 - MD9; ** Multiple disposal code';
  IF MULTICNT - 2 THEN DO;
     LENGTH GROUPING $ 2;
     GROUPING - COMPRESSCMDl ?/?/ MD2 ?/?/ MD3 ?/?/ MD4 ?/?/ MD5
                         ?/?/ MD6 ?/?/ MD7 ?/?/ MD8 ?/?/ MD9);
     OUTPUT MULTI2;
  END;
  ELSE DO I - 1 TO 9;
         IF MD NE '  ' THEN DO;
            MULTIDIS - INPUT(MD,8.);
            IF MULTICNT - 3 THEN OUTPUT MULTI3;
            ELSE IF MULTICNT > 3 THEN OUTPUT MULTI4;
         END;
  END;
RUN; *  	  ;

PROC FREQ DATA=MULTI2;
  TABLES GROUPING / OUT-TABLE3B NOPRINT;

PROC PRINT DATA=TABLE3B SPLIT"'*';
  VAR GROUPING COUNT;
  LABEL COUNT - 'NUMBER OF POTWs';
TITLE 'TABLE 3B';
TITLE3 'NUMBER OF POTWs USING TWO(2) REPORTED PRACTICES';

RUN; *	  ;
PROC SORT DATA=MULTI2; BY SSTRATUM;
PROC SORT DATA-surdisp; BY SSTRATUM;

DATA MULTI2;
  MERGE MULTI2(IN=IN1) SURDISP(KEEP=SSTRATUM W);  BY SSTRATUM; IF INI;
PROC SORT DATA=MULTI2; BY GROUPING;

  proc  print data=MULTI2;
  title '	 set MULTI 2 for checking 	';
PROC MEANS DATA-MULTI2 NOPRINT; BY GROUPING;
  VAR W;
  OUTPUT OUT=TABLE3C SUM=W;
                                                    B-14

-------
PROC PRINT DATA-TABLE3C SPLIT"'*';
  VAR GROUPING W; FORMAT W 10.;
  LABEL W "'NUMBER OF POTWs1;
 TITLE 'ESTIMATE OF POTWs USING TWO<2) DISPOSAL PRACTICES';

RUN; * b)		 ;
PROC PRINT DATA=MULTI3 UNIFORM SPLIT-'*';
  BY SURVEYID; ID SURVEYID;
  VAR MULTIDIS; FORMAT MULTIDIS MAJFMT.;
  LABEL MULTIDIS - 'DISPOSAL PRACTICE';

TITLE 'LIST OF POTWs USING THREEO) DISPOSAL PRACTICES';

RUN; * c) 	 ;
FROC PRINT DATA-MULTI4 UNIFORM SPLIT-'*';
  BY SURVEYID; ID SURVEYID;
  VAR MULTIDIS; FORMAT MULTIDIS MAJFMT.;
  LABEL MULTIDIS - 'DISPOSAL PRACTICE';

TITLE 'LIST OF POTWs USING MORE THAN THREEO) DISPOSAL PRACTICES'
* IV.  Produce a cross tab of reported vs. survey disposal as
       illustrated on attachment C;
DATA ADD;
  INPUT SURVEYID $ 1-9 ACTDISP 11-12 @14 MAJOR $CHAR20.;
   SURDISP - INPUT(SUBSTR(SURVEYID,2,1),8.);
CARDS;
45-25-229 10 OUT OF BUSINESS
45-01-003 10 OUT OF BUSINESS
41-11-067 10 OUT OF BUSINESS
41-17-136 10 OUT OF BUSINESS
45-42-387 11 INELIGIBLE
45-14-093 11 INELIGIBLE

PROC SORT DATA-ADD; BY SURVEYID;
  proc print data-add;
  title '	set ADD for checking	' ;
DATA IV;
  SET ADJUST ADD; BY SURVEYID;

 DISPA=PUT(SURVEYID,SDISPA.);
 DISPB=PUT(SURVEYID,$DISPB.);
 IF PUKSURVEYID.SDISPA. )='Y' OR
    PUT(SURVEYID.$DISPB.)='Y' THEN DO;
  ACTDISP- 12;
  MAJOR-'NON-RESPONDENTS';
 END;
 SURDISP-INPUT(SUBSTR(SURVEYID,2,1),8.);
 PROC SORT DATA-IV; BY DESCENDING MAJOR DISPA DISPB SURVEYID;
 PROC PRINT DATA-IV;
      VAR SURVEYID DISPA DISPB ACTDISP MAJOR;
      TITLE '- IV -' ;

PROC FREQ DATA-IV;
  TABLES SURDISP*ACTDISP;
TITLE 'POTWS IN THE QUESTIONAIRE SURVEY';
TITLES
'REPORTED DISPOSAL PRACTICE VS. 1986 NEEDS DISPOSAL CLASSIFICATION FREQU
ENCIES';
TITLES  'POTWS REPORTING SEVERAL DISPOSAL PRACTICES ARE CLASSIFIED';
TITLE6
'ACCORDING TO THE PRACTICE USED TO DISPOSE OF THE MAJORITY OF SLUDGE';
* V.  Prepare a cross tab for the analytical database (frequency
      count of survey disposal VS. Major reported disposal practice);

DATA LAGOON; SET DISPOSAL; BY SURVEYID;

 IF MAJOR - 'SLUDGE LAGOON' THEN DO;
                                                   B-15

-------
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  ACTDISP - 8;
  MAJOR  = 'SURFACE DISPOSAL    ';
  END;

 IF MAJOR - 'TRANSFER' THEN MAJOR - 'TRANSFERRED';

DATA ANAL; SET INSAS2.FAC_INFO(KEEP=SURVEYID EPISODE);
     IF SURVEYID-'31-15-101' OR SURVEYID-'35-18-144'
     OR SURVEYID-'32-22-188' OR SURVEYID-'34-20-163'
     OR SURVEYID-'31-39-358' THEN
        SURVEYID-'4'?/?/SUBSTR(SURVEYID,2);
     ELSE
        IF SURVEYID-'23-49-453' THEN
           SURVEYID-'3'?/?/SUBSTR(SURVEYID,2);
PROC SORT DATA-ANAL;  BY SURVEYID EPISODE;

PROC SORT DATA-LAGOON(KEEP=SURVEYID EPISODE SURDISP ACTDISP MAJOR);
  BY SURVEYID EPISODE;

DATA ANAL;
  MERGE ANAL(IN-INl)  DISPOSAL; BY SURVEYID ; IF INI;
  IF SURVEYID-'25-04-009' OR SURVEYID-'45-16-125' OR
     SURVEYID-'35-36-322' OR SURVEYID-'45-32-269' THEN ACTDISP-5;
  ELSE IF SURVEYID-'31-47-441' THEN ACTDISP-1;

  MAJOR - PUT(ACTDISP,MAJFMT.);

  IF EPISODE - 0 THEN DO;
     MAJOR - 'NO SLUDGE SAMPLED';
     ACTDISP-10;
  END;

  IF SURVEYID-'25-50-472' OR SURVEYID-'31-23-206' OR
     SURVEYID-'31-18-140' THEN DO;
     MAJOR - 'PRIMARY SAMPLES';
     ACTDISP-11;
  END;
  ELSE IF SURVEYID-'45-42-387' OR SURVEYID-'45-25-229' OR
     SURVEYID-'45-37-339' THEN DO;
     MAJOR - 'OUT OF BUSINESS / INELIGIBLE';
     ACTDISP-12;
  END;
 SURDISP-INPUT(SUBSTRCSURVEYID,2,1),8.);

FROC SORT DATA-ANAL;  BY SURDISP MAJOR;
PROC PRINT DATA-ANAL;
     VAR SURVEYID SURDISP MAJOR;
TITLE 'ANALYTICAL DATABASE';

PROC FREQ DATA-ANAL;
  TABLES SURDISP*ACTDISP;
TITLE 'POTWS IN THE ANALYTICAL SURVEY';
TITLES
'1986 NEEDS DISPOSAL CLASSIFICATION FREQUENCIES VS. REPORTED DISPOSAL PR
ACTICES';
TITLES 'POTWS REPORTING SEVERAL DISPOSAL PRACTICES ARE CLASSIFIED';
TITLE6
'ACCORDING TO THE PRACTICE USED TO DISPOSE OF THE MAJORITY OF SLUDGE';
                                                   B-16

-------
                            EXHIBIT B-2




ESTIMATION OF THE NUMBER OF POTWS BY FLOW RATE GROUP -  SAS ALGORITHM
                                B-17

-------
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//XXX074 JOB (A011SSCSP.C809,,9999),'AARON',PRTY=2,TIME=(,10)
/*ROUTE PRINT HOLD
//****************************************  REQUEST # 30 *******
//*
//* PROGRAM NAME :  XXXA011.SLUDGLIB(P074RDA)
//* CREATED      :  5/21/90
//* MODIFIED     :  5/29/90
//*
//**************************************************************
//*
//* DESCRIPTION:   REQUEST #30
//* - TABLE 9:
//*   National estimates of POTWs by average daily flow group
//* - TABLE 7:
//*   POTWs in the questionnaire survey
//*   1986 needs flow rate classification vs. 1988 reported flow rate
//*     group frequencies
//* - TABLE 8:
//*   POTWs in the analytical survey
//*   1986 needs flow rate classification vs. 1988 reported flow rate
//*     group frequencies
//*

// EXEC SAS
//INSAS DD DSN-XXXA011.SLU29515.SSEP2689.SASFILE.DISP-SHR
//SYSIN DD *

OPTIONS CHARCODE NODATE;

PROC FORMAT;
 VALUE SFLOWFMT
 •I1- '   > 100 MGD
 '2'= '10 < FLOW <= 100 '
 •3'= ' 1 < FLOW <= 10  '
 •4'= '     FLOW <=• 1
 •5' = ' OUT OF BUSINESS '
 '6'- '   INELIGIBLE
 '7'- '  NONRESPONDANTS ';

DATA ADJUST; SET INSAS.SO 102;
 BY SURVEYID;

 *** Re-classification;
 IF SURVEYID-'31-15-101'
  OR SURVEYED-'35-18-144'
  OR SURVEYID-'32-22-188'
  OR SURVEYID-'34-20-163'
  OR SURVEYID-'31-39-358' THEN SURVEYID='4'?/?/SUBSTR(SURVEYID,2);
  ELSE IF SURVEYID-'23-49-453' THEN SURVEYID-'3'?/?/SUBSTR(SURVEYID,2);

 SSTRATUM=SUBSTR(SURVEYID,1,2);

 *** Reported flow group;
 IF AQ9B > 100 THEN REPFLOW -  '1';
 ELSE IF AQ9B > 10 & AQ9B <= 100 THEN REPFLOW = '2';
 ELSE IF AQ9B > 1 & AQ9B <- 10 THEN REPFLOW = '3';
 ELSE IF AQ9B <= 1 THEN REPFLOW =  •4';

 PROC SORT DATA=ADJUST;
  BY SURVEYID;

*** Include the nonrespondents setting 1988 flow rate group to
    the flow rate group reported in the 1986 NEEDS Survey;
DATA NONRESP;
 INPUT SURVEYID $ 5-13;

 SSTRATUM=SUBSTR(SURVEYID,1,2);
 REPFLOW-SUBSTRCSURVEYID,1,1);

 CARDS;
    25-04-009
    21-46-435


                                                  B-18

-------
    35-36-322
    31-47-441
    45-11-079
    45-16-125
    45-37-339
    45-39-372
    45-32-269
    41-39-375
    41-50-460
 PROC SORT DATA»NONRESP;
  BY SURVEYID;

*** Concatenate the two datasets for intended analysis;
DATA ALL; SET ADJUST NONRESP;
 BY SURVEYID;

*** Survey flow stratum. CAPNij = Sampling frame size
                            Nij = Sample size;
DATA SAMPLE;
 INPUT SSTRATUM $ 1-2
       CAPNij     5-8
       Nij        12-13

 *** Wij - Inverse of sampling fraction;
 Wij - CAPNij / Nij;
CARDS;
11
12
13
14
15
16
21
22
23
24
25
26
31
32
33
34
35
36
41
42
43
44
45
46
2
8
7
0
7
4
61
18
74
11
148
12
524
41
61
17
1295
3
1646
27
2
17
7421
1
2
8
7
0
7
4
13
10
33
9
31
11
26
23
27
13
67
3
75
15
1
13
80
1
 PROC SORT DATA=-SAMPLE;
  BY SSTRATUM;
* I.  Estimate the number of POTWs in each reported flow group;
*       TABLE 9;
***************************************************************.

 /*
PROC FREQ DATA-ALL;
 TABLES REPFLOW*SSTRATUM;
*/

PROC FREQ DATA=ALL;
 TABLES REPFLOW*SSTRATUM / OUT=Nijk NOPRINT;


                                                  B-19

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 PROC SORT DATA=Nijk;
  BY SSTRATUM;

 /*
 PROC PRINT DATA-Nijk;
  TITLE'PRINT OF Nijk';
 */

DATA ESTIMATE;  MERGE Nijk SAMPLE;
 BY SSTRATUM;

 *** Calculates the number of POTW's in each reported flow group;
 NUMFLOW - ROUND(Wij * COUNT);
 P = COUNT / Nij;
 Q = 1 - P;
 FH =• 1 / Wij;
 IF (Nij - 1) > 0 THEN SVAR = (CAPNij)**2 * (1-FH) * ((P*Q)/(Nij-l));

 /*
 PROC PRINT DATA=ESTIMATE;
  TITLE 'PRINT OF ESTIMATE (NUMFLOW)';
 */

 PROC SORT DATA=ESTIMATE;
  BY REPFLOW;

 PROC MEANS DATA-ESTIMATE NOPRINT;
  BY REPFLOW;
  VAR NUMFLOW SVAR;
  OUTPUT OUT-TABLE9 SUM=NUMFLOW DVAR;

 /*
  PROC PRINT DATA=TABLE9;
   TITLE'TEST PRINT AFTER SUMMING BY SURFLOW';
 */

DATA TABLE9;
 SET TABLE9 END-EOF;
 OUTPUT;

 *** Add 2 new flow categories;
 IF EOF THEN DO;
   REPFLOW - '5';  *** Out of Business;
   NUMFLOW = ROUND(2 * 7421/80 + 2 * 1646/75);
   DVAR = (1-80/7421) * 7421**2 * (2/80) * (1-2/80) * (1/19)
          + (1-75/1646) * 1646**2 * (2/75) * (1-2/75) * (1/74);
  OUTPUT;
   REPFLOW = '6';  *** Ineligible;
   NUMFLOW - ROUND(2 * 7421/80);
   DVAR = (1-80/7421) * 7421**2 * (2/80) * (1-2/80) * (1/79);
  OUTPUT;
 END;

 PROC SORT DATA-TABLE9;
  BY REPFLOW;

DATA A; SET SAMPLE;
 SURFLOW = SUBSTR( SSTRATUM, 1,1);

 PROC SORT DATA=A;
  BY SURFLOW;

 PROC MEANS DATA=A NOPRINT; BY SURFLOW;
  VAR CAPNij;
  OUTPUT OUT-B SUM=CAPNij;

DATA TABLE9; SET TABLE9;
 BY REPFLOW;

 STDEST =" DVAR**0.5;
 LCL - NUMFLOW - 1.96 * STDEST;
 UCL - NUMFLOW + 1.96 * STDEST;
                                                  B-20

-------
DATA TABLE9;
 MERGE TABLE9 B(RENAME=(SURFLOW=REPFLOW));
 BY REPFLOW;

 *** Identify if 1988 ESTIMATED is greater than 1986 HEEDS CLASS;
 IF CAPHij - .  THEN CHANGE - NUMFLOW;
  ELSE CHANGE - NUMFLOW-CAFNij;
 PROC PRINT DATA-TABLE9 SPLIT-'*';
  ID REPFLOW;
  VAR CAPNij NUMFLOW CHANGE DVAR LCL UCL;
  SUM CAPNij NUMFLOW CHANGE;
  FORMAT REPFLOW  SFLOWFMT.;
  LABEL REPFLOW = ""REPORTED FLOW GROUP'
        CAPNij  - '*1986*NEEDS CLASS'
        NUMFLOW - '*1988*ESTIMATED'
        CHANGE  - 'CHANGE*(1988 ESTIMATE*-1986 NEEDS)'
        DVAR    = 'VARIANCE*   OF THE*ESTIMATE'
        LCL     - '**LOWER CI1
        UCL     - '**UPPER CI'

  TITLE1 'TABLE 9' ;
  TITLE2 'NATIONAL ESTIMATES OF POTWs BY AVERAGE DAILY FLOW GROUP'
* II.  Cross tabs of questionnaire results;
*       TABLE 7;
********************************************** *
*** inc].U(je the nonrespondents, out of business and ineligible;
DATA ADD1;
 INPUT SURVEYID $ 5-13
       REPFLOW  S 15

 SURFLOW-SUBSTR(SURVEYID,1,1);

 CARDS;
    25-04-009 7
    21-46-435 7
    35-36-322 7
    31-47-441 7
    45-11-079 7
    45-16-125 7
    45-37-339 7
    45-39-372 7
    45-32-269 7
    41-39-375 7
    41-50-460 7
    45-01-003 5
    41-11-067 5
    41-17-136 5
    45-25-229 5
    45-14-093 6
    45-42-387 6
 PROC SORT DATA=ADD1;
  BY SURVEYID;

DATA TEMP; SET ADJUST(KEEP-EPISODE SURVEYID REPFLOW);
 BY SURVEYID;
 SURFLOW - SUBSTR(SURVEYID,1,1);

 *** Re-classification;
 IF SURFLOW-'31-15-101'
  OR SURFLOW-'35-18-144'
  OR SURFLOW-'32-22-188'
  OR SURFLOW-'34-20-163'
  OR SURFLOW-'31-39-358' THEN SURFLOW='4';
 ELSE IF SURFLOW='23-49-453' THEN SURFLOW='3';

                                                  B-21

-------
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DATA TABLE7; SET TEMP ADD1;
 BY SURVEYID;

 PROC FREQ DATA=TABLE7;
  TABLES SURFLOW REPFLOW;
  TITLE1'UNIQUE VALUES OF REPFLOW AND SURFLOW';

 PROC FREQ DATA-TABLE?;
  TABLES SURFLOW*REPFLOW;
  TITLE1'TABLE T ;
  TITLE2;
  TITLES'POTWS IN THE QUESTIONNAIRE SURVEY';
  TITLE*'1986 NEEDS FLOW RATE CLASSIFICATION VS. 1988 REPORTED FLOW RATE
 GROUP FREQUENCIES';
  III.  Cross tabs of analytical results;
DATA ADD2;
 INPUT SURFLOW $ 2
       REPFLOW $ 4

 CARDS;
 4 7
 4 7
 4 7
 2 2
 4 4
 3 3
 3 3
 4 4
DATA TABLES; SET TEMP;

 *** Delete for all facilities not in the analytical survey;
 IF INPUT(EPISODE,8.) < 0 THEN DELETE;

 EPISODE = LEFT(EPISODE);
 *** Conditional statements for additional reported flow categories;
 *** If EPISODE - 0, then reported flow - 'NO SLUDGE SAMPLED';
 IF EPISODE = '0' THEN REPFLOW - '5';

 *** If EPISODE = 1386, 1398 or 1477, then
       reported flow = 'PRIMARY SLUDGE SAMPLED';
 IF EPISODE = '1386' OR
    EPISODE = '1398' OR
    EPISODE - '1477' THEN REPFLOW -  '6';

DATA TABLES; SET TABLES ADD2;

 PROC FREQ DATA=TABLE8;
  TABLES SURFLOW REPFLOW;
  TITLE1'UNIQUE VALUES OF SURFLOW AND REPFLOW';

 PROC FREQ DATA=TABLE8;
  TABLES SURFLOW*REPFLOW;
  TITLE1'TABLE 8';
  TITLE2;
  TITLES'POTWS IN THE ANALYTICAL SURVEY';
  TITLE4'1986 NEEDS FLOW RATE CLASSIFICATION VS.  1988 REPORTED FLOW RATE
 GROUP FREQUENCIES';
                                                  B-22

-------
                        EXHIBIT B-3

CREATION OF A NSSS ANALYTICAL DATABASE SUBSET CONTAINING THE
            POLLUTANTS OF CONCERN  - SAS ALGORITHM
                           B-23

-------
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//XXX051 JOB (A011SSCSP.C809,,9999),'WILKIE1,TIME=(,30)

/*ROUTE PRINT HOLD


//* PROGRAM NAME :XXXA011.SLUDGLIB(P051GRW)

//* DATE CREATED :APRIL 3, 1990

//* DATE MODIFIED:JULY 16, 1990


//  EXEC SAS
//INI DD DSN-XXXAOll.NSSS.SASLIB.DISP-SHR

//OUT DD DSN-XXXA011.SLU90821.FAP0390A.P051,DISP=OLD
//*  DCB-(RECFM=FB,LRECL=110,BLKSIZE-6270).

//*  DISP-(NEW,CATLG,DELETE),SPACE=(CYL,(5,1),RLSE)

//SYSIN DD *


  /*PURPOSE:

  THIS PROGRAM WILL SUBSET OS THE CHEMICALS ON THE
  LIST.

  $WKGOPCM.NSSS.SASLIB

  OUTPUT IS THE SAS DATA SET STORED AS

  SXXXAO11.SLU90821.SOC1289.3009


PROC FORMAT; VALUE SINCLFMT
•309002 ','7440382
'117817 ','7440439
'60571 ','62759
•7439921 ','72548
'7439976 ','7439987
•79016 ', '7440666
'53469219 ','12672296 ','
OTHER='H' ;
VALUE SFLOWFMT
'!' = '>»100 MOD
•2' - '10 <= FLOW < 100'
•3' = '1 <- FLOW < 10 '
• 4 ' - ' < 1 MGD ' ;
71432
57749
76448
72559
7440020
12674112
11097691






' , '50328
' , '7440473
', '118741
' , '50293
' , '7782492
', '11104282
' , '11096825






' , '7440417
', '7440508
' , '87683
' , '58899
', '8001352
' , '11141165
• = .y






DATA SLUDGE; SET IN1.PH_EPA(KEEP=AMOUNT ANALYTE CAS_NO
                DETLIMIT EPISODE UNIT SAMPLE)
                IN1.MT_EPA(KEEP-AMOUNT ANALYTE CAS_NO
                DETLIMIT EPISODE UNIT SAMPLE)
                IN1.0RG_EPACKEEP-AMOUNT ANALYTE CAS_NO
                DETLIMIT EPISODE UNIT SAMPLE)
                IN1.CL_EPA(KEEP-AMOUNT ANALYTE CAS_NO
                DETLIMIT EPISODE UNIT SAMPLE);


*PERFORM SUBSETTING OPERATIONS;
   IF PUT(CAS_NO,$INCLFMT.)='Y' OR ANALYTE =  'RESIDUE, TOTAL'
  /*VIAR REPORTED THAT EPISODE 1450 IN METALS DATA
    SHOULD BE EPISODE 1453 ON 10-16-89   */
   IF EPISODE = '1450' THEN EPISODE - '1453';
  /*VIAR REPORTED THAT EPISODE 1477 IN ALL MEMBERS
    SHOULD BE DELETED ON 10-16-89   */
   IF EPISODE - '1477' THEN DELETE;
   EPISODE = LEFT(EPISODE);
*  IF AMOUNT - . THEN AMOUNT - DETLIMIT;
PROC SORT DATA=SLUDGE; BY EPISODE SAMPLE;


DATA SAM; SET IN1.SAM_INFO;


 PROC SORT DATA=SAM;
  BY EPISODE SAMPLE;


DATA SLUDGE; MERGE SLUDGE(IN=IN1) SAM;
 BY EPISODE SAMPLE;
 IF INI;


 *** DELETE ALL DATA POINTS WITH PRI_SLG »
 IF PRI_SLG='T' THEN DELETE;


DATA SLUDGE TOTRES(RENAME=(AMOUNT=TOTRES)
   DROP=ANALYTE UNIT DETLIMIT CAS NO);
                                                  B-24

-------
   SET SLUDGE; BY EPISODE SAMPLE;
   IF ANALYTE - 'RESIDUE, TOTAL1 THEN OUTPUT TOTRES;
   ELSE OUTPUT SLUDGE;

DATA SLUDGE; MERGE SLUDGE TOTRES; BY EPISODE SAMPLE;

DATA SLUDGE; SET SLUDGE; BY EPISODE SAMPLE;
   WETDRY - 'DRY';
   OUTPUT;
   WETDRY - 'WET';
   AMOUNT = AMOUNT * TOTRES / 100;
   DETLIMIT-DETLIMIT * TOTRES / 100;
   IF UNIT - 'UG/KG' THEN UNIT -  'UG/L';
   ELSE IF UNIT = 'MG/KG' THEN UNIT - 'MG/L';
   OUTPUT;

PROC SORT DATA-SLUDGE; BY EPISODE SAMPLE WETDRY;

DATA _NULL_; SET SLUDGE; FILE OUT;
   PUT 81 EPISODE SCHAR4. @6 SAMPLE SCHAR5. 812 ANALYTE SCHAR40.
       953 AMOUNT 15,4 @69 TOTRES 15.4 885 UNIT $CHAR5.
       WETDRY $ 91-93 895 DETLIMIT 15.4;

PROC SORT DATA-SLUDGE;
 BY ANALYTE EPISODE SAMPLE;

PROC PRINT DATA-SLUDGE;
 VAR EPISODE SAMPLE ANALYTE CAS_NO AMOUNT DETLIMIT UNIT TOTRES WETDRY;
 TITLE 'CHEMICALS SELECTED FROM~ANALYTICAL DATABASE';
                                                  B-25

-------
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                       EXHIBIT  B-4


CREATION OF A FLAT FILE FROM SUBSET DATA - SAS ALGORITHM
                         B-26

-------
//XXX0522 JOB (A011SSCSP,C809,,9999),'AARON1,TIME-C,30)
/*ROUTE PRINT HOLD
//A****************************************************
//*
//*  PROGRAM NAME :  XXXA011.SLUDGLIB(P052RDA2)
//*  DERIVED FROM :  XXXA011.SLUDGLIB(P052RDA)
//*  CREATED      :  4/17/90
//*  MODIFIED     :  5/20/90
//*
//******************************************************
//*
//*  DESCRIPTION  :  REQUEST #18
//*      This file creates a ASCII file of NSSS pollutant
//*    concentration data for the 28 pollutants of concern.
//*    This file will be used to calculate MLEs in SYSTAT.
//*    Means and variances of the In transformed data are
//*    also calculated for each ANALYTE*STRATUM.   These values
//*    will be used as starting values or "seeds" for the
//*    SYSTAT NONLIN procedure.
//*
//******************************************************
//  EXEC SAS
//INSAS1 DD DSN~XXXA011.SLU90821.SOC1289.S009,DISP=SHR
//INSAS2 DD DSN=XXXA011.SLU90821.SAF1190.WEIGHT.DISP=OLD
//OUT DD DSN-XXXA011.SLU90821.FAP1190.P052,
//   DISP-OLD
//*  UNIT-DISK,
//*  DCB-(RECFM=FB,LRECL-70,BLKSIZE-6230),
//*  DISP=(NEW,CATLG,DELETE),SPACE=(CYL,(5,1),RLSE)
//SYSIN DD *

DATA SLUDGE DUPFLAG; LENGTH STRATUM $ 1; SET INSAS1.SLUDGE;
 STRATUM » SUBSTR(SURVEYID,1,1);

 *** Re-classification;
 IF SURVEYID - '31-15-101'
  OR SURVEYID - '35-18-144'
  OR SURVEYID - '32-22-188'
  OR SURVEYID - '34-20-163'
  OR SURVEYID - '31-39-358' THEN STRATUM - '4';
  ELSE IF SURVEYID = '23-49-453' THEN STRATUM = '3';

 *** Deletes data from primary sludge samples;
 IF PRI_SLG - •!• THEN DELETE;

 *** Separates duplicate samples;
 IF DUPFLAG - 'T' THEN OUTPUT DUPFLAG;
  ELSE OUTPUT SLUDGE;
 DROP CAS_NO FRACTION;

 PROC SORT DATA-SLUDGE;
  BY ANALYTE EPISODE;

 FROG SORT DATA-DUPFLAG;
  BY ANALYTE EPISODE;

 *** Averages AMOUNT & DETLIMIT for duplicate samples;
 PROC MEANS DATA=DUPFLAG NOPRINT;
  BY ANALYTE EPISODE;
  ID PRI_SLG UNIT SURVEYID STRATUM;
  VAR AMOUNT DETLIMIT;
  OUTPUT OUT-TEMP MEAN-AMOUNT DETLIMIT;

*** Determines where a concentration was measured above the
    detection limit or not;
DATA SLUDGE; SET TEMP SLUDGE;
 BY ANALYTE EPISODE;
 IF AMOUNT > DETLIMIT THEN DO;
   QUANTITY=AMOUNT;
   HIT-'l';
   NOHIT-'0';
  END;

                                                  B-27

-------
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1
 ELSE IF AMOUNT <= DETLIMIT THEN DO;

   QUANTITY-DETLIMIT;

   HIT-'O';

   NOHIT-'l';

  END;


DATA SLUDGE; SET SLUDGE;

 LNQTY-LOG(QUANTITY);


 PROC SORT DATA-SLUDGE;

  BY ANALYTE STRATUM;


 *** Starting or seed values for SYSTAT NONLIN;

 PROC UNIVARIATE DATA=SLUDGE NORMAL PLOT;

  BY ANALYTE STRATUM;

  VAR LNQTY;

  OUTPUT OUT-QUICK MEAN-MEAN VAR=VARIANCE;


 PROC PRINT DATA=QUICK;


*** Outputs flat ASCII file;

DATA  NULL_; SET SLUDGE; FILE OUT;

   PUT @1 EPISODE SCHAR4. @6 ANALYTE SCHAR40.

       HIT $ 47 NOHIT S 49 @51 UNIT $CHAR5.

       857 QUANTITY 12.4 STRATUM S 70;


DATA INSAS2.QUANTITY;  SET SLUDGE;


PROC CONTENTS DATA=INSAS2.QUANTITY;

 TITLE 'XXXA011.SLU90821.SAP1190.WEIGHT(QUANTITY)'


*** SAS printing of data output to flat file;
PROC PRINT DATA-SLUDGE;

   TITLE  'PRINT OF DATASET USED FOR REQUEST 18:';
                                                  B-28

-------
                       EXHIBIT B-5




IMPORTING OF THE NSSS DATA INTO SYSTAT -  SYSTAT ALGORITHM
                         B-29

-------
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*** Downloaded ASCII file is input to SYSTAT as  HITMISS3.SYS;
INPUT (EPISODE, ANALYTES,HIT,NOHIT,UNITS,QUANTITY,STRATNUMS)
      (#4,>,$12,29*>,#1,>,#1,>,$5,>,#7,>,$1)
GET 'C:\IRMA2\P052RDA2.DWN'
SA D:HITMISS3
RUN
                                                 B-30

-------
                      EXHIBIT B-6




PRODUCTION OF MLES USING NLIN MODULE -  SYSTAT ALGORITHM
                        B-31

-------
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*** MLE estimates using 3YSTAT NONLIN module;



PRINT LONG
USE D:HITMISS3



1)
SELECT ANALYTE$-'ZZZ',STRATUM$-'#'
NOTE  'ZZZ, STRATUM - #, SIMPLEX'
MODEL QUANTITY=MEAN
LOSS=-LOG(HIT*EXP(-(LOG(QUANTITY)-ESTIMATE)-2/(VARIANCE*2))/(QUANTITY*(VARIANCE*6.28)*.5)+,
     NOHIT*ZCF((LOG(QUANTITY)-ESTIMATE)/VARIANCE*.5))
ESTIMATE/SIMPLEX SCALE START=X,Y



2)
SELECT ANALYTE$='ZZZ',STRATUM$='#'
NOTE  'ZZZ, STRATUM - #, QUASI-NEWTON'
MODEL QUANTITY-MEAN
LOSS—LOG(HIT*EXP(-(LOG(QUANTITY)-ESTIMATE)*2/(VARIANCE*2))/(QUANTITY*(VARIANCE*6.28)".5)+,
     NOHIT*ZCF((LOG(QUANTITY)-ESTIMATE)/VARIANCE*.5))

ESTIMATE/SCALE START=X,Y


  WHERE:
    1)  Simplex method:
          ANALYTE$ - {ZZZ » ALDRIN	4,4'-DDT}
          STRATUM$ - {# - 1,2,3,4}


    2)  Quasi-Newton method:
          ANALYTE$ - {ZZZ - ALDRIN,  .... 4,4'-DDT}
          STRATUM$ = {# = 1,2,3,4}
                                                  B-32

-------
                           EXHIBIT B-7




CREATION OF A SAS DATASET CONTAINING MLE ESTIMATES - SAS ALGORITHM
                              B-33

-------
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//XXXQ582 JOB (A011SSCSP,C809,,9999),'AARON',TIME=(,30)
/*ROUTE PRINT HOLD
//*******************************************************************
//*
//*  PROGRAM NAME :  XXXA011.SLUDGLIBCP058RDA2)
//*  DERIVED FROM :  XXXA011.SLUDGLIBCP058RDA)
//*  CREATED      :  4/22/90
//*  MODIFIED     :  5/20/90
//*

//*
//*  DESCRIPTION  :  This program developes a SAS member containing
//*    mean & variance estimates, upper/lower CI, and corrlation on
//*    mean & variance from the SYSTAT MLE's using both SIMPLEX and
//*    QUASI-NEWTON options.
//*
//*******************************************************************
//  EXEC SAS
//INDAT1 DD DSN-XXXA011.SLU90821.FAP2690.MLE2AS.DATA,DISP=SHR
//INDAT2 DD DSN-XXXA011.SLU90821.FAP2690.MLE2AQN.DATA,DISP-SHR
//INSAS1 DD DSN=XXXA011.SLU90821.SOC1289.S009,DISP-SHR
//INSAS2 DD DSN=XXXA011.SLU90821.SAPU90.WEIGHT,DISPOLD
//SYSIN DD *

DATA HIT DUPFLAG; SET INSAS1.SLUDGE;
 STRATUM - SUBSTRCSURVEYID,1.1);

 *** Re-classification;
 IF SURVEYID - '31-15-101'
  OR SURVEYID - '35-18-144'
  OR SURVEYID - '32-22-188'
  OR SURVEYID = '34-20-163'
  OR SURVEYID - '31-39-358' THEN STRATUM -  '4';
  ELSE IF SURVEYID = '23-49-453' THEN STRATUM =  '3';

 IF PRI_SLG = 'T' THEN DELETE;
 IF DUPFLAG " 'T1 THEN OUTPUT DUPFLAG;
  ELSE OUTPUT HIT;
 DROP CAS_NO FRACTION;

 PROC SORT DATA-HIT;
  BY ANALYTE EPISODE;

 PROC SORT DATA-DUPFLAG;
  BY ANALYTE EPISODE;

 PROC MEANS DATA-DUPFLAG NOPRINT;
  BY ANALYTE EPISODE;
  ID PRI_SLG UNIT SURVEYID STRATUM;
  VAR AMOUNT DETLIMIT;
  OUTPUT OUT-TEMP MEAN=AMOUNT DETLIMIT;

DATA HIT; SET TEMP HIT;
 BY ANALYTE EPISODE;

 IF AMOUNT > DETLIMIT THEN DO;
   QUANTITY=AMOUNT;
   HIT-1;
   NOHIT=0;
  END;
 ELSE IF AMOUNT <- DETLIMIT THEN DO;
   QUANTITY=DETLIMIT;
   HIT=0;
   NOHIT-1;
  END;

 PROC SORT DATA-HIT;
  BY ANALYTE STRATUM;
                                                 B-34

-------
 PROC MEANS DATA-HIT NOPRINT;
  BY ANALYTE STRATUM;
  ID UNIT;
  VAR HIT;
  OUTPUT OUT=HIT SUM=DETN N=SAMPS;

 /*
 PROC PRINT DATA-HIT(OBS=20);
  TITLE'SAMPLE PRINT OF SET AVEBYIND'
 */

DATA MLE2aS; INFILE INDAT1;
  INPUT
 61   ANALYTE  $CHAR40.
 841  STRATUM  $ 1.
 @42  CAPNi      4.
 646  Hi         2.
 650  MEANS      7.3
 661  MLCIS      7.3
 873  MUCIS      6.3
 @83  VARS       6.3
 693  VLCIS      7.3
 6104 VUCIS      6.3
      CORRS      6.3
 PROC SORT DATA-MLE2aS;
  BY ANALYTE STRATUM;

 /*
 PROC PRINT DATA-MLE2aS(OBS=20);
  TITLE'SAMPLE PRINT OF SET MLE2aS';
 */

DATA MLE2AQN; INFILE INDAT2;
  INPUT
 61   ANALYTE  $CHAR40.
 641  STRATUM  $ 1.
 942  CAPNi      4.
 646  Ni         2.
 650  MEANQN     7.3
 661  MLCIQN     7.3
 873  MUCIQN     6.3
 883  VARQN      7.3
 693  VLCIQN     7.3
 8104 VUCIQN     7.3
 8114 CORRQN     6.3
 PROC SORT DATA=MLE2aQN;
  BY ANALYTE STRATUM;

 /*
 PROC PRINT DATA=MLE2aQN(OBS=20);
  TITLE'SAMPLE PRINT OF SET MLE2aQN';
 */

DATA SAMSIZE; SET INSAS2.WEIGHT(KEEP=ANALYTE STRATUM SAMSIZE WEIGHT);

 PROC SORT DATA-SAMSIZE;
  BY ANALYTE STRATUM;

DATA MLE2; MERGE HIT MLE2aS MLE2aQN SAMSIZE;
 BY ANALYTE STRATUM;

DATA INSAS2.MLE2; SET MLE2;
 BY ANALYTE STRATUM;

 LABEL SAMSIZE -'NUMBER OF EPISODES FOR EACH STRATUM-
       MEANS   -'MEAN ESTIMATE: SIMPLEX'
       MEANQN  -'MEAN ESTIMATE: QUASI-NEWTON'
       VARS    ='VAR ESTIMATE: SIMPLEX'
                                                  B-35

-------
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      VARQN   -'VAR ESTIMATE:  QUASI-NEWTON'
      CAPNi   -'SAMPLING FRAME FOR ANALYTICAL SURVEY(Ni)'
      Ni      -'SAMPLING SIZE FOR ANALYTICAL SURVEY (ni)'
      DETN    -'# OF HITS IN STRATUM AMONG INDEP.  SAMPS'
      SAMPS   -'# OF INDEP.  SAMPLES FOR EACH STRATUM'
      MLCIS   -'LOWER 95Z CI:  MEAN (SIMPLEX)'
      MUCIS   -'UPPER 95Z CI:  MEAN (SIMPLEX)'
      VLCIS   -'LOWER 95Z CI:  VAR (SIMPLEX)'
      VUCIS   -'UPPER 95Z CI:  VAR (SIMPLEX)'
      MLCIQN  -'LOWER 95Z CI:  MEAN (Q-N)'
      MUCIQN  -'UPPER 95Z CI:  MEAN (Q-N)'
      VLCIQN  -'LOWER 95Z CI:  VAR (Q-N)'
      VUCIQN  -'UPPER 95Z CI:  VAR (Q-N)'
      CORRS   ='CORR. OF MEAN & VAR ESTIMATES:  SIMPLEX'
      CORRQN  -'CORR. OF MEAN & VAR ESTIMATES:  Q-N'
PROC CONTENTS DATA=INSAS2._ALL_;
 TITLE'CONTENTS OF XXXA011.SLU90821.SAP1190.WEIGHT._ALL_'

PROC PRINT DATA-MLE2 SPLIT-'*';
 TITLE'PRINT OF XXXA011.SLU90821.SAP1190.WEIGHT.MLE2';

LABEL SAMSIZE -'NUMBER OF*EPISODES FOR*EACH STRATUM'
      MEANS   -'MEAN ESTIMATE:*SIMPLEX'
      MEANQN  -'MEAN ESTIMATE:*QUASI-NEWTON'
      VARS    -'VAR ESTIMATE:*SIMPLEX'
      VARQN   -'VAR ESTIMATE:*QUASI-NEWTON'
      CAPNi   -'SAMPLING FRAME*FOR ANALYTICAL*SURVEY(Ni)'
      Ni      -'SAMPLING SIZE*FOR ANALYTICAL*SURVEY (ni)'
      DETN    -'# OF HITS IN*STRATUM AMONG*INDEP. SAMPS'
      SAMPS   -'# OF INDEP.*SAMPLES FOR*EACH STRATUM'
      MLCIS   -'LOWER*95Z CI:*MEAN (SIMPLEX)'
      MUCIS   -'UPPER*95Z CI:*MEAN (SIMPLEX)'
      VLCIS   -'LOWER*95Z CI:*VAR (SIMPLEX)'
      VUCIS   -'UPPER*95Z CI:*VAR (SIMPLEX)'
      MLCIQN  -'LOWER*95Z CI:*MEAN (Q-N)'
      MUCIQN  ='UPPER*95Z CI:*MEAN (Q-N)'
      VLCIQN  -'LOWER*95Z CI:*VAR (Q-N)'
      VUCIQN  -'UPPER*95Z CI:*VAR (Q-N)'
      CORRS   -'CORR. OF*MEAN & VAR*ESTIMATES:  SIMPLEX'
      CORRQN  -'CORR. OF*MEAN & VAR*ESTIMATES:  Q-N'
                                                B-36

-------
                        EXHIBIT B-8

CREATION OF ONE SAS FILE CONTAINING MLE ESTIMATES FROM BOTH
          MINIMIZATION TECHNIQES  -  SAS ALGORITHM
                          B-37

-------
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   PROGRAM NAME: MEANVAR3.SAS
   DERIVED FROM: MEANVAR2.SAS
   CREATED     : 4/26/90
   MODIFIED    : 5/20/90

   DESCRIPTION : REQUEST #19
       Creation of a flat ASCII file readable by mainframe
     SAS to contain SYSTAT MLE estimates.
     This request reads in:
         MEANS/QN   (Mean)
         VARS/QN    (Var)
         VL/UCIS/QN (Upper/lower CI)
         CORRS/QN   (Correlation Coef.)
     from SYSTAT NONLIN output of the 28 pollutants of concern.

***********************************************************;

 FILENAME OUTFILE1 'C:\ROB\MEANVAR5.0UT';
 FILENAME OUTFILE2 'C:\ROB\MEANVAR6.0UT1;

OPTIONS NODATE PS=60 LS=132;

DATA ARRANGE1;
 INFILE 'C:\ROB\MEANVAR5.DAT';
 INPUT MEANS 20-26
       MLCIS 46-52
       MUCIS 59-65
    #2 VARS  20-26
       VLCIS 46-52
       VUCIS 59-65
    #3 CORRS 23-30
 RUN;

 PROC PRINT DATA-ARRANGEl;
  TITLE'SIMPLEX METHOD:';
  VAR MEANS MLCIS MUCIS VARS VLCIS VUCIS CORRS;
  RUN;

 PROC MEANS DATA-ARRANGEl MIN MAX;
  VAR MEANS MLCIS MUCIS VARS VLCIS VUCIS CORRS;
  RUN;

DATA ARRANGE2;
 INFILE 'C:\ROB\MEANVAR6.DAT';
 INPUT MEANQN 20-26
       MLCIQN 46-52
       MUCIQN 59-65
    #2 VARQN  20-26
       VLCIQN 46-52
       VUCIQN 59-65
    #3 CORRQN 23-30
 RUN;

 PROC PRINT DATA=ARRANGE2;
  TITLE'QUASI-NEWTON METHOD:';
  VAR MEANQN MLCIQN MUCIQN VARQN VLCIQN VUCIQN CORRQN;
  RUN;

 PROC MEANS DATA-ARRANGE2 MIN MAX;
  VAR MEANQN MLCIQN MUCIQN VARQN VLCIQN VUCIQN CORRQN;
  RUN;

DATA _NULL_; SET ARRANGE1;
 FILE OUTFILE1;
 PUT @50  MEANS  7.3
     @61  MLCIS  7.3
     @73  MUCIS  6.3
     883  VARS   6.3
     893  VLCIS  7.3
     8104 VUCIS  6.3


                                                  B-38

-------
     @114 CORRS  6.3

 RUN;

DATA _NULL_;  SET ARRANGE2;
 FILE OUTFILE2;
 PUT 850  MEANQN  7.3
     @61  MLCIQN  7.3
     873  MUCIQN  6.3
     883  VARQN   7.3
     893  VLCIQN  7.3
     8104 VUCIQN  7.3
     8114 CORRQN  6.3

 RUN;
                                                 B-39

-------
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       EXHIBIT B-9


LISTING OF MLE ESTIMATES
         B-40

-------
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                                                                      B-50

-------
                       EXHIBIT B-10




NATIONAL POLLUTANT CONCENTRATION ESTIMATES - SAS ALGORITHM
                           B-51

-------
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//XXX081 JOB (A011SSCSP.C809,,9999),AARON,PRTY=2
/*ROUTE PRINT HOLD

//*
//* PROGRAM NAME :  XXXA011.SLUDGLIB(P081RDA)
//* DERIVED FROM :  XXXA011.SLUDGLIB(P080RDA)
//* CREATED      :  6/04/90
//* MODIFIED     :  6/07/90
//*
//*********************************************************************
//*
//* DESCRIPTION:  REQUEST 29-D
//*     This program produces stratum and national concentration esti-
//*   mates for 28 pollutants of concern from the NSSS analytical
//*   survey.  Estimates were reported in the Notice of Availability.
//*
//*   PROGRAM SUMMARY:
//*
//*   1)  Maximum likelihood estimates (MLEs) of flow rate strata means
//*       and variances are input to the program from:
//*       XXXA011.SLU90821.SAP1190.WEIGHT(MLE2).  These estimates were
//*       produced in SYSTAT using the NONLIN module under the assump-
//*       tion  that dry weight pollutant concentrations are distri-
//*       buted lognormally within each stratum.  Multiple censored
//*       points (minimum levels) were incorporated into the MLE esti-
//*       mation procedures according to the methods proposed by Cohen.
//*       (Request 18).
//*
//*   2)  Pollutant concentration estimates are produced for each
//*       analyte*stratum by exponentiating functions of the MLEs.
//*
//*   3)  National pollutant concentration estimates are produced as
//*       weighted combinations of stratum measurement space estimates.
//*       Within and between strata variance components are incorporat-
//*       ed into national estimates of pollutant concentration var-
//*       iance.
//*
//*   4)  National estimates of percentile points are generated assum-
//*       ing that pollutant concentrations are distributed lognormal-
//*       ly.
//*

// EXEC SAS
//INSAS DD DSN-XXXA011.SLU90821.SAP1190.WEIGHT,DISP-SHR
//OUT1 DD DSN=XXXA011.SLU90821.FJU0490.REQ29D.ID61,
// DISPOLD
//*UNIT=DISK,
//*DCB=(RECFM=FB,LRECL=124,BLKSIZE=6200),
//*DISP-(NEW,CATLG,DELETE),SPACE=-(TRK,(10,2),RLSE)
//OUT2 DD DSN=XXXA011.SLU90821.FJU0490.REQ29D.ID62,
// DISP=OLD
//*UNIT=DISK,
//*DCB=(RECFM=FB,LRECL=104,BLKSIZE=6136),
//*DISP=(NEW,CATLG,DELETE),SPACE=(TRK,(10,2),RLSE)
//OUT3 DD DSN=XXXA011.SLU90821.FJU0490.REQ29D.TAB3,
// DISP=OLD
//*UNIT=DISK,
//*DCB=(RECFM=FB,LRECL-104,BLKSIZE-6136),
//*DISP=(NEW,CATLG,DELETE),SPACE=(TRK,(10,2),RLSE)
//SYSIN DD *

OPTIONS CHARCODE NODATE NONUMBER;

PROC FORMAT;
 VALUE SFLOWFMT
 •!•- •   > 100 MGD
 '2'= '10 < FLOW <= 100 '
 '3'- ' 1 < FLOW <= 10  '
 '4'=- '     FLOW <- 1
 '5'= '    NATIONAL

                                                    B-52

-------
DATA A; SET INSAS.MLE2;

 STRATUM - LEFT(STRATUM);

 *** The following estimates were generated after deleting an extreme
     outlier observation from stratum 3 of CADMIUM.  These estimates
     were used to produce national estimates of CADMIUM;
 IF ANALYTE - 'CADMIUM' & LEFTCSTRATUM)-'3' THEN DO;
  MEANS - 1.784;
  VARS - 0.850;
  DETN = DETN - 1;
  SAMPS - SAMPS - 1;
 END;

 *** MLE estimates for ANALYTES*STRATUM with no detections are set to
     missing;
 IF DETN - 0 THEN DO;
  MEANS • .;
  VARS  = .;
  END;

 FROC SORT DATA-A;
  BY ANALYTE STRATUM;

 PROC PRINT DATA=A UNIFORM;
  ID ANALYTE STRATUM;
  VAR UNIT SAMPS DETN MEANS MLCIS MUCIS VARS VLCIS
      VUCIS CORRS MEANQN MLCIQN MUCIQN VARQN VLCIQN VUCIQN CORRQN;
  TITLEl'MLE ESTIMATES BY ANALYTE*STRATUM' ;
  TITLE2'ESTIMATES WERE GENERATED IN SYSTAT';

 LABEL MEANS   -'MEAN ESTIMATE:*SIMPLEX'
       MEANQN  -'MEAN ESTIMATE:*QUASI-NEWTON'
       VARS    -'VAR ESTIMATE:*SIMPLEX'
       VARQN   -'VAR ESTIMATE:*QUASI-NEWTONr
       DETN    -'# OF HITS IN*STRATUM AMONG*INDEP. SAMPS'
       SAMPS   -'# OF INDEP.*SAMPLES FOR*EACH STRATUM'
       MLCIS   -'LOWER*95X CI:*MEAN (SIMPLEX)'
       MUCIS   -'UPPER*95X CI:*MEAN (SIMPLEX)'
       VLCIS   -'LOWER*95X CI:*VAR (SIMPLEX)'
       VUCIS   «'UPPER*95X CI:*VAR (SIMPLEX)'
       MLCIQN  -'LOWER*95Z CI:*MEAN (Q-N)'
       MUCIQN  -'UPPER*95X CI:*MEAN (Q-N)'
       VLCIQN  »'LOWER*95Z CI:*VAR (Q-N)'
       VUCIQH  -'UPPER*95X CI:*VAR (Q-N)'
       CORRS   -'CORR. OF*MEAN & VAR*ESTIMATES:  SIMPLEX'
       CORRQN  -'CORR. OF*MEAN & VAR*ESTIMATES:  Q-N'
DATA STREST; SET A;
 BY ANALYTE STRATUM;

 *** Pollutant concentration descriptive statistics in the measurement
     space are generated by flow stratum from functions of the MLEs;
 VARS    - (SAMPS/(SAMPS-D) * VARS;    ** Correction for bias in est;
 VAR     - EXP(2*MEANS+VARS) * (EXP(VARS)-l);
 XBAR    - EXP(MEANS+0.5*VARS);
 MEDIAN  - EXP(MEANS);
 CV      - (EXP(VARS)-1)**0.5;
 STD     = CV*XBAR;
 P90     - EXP(MEANS-t-1.28*VARS**0.5);
 P98     - EXP(MEANS-t-2.055*VARS**0.5);
 DETPERC - 100*ROUND((DETN/SAMPS),0.01);

 PROC PRINT DATA*STREST;
  VAR ANALYTE STRATUM MEANS VARS;
  TITLE1'PRINT OF ANALYTE*STRATUM MLEs USED  TO PRODUCE NAT. ESTIMATES';

DATA B; MERGE A STREST(KEEP-ANALYTE STRATUM  VAR XBAR);
 BY ANALYTE STRATUM;

 *** Stratum weights -- WT is stratum weight -- Fh is sampling fraction;


                                                    B-53

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 IF STRATUM - 'I1  THEN DO;
  WT - 28/11346;
  Nh - 20;
  CAPN = 28;
  Fh = Nh/CAPN;
 END;
 ELSE IF STRATUM = '2' THEN DO;
  WT - 324/11346;
  Nh - 56;
  CAPN = 324;
  Fh = Nh/CAPN;
 END;
 ELSE IF STRATUM - '3' THEN DO;
  WT - 1927/11346;
  Nh = 65;
  CAPN - 1927;
  Fh - Nh/CAPN;
 END;
 ELSE IF STRATUM = '4' THEN DO;
  WT - 9067/11346;
  Nh - 67;
  CAPN » 9067;
  Fh - Nh/CAPN;
 END;

 *** National estimates are produced only for those analytes with all
     four strata estimates;
 PROC SORT DATA=B;
  BY ANALYTE XBAR;

DATA C; SET B;
 BY ANALYTE XBAR;
 RETAIN FLAG;

 IF FIRST.ANALYTE THEN DO;
  FLAG - 0;
  IF XBAR -  . THEN FLAG - 1;
 END;
 ELSE IF FLAG = 1 THEN DO;
  XBAR = .;
  VAR - .;
 END;

 PROC SORT DATA=C;
  BY ANALYTE STRATUM;

DATA D; SET C;
 BY ANALYTE STRATUM;

 *** Calculates weighted stratum component for the mean;
 POPMEAN = WT * XBAR;
 *** Calculates the weighted within stratum variance component;
 VARWT = WT * VAR * (1/Nh)  * (Nh-1 + WT * (1-Fh));
 *** Removes bias from facilities that were no sampled;
 ADJD - WEIGHT *  (DETN/SAMPS);
 *** Designates national estimates to facilitate summing
     strata components;
 STRATUM - '5';

 PROC SORT DATA=B;
  BY ANALYTE;

 PROC PRINT DATA=B;
  TITLEl'TEST PRINT: WORKING DATASET,';
  TITLE2-MLE ESTIMATES AND WEIGHTED FUNCTIONS TO MLE ESTIMATES';

 PROC PRINT DATA=D;
  TITLEl'TEST PRINT: DATA-D';

 *** Produces estimated measurement space means and within stratum
     variance components for pollutant concentrations by summming
     strata components;
                                                    B-54

-------
 PROC MEANS DATA-D NOFRINT;
  BY ANALYTE;
  VAR POPMEAN VARWT ADJD SAMPS;
  OUTPUT OUT-E SUM-MEANALL VAR ADJD SAMPS;

 PROC PRINT DATA-E;
  TITLEl'TEST PRINT: DATA-E';
  TITLE3'NATIONAL CONCENTRATION MEAN, WITHIN STRATUM CONCENTRATION';
  TITLE4'CONCENTRATION VARIANCE COMPONENT, WEIGHTED NATIONAL';
  TITLES'FRACTION DETECTED AND TOTAL # OF SAMPLES';

DATA F; MERGE D(IN-INl) E;
 BY ANALYTE;
 IF INI;

 *** Between strata variance component estimate;
 BET = WT * (XBAR-MEANALL)**2;

 PROC PRINT DATA-F;
  TITLEl'TEST PRINT: DATA=F';
  TITLES'WORKING DATASET. ESTIMATES OF STRATUM CONCENTRATIONS TO THE1;
  TITLE*'BETWEEN STRATA VARIANCE COMPONENT';

 *** Estimates between strata variance component;
 PROC MEANS DATA-F NOPRINT;
  BY ANALYTE;
  VAR BET;
  OUTPUT OUT-G SUM-BETCOMP;

 PROC PRINT DATA=G;
TITLEl'TEST PRINT: DATA-G';
TITLES'WORKING DATASET: ESTIMATE OF BETWEEN STRATUM VARIANCE COMPONENT';

DATA H; MERGE E G;
 BY ANALYTE;

 *** National estimates of pollutant concentration mean and variance;
 POPMEAN - MEANALL;
 VARIANCE - SUM(OF VAR BETCOMP);

 PROC PRINT DATA-H;
  TITLE1'TEST PRINT: DATA-H';

DATA I; SET H;
 BY ANALYTE;
 STRATUM -  '5';

 *** Working dataset: Estimates percentile points under the assumption
     of a single national  lognormal distribution of pollutant
     concentration;

 ** National descriptive statistics;
 XBAR » POPMEAN;
 STD - VARIANCE**0.5;
 CV - STD/XBAR;
 CV2 - CV**2;
 SI6P * LOG(CV2-H);
 MEANP - LOG(XBAR)  - (0.5*SIGP);
 P90 - EXP(MEANP+1.28 *  (SIGP**0.5));
 P98 = EXP(MEANP+2.055 * (SIGP**0.5));
 STOP - SIGP**0.5;
 DETPERC -  100 * ROUND(ADJD,0.01);
 MEDIAN - EXP(MEANP);
 *** LNP90, LNP98 & LNP50  used to determine probability from individual
     stratum CDFs;
 LNP90 - LOG(P90);
 LNP98 - LOG(P98);
 LNP50 - LOG(MEDIAN);

 PROC PRINT DATA-I;
  VAR ANALYTE CV2 XBAR SIGP MEANP STOP;
  TITLE1'DESCRIPTIVE STATISTICS: WEIGHT ANALYTSIS';
                                                    B-55

-------
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DATA EST; SET STREST I;
 BY ANALYTE;

 PROC SORT DATA-EST;
  BY ANALYTE STRATUM;

 PROC MEANS DATA=EST MIN MAX;
  VAR SAMPS DETPERC XBAR STD CV MEDIAN P90 P98;
  TITLEl'MIN/MAX ON PRINTED VARIABLES FOR FORMATING';
  TITLES'ESTIMATES WEIGHTED IN MEASUREMENT SPACE1;

 PROC PRINT DATA-EST;
  VAR ANALYTE UNIT STRATUM SAMPS DETPERC XBAR STD CV;
  FORMAT SAMPS DETPERC 3.  XBAR CV STD 17.4;
  TITLE1'EXHIBIT I.D.6-1';
  TITLE2;
  TITLE3'NATIONAL ESTIMATES OF POLLUTION CONCENTRATION';
  TITLE4'WEIGHTED EXPONENTIATED STRATUM ESTIMATES';

 *** Used for informational purposes only. Results are not reported
     in  the Notice of Availability;
 PROC PRINT DATA-EST;
  VAR ANALYTE UNIT STRATUM MEDIAN P90 P98;
  FORMAT MEDIAN P90 P98 11.3;
  TITLE1'EXHIBIT I.D.6-2';
  TITLE2;
  TITLES'NATIONAL ESTIMATES OF POLLUTION CONCENTRATION';
  TITLEA'WEIGHTED EXPONENTIATED STRATUM ESTIMATES';

DATA _NULL_; SET EST;
 BY ANALYTE STRATUM;

 ** Table I.D.6-1;
 FILE OUT1;

 IF FIRST.ANALYTE THEN
  PUT 81   ANALYTE  SCHAR27.
      931  UNIT     SCHAR5.
      8;
  PUT 840  STRATUM  SFLOWFMT.
      @62  SAMPS     3.
      871  DETPERC   3.
      880  XBAR      9.2
      995  STD      15.2
      8115 CV       10.2

 IF STRATUM = '5' THEN PUT /;

 ** Table I.D.6-2;
 FILE OUT2;

 IF FIRST.ANALYTE THEN
  PUT 81   ANALYTE  $CHAR27.
      831  UNIT     $CHAR5.
      8;
  PUT 840  STRATUM  SFLOWFMT.
      862  MEDIAN    9.3
      877  P90      11.3
      894  P98      11.3

 IF STRATUM - '5' THEN PUT /;

DATA J;  SET I;
 DROP STRATUM;

DATA K; MERGE D J;
 BY ANALYTE;

 *** Produces weighted probability estimates.  This is a check of the
     performance of the national estimate;
 WTCDF50 - WT * PROBNORM«LNP50-MEANS)/VARS**0. 5);
 WTCDF90 - WT * PROBNORMC(LNP90-MEANS)/VARS**0.5);
                                                    B-56

-------
 WTCDF98 - WT * PROBNORMC(LNP98-MEANS)/VARS**0.5);

 PROC PRINT DATA-K;
  TITLEl'TEST PRINT: DATA-K';

 PROC MEANS DATA-K NOPRINT;
  BY ANALYTE;
  VAR WTCDF50 WTCDF90 WTCDF98;
  OUTPUT OUT-L SUM-P50I P90I P98I;

 PROC PRINT DATA-L;
  TITLEl'TEST PRINT: DATA=L';

DATA M; MERGE I L;
 BY ANALYTE;

 PROC MEANS DATA-M MIN MAX;
  VAR MEDIAN P50I P90 P90I P98 P98I;
  TITLEl'MIN/MAX ON PRINTED VARIABLES FOR FORMATING';
  TITLE2;
  TITLES'ESTIMATES WEIGHTED IN MEASUREMENT SPACE';

 FROC PRINT DATA-M;
  ID ANALYTE;
  VAR MEDIAN P50I P90 P90I P98 P98I;
  TITLE1'NATIONAL PERCENTILE ESTIMATES';
  TITLE2;
  TITLES'FIRST ESTIMATE ASSUMES NATIONAL LN DISTRIBUTIQ
  TITLE*' SECOND ESTIMATE IS A WEIGHTED SUM OF STRATUM f       '!G 1ST E '
IMATE';

DATA _NULL_; SET M;
 BY ANALYTE;

 ** Table 3;
 FILE OUTS;

  PUT ei   ANALYTE  SCHAR27.
      632  MEDIAN    7,2
      845  P50I      6.2
      957  P90       9.2
      @72  P90I      6.2
      @84  F98       9.2
      899  P98I      6.2
                                                   B-57

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