&EPA
United States
Environmental Protection
Agency
Office of Research and
Development
Washington. DC 20460
EPA/600/R-98/119
September 1998
Uranium-Radium in
Water Performance
Evaluation Study
A Statistical Evaluation
of the June 12, 1998 Data
-------
Uranium-Radium in Water
Performance Evaluation Study
June 12, 1998
Environmental Protection Agency
National Exposure Research Laboratory
Environmental Sciences Division
Las Vegas, Nevada
-------
UNITED STATES ENVIRONMENTAL PROTECTION AGENCY
OFFICE OF RESEARCH AND DEVELOPMENT
NATIONAL EXPOSURE RESEARCH LABORATORY
ENVIRONMENTAL SCIENCES DIVISION-LAS VEGAS
P.O. BOX 93478
LAS VEGAS, NEVADA 89193-3478
(702/798-2100)
Dear Participant,
Enclosed are the results of the Environmental Sciences Division (ESD-LV)
Performance Evaluation Study for Uranium-Radium in Water; June 12, 1998.
The known value for each analysis was determined by gravimetric methods,
checked by chemical analyses performed by ESD-LV's Radiochemistry Laboratory,
and compared to the participating laboratories' grand average.
The expected precision, determined by the known value, was taken from
"Table 3. Laboratory Precision: One Standard Deviation Values and Control Limits
for Various Analyses", which is based on data accumulated over the years by the
Performance Evaluation Program, and can be found in the Environmental Radioactivity
Performance Evaluation Studies Program and Radioactive Standards Distribution
Program information brochure.
Please take a few minutes to review this report and the analytical data your
laboratory submitted to us. If there are any apparent discrepancies, please notify us
immediately.
We encourage you to make use of the computer-automated data-entry system
that has been in place for some time now. As the number of participants increases,
and it becomes unrealistic for us to receive results by mail or FAX, the computer
system will be our only avenue for accepting data.
If you have any questions or comments, please send a message via the data-entry
system or contact Stephen Pia at 702/798-2102 or Patricia Honsa at 702/798-2141.
Sincerely, /I
Stephen Pia
Team Leader
RADQA Program
Enclosure
-------
NOTICE
This material has been funded wholly by
the U.S. Environmental Protection Agency.
It has been subjected to the Agency's review,
and has been approved for publication as
an EPA document.
-------
ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 1/20
The following pages consist of separate sections for each of the nuclides in this study with four
parts per section. After the first, each part is separated from the next by a new page or a thick
horizontal bar. The first page of each section is a statistical summary for the nuclide and starts
with a statement of the known value, the control limits, and the warning limits.
The warning limits are placed at two normalized standard deviations above and below the
known value and the control limits are three normalized standard deviations above and below
the known value. If you keep control charts, these values will be useful for anticipating problems
with the accuracy of your analytical methods.
The coin shaped pie chart at the top of the summary page shows the fate of all the samples
sent out in number and percentage terms. The pie chart starts at the top and rotates clockwise.
The first sector represents those participants who submitted analytical results within both the
warning and control limits. The next sector represents those who are in the warning region but
not out of control. The third sector represents those who are out of control, but have passed
the outlier test. The fourth sector represents those who have failed the outlier test. The last
sector represents those participants who have failed to respond properly. This is the case if no
analytical results were returned, or less than three determinations were reported, or if the results
were received too late. The reeding on the edge of the coin is spaced at one percent intervals, and
the sector shading becomes darker as the data reliability decreases. Sectors with zero width are
not shown.
The table in the center shows a number of statistical quantities calculated from the submitted
data based on the mean and median values in relation to the known value, both before and after
outlier removal. The lower pie chart uses the same construction as the upper chart and shows
the distribution of properly submitted data in terms of deviation from the known value divided
into sectors representing one, two, three, and greater than three normalized standard deviations.
The second part is an alphabetical listing, in lab-code order, of submitted data and several
calculated quantities. An entry that is shaded has been rejected because of one of the reasons
listed above or failure of the outlier test. The fifth and sixth columns are a measure of laboratory
precision. The Range analysis is a normalized value that you may use to keep precision control
charts. The eighth and ninth columns are the differences from the mean of all non-outliers and
from the known value, respectively. If this value is between 2.0 and 3.0, your analytical process
precision is in the warning zone; if it exceeds 3.0 it is out of control. A tag symbol may appear in
the last column. Each page with tags has a symbol definition summary at the bottom. If there is
no tag symbol, the data is within the control limits, but it may be in the warning zone.
The third part is a three-column listing of result average, tag symbol, and lab-code in average
order excluding those labs not responding properly. In this order, all outliers and out-of-control
results appear at the top or bottom of the list.
The last part is two bar chart displays showing frequency distributions of responding
participants. The first chart places the known value at the center and a bar at each 0.2 unit of
expected precision. The second chart places the mean of the reported measurements at the center
and a bar at each 0.2 unit of standard deviation. In both cases, a bar includes those results within
0.1 unit up to the maximum of six. Any results more than six units from the center value are
shown cumulatively by a shaded bar one past the sixth unit. If the central tendency of the known
value distribution falls away from the center, an error in accuracy is indicated. If the distribution
is broad, poor precision is indicated. The mean value distribution is similar but uses the average
and standard deviation of reported results as its basis.
-------
2/20 ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998
The Range Analysis(R + SR) is calculated from the range, mean range and standard error of
the range values. The range is the difference between the maximum and minimum results for the
laboratory. The mean range is calculated by multiplying the expected precision by 1.693(for three
results). The standard error of the range is calculated by multiplying the mean range by 2.575(for
three results), subtracting the mean range from this product, and dividing the result by 3. If the
range is greater than the mean range, then the range analysis is calculated by subtracting the
mean range from the range, dividing the result by the standard error of the range and adding 1.
If the mean range is greater than or equal to the range, then the range analysis is calculated by
dividing the range by the mean range.
The normalized deviation of the mean from the grand average is calculated from the deviation
of the mean from the grand average and the standard error of the mean values. The deviation of
the mean from the grand average is calculated by subtracting the grand average from the
average of the laboratory's three results. The standard error of the mean is calculated by
dividing the expected precision by the square root of 3(the number of results). The normalized
deviation of the mean from the grand average is calculated by dividing the deviation of the mean
from the grand average by the standard error of the mean.
The normalized deviation of the mean from the known value is calculated from the deviation of
the mean from the known value and the standard error of the mean values. The deviation of the
mean from the known value is calculated by subtracting the known value from the average of the
laboratory's three results. The standard error of the mean is calculated by dividing the expected
precision by the square root of 3(the number of results). The normalized deviation of the mean
from the known value is calculated by dividing the deviation of the mean from the known value by
the standard error of the mean.
A complete explanation of the statistical calculations involved in the report may be found in
the Environmental Radioactivity Performance Evaluation Studies Program information brochure
[Draft Revision of EPA-600/4-81-004], available from Patricia Honsa, ESD-LV, 702/798-2141.
-------
ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 3/20
Uranium (Natural) Statistical Summary 148 Participants
The known value of this nuclide is 3.0 pCi/1 with an expected precision of 3.0; the control limits
are 0.0 to 8.2; the warning regions are 0.0 to 0.0 and 6.5 to 8.2
47(31.8 %) Failed to respond
5(3.4 %) Outliers '
Statistic
96(64.9 %) Within all limits
Respondents
Non-outliers
Mean
Std. Dev.
Variance
%Coef. ofVar.
% deviation of mean from known value
Norm. dev. of mean from known value
Median
% deviation of median from known value
Norm. dev. of m^rfi^n from known value
4.66
7.97
63.45
170.89
55.38
0.21
3.07
2.22
0.01
Grand Avg 3.15
0.67
0.45
21.18
5.09
0.23
3.07
2.22
0.10
5(5.0 %) Mor* than 3 norm. S.D.
; 92(91.1 %) Within 1 norm. S.D.
of known value
4(4.O %) Between 1 and 2 norm. S.D.
-------
4/20 E8D-LV Performance Evaluation: Uranium-Radium
^Hl
in Water, 12-Jun-1998
Uranium (Natural)
Lab
A
AE
AF
AH
AJ
AK
AL
^ v. > y
$ฃ ^Ljfr*
^>ฃ^%'ฃA
AR
, Att
AW
AZ
BA
BC
BG
BH
BK
BM
BN
BO
C
CA
:cc-
CE
CJ
CS
CX
D
DB
DE
' 'iW "
r Mff" '
DO
m
DT
DZ
E
EB
EL
ER
B"E
FJ
FN
GN
Res. 1
3.0
3.3
3.7
3.0
2.7
3.2
3.4
-. -^ s ' s,. 4f ' ,,v' $,'
<., , -x iv'& *<
_> " -. - - '
3.9
3.1
3.6
2.7
V ^ ; vvff
3.9
3.1
3.2
3.1
3.2
2.8
3.0
" , *
2.4
3.0
3.2
3.4
3.1
2.2
3.0
" " *" J*V'^" ,'
' ,', ".ซ"' *' ".- r>**
2.8
-. ; ,x \ * "
3.1
4.9
3.1
3.0
__3.4_
3.3
? ' '-',' ^ p. ^ <, j.
* ' f "" ^ ji ^^ / '^ V/*'''-^''1
'. *' V"^""^' \ *0>
2.7
/, '" '^ * ''
4.2
3.2
4.5
2.8
3.0
3.2
3.6
3.1
3.2
3.1
3.2
' - ' '- ''- % :: ":
2.7
3.0
3.0
3.5
2.9
2.6
3.0
' "S"ป vซ!" x-"",""v
<;-, /f5-"*.;'"^"*!;?,; " ;
^2.8_^ ^
' ' ** V^-.^' "" "* ' f^f '('*
2.8
4.5
2.7
2.8
., ^jya^.
3.2
"^'h',"\^fJ^'^-i'S--
3.2
0.2
3.6
Res. 3
3.0
3.6
3.3
2.8
3.8
3.6
3.2
j->
2.8
I' ""
4.4
2.9
4.5
2.8
3.9
3.2
2.9
2.1
3.1
3.4
2.8
2.4
2.9
3.0
3.6
3.1
1.9
3.0
T- <$y ~ff'-
, - --.^ V ',. " '^ *
2.77
4.17
3.07
4.20
2.77
3.60
3.17
3.23
2.77
3.17
3.10
3.00
2.50
2.97
3.07
3.50
3.03
2.23
3.00
v v tw ^ { v "' ''
2.87
2.97
4.73
2.90
2.77
3.43
> \ ' (^
3.20
3.20
0.17
3.60
TAG SYMBOLS
Determined
to be an outlier
-0.09
0.08
0.24
-0.18
0.20
0.20
0.10
"" \ *^r " ' "~'V
%x \;"j, " /, >T
'X^11 "' "? I*. "
-0.22
0.59
-0.05
0.60
-0.22
0.26
0.01
0.05
-0.22
0.01
-0.03
-0.09
-0.38
-0.11
-0.05
0.20
-0.07
-0.53
-0.09
//""~r
^ * i
-0.17
*'
-0.11
0.91
-0.15
-0.22
0.16
0.03
0.03
-1.72
0.26
0.00
0.17
0.33
-0.10
0.29
0.29
0.19
"v^w ? x1 y? '-t^1" *" ".. / """
^\** >^\1' ^ ,.xX A ^ ^ XsK >.
r;"--^*-^-,','' ^\'\Z? '. . , -,/
-0.13
0.67
0.04
0.69
., '9-,1!
' - ', >\s< ' *' ' t -
0.35
0.10
0.13
-0.13
0.10
0.06
^^;-:-
-0.29
-0.02
0.04
0.29
0.02
-0.44
0.00
"-V" . ,;i _'"; :?> "i\S.-''^>^y^
' '"" ;O- "***,. !"/,""' : > ',
-0.08
^t'^r^-*:f"
-0.02
1.00
-0.06
-0.13
0.25
^^^^BS?
0.12
'*/>ป? !-\./^\' ,' *',"
0.12
-1.64
0.35
ft s Above control limit
li = Below control limit
-------
ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 5/20
Uranium (Natural)
Lab
GQ
HE
HK
HL
HP
I
ID
J
JE
JG
JK
JN
-,J8:>
OX
JY
K
KH
w?
KT
L
LF
LH
LZ
M
MX
N
NA
NH
NJ
NK
iปs "
NO
Or
OB
Res. 1
3.4
2.7
3.2
3.2
3.6
3.3
3.3
X
2.8
*
2.8
3.0
?,^!^66i!&P:
- ' ,, * , -,
3.0
3.0
_ 2.9_
< <
3.0
3.2
3.2
3.2
Y ,
5.9
2.8
,
3.0
3.1
\ .Y^xYxY'" "Y,
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2.9
2.8
3.4
3.0
3.3
3.4
3.3
-
2.9
*
2.9
3.1
Vv&9.e
3.4
3.6
^__2.9
\ s
4.0
3.0
3.0
- -s 5 t ~.
3.1
5.2
2.4
s
c \ ซ
4.8
3.2
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per
PW
,,PXY
Q
QM
QQ
=
0 2
-r:r^9;7l.
4.6
|"-:l>30i6^
4.0
4.2
2.5
"^flOJ' ^
3.5
'V/i-JoSi' r:
4.0
4.2
2.1
3.2
2.7
3.4
2.8
3.3
3.8
3.2
2.6
2.8
3.4
58.6
<
2.7
3.4
2.8
s *
5.0
3.0
2.7
3.1
-
4.4
2.6
5.4
2.9
>M'ป
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^i\. *
3.2
xf-'*:.:':.
; 5*^.7
, ;, " ,
4.8
^^s >
"1L2Y
5.7
33.0
3.0
4.2
2.6
No data submitted
Insufficient
data
x =
Exper.
Sigma
0.25
0.06
0.12
0.20
0.17
0.26
0.06
0.15
0.06
0.21
OJ1
0.35
0.31
0.06
<
1.00
0.12
0.25
0.06
0.75
0.20
1.25
0.15
0.64
\ *%
4.65
-'
0.65
0.78
1.10
4.24
0.58
0.00
0.26
Rnganal
(R + SR) Average
0.098
0.020
0.039
0.079
0.059
0.098
0.020
0.059
0.020
0.079
0.315
s
0.138
0.118
0.020
0.394
0.039
0.098
<
0.020
0.295
0.079
0.473
0.059
0.217
2:583
0.256
0.295
0.433
2.058
0.197
0.000
0.098
3.17
2.73
3.33
3.00
3.40
3.50
3.27
-
2.77
2.83
3.17
59.4*1
s \
3.03
3.33
2.87
4.00
3.07
2.97
3.13
5.17
2.60
N
4.40
3.07
'\: "\-\Y ' "x '
Y, ; , Y\, : -
V'x-_V, \-
3.93
* ** ^ ^ x \S|*
48.13
. , -":,;Y'
4.17
, ,5
10.57Y
4.60
3l83
3.67
4.20
2.40
TAG SYMBOLS
Determined
to be an
outlier
Normalized deviation
(grand-avg) (known) Tag
0.01
-0.24
0.10
-0.09
0.14
0.20
0.07
-0.22
"
-0.18
0.01
^52!51 - ~ :
^
-0.07.
0.10
-0.17 _
0.49
-0.05
-0.11
*
-0.01
1.16
-0.32
v
0.72
-0.05
-1 - ,y* \\'; -
^ "" i1'1^ ^ s *" \ ^
^ % ^ ^ !; ^ \l * ซ " " ^% -
\\;V:ซ'-v-ซ "' "s
0.45
;- ^;!!!ฅ:;?^ :"";?
:." "&&ฃ(> ' . '
-lV I -^^vi """''
J.59 __
V rt ซ^ ^VWV^V..^^^ ^"-"^
' -'''-iias- ^
0.84
: >:' 26:62 ' -
0.30
0.60
-0.43
tt = Above
11 = Below
0.10
-0.15
0.19
0.00
0.23
0.29
0.15
<
-0.13
*
-0.10
0.10
32ป60 X
* *
0.02
0.19
-0.08
*
0.58
0.04
-0.02
''
0.08
1.25
-0.23
\
0.81
0.04
*
X v v v ^ "
- - Y; 'x ''
X " %' ~"ป
0.54
. f -s - -^--- _ *
26MY;; x
'\ ^v'-"' *<"*
ojn
^*s^rr7^^.\^ ^ % viT s>v
-4.37 x
0.92
20.il x
0.38
0.69
-0.35
control limit
control limit
-------
6/20 ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 1
Uranium (Natural)
Lab
3*4
-^p
QZ
R
RD^
;'ป**;<
RK
RP
RR
RX
RZ
S
SD
vgjpr;
SI
SL
SM
SO
ss
sx
sz
*V;
TD
:'TN:
TQ
TU;
U
UM
C_UP
'J$&
.:tttt
"U55
VA>
VH
VI
W
Res. 1 Res. 2
_ 3.0
*s^:'^.0^^^^
__ 2.9
'/' ' ' ' i'i,' \ -' -"
,_L3A
'"" ~ 'V*',^ -)t x';!^
2.4
2.8
, "- '.;
2.8
2.1
2.8
2.7
-.-..ft f.r r '^ , ^ " fjf -V^
3.6
1.5
2.9
3.1
3.1
3.1
2.9
; 3.0 _
v^'-r^V'^,. ;<,
2.8
- ' - ~ i- //,
3.6
< - r "
,. ,J,M _,*,,,
< "';^-|?^i|&^
'" M. '':'',,'"/ ,-
A lojvvc'-":
-'.'.',-tSt^^
5.3
2.8
3.6
3.2
23 _
2.9
f !' ' "*'
2.7
2.8
,', ;-"-' '
3.1
2.1
2.6
3.2
f. '' ' .'ฃ?'''' %*$
3.5
1.4
3.0
2.6
3.2
3.0
2.9
3.0
r " ^ ' ^ >- c^ ^
3.1
3.4
, -\
2.6
a'"^'<:'-vy.'*i; iv^
ฅ-^H%>X^^
' 'A ;%V
t3U^;>
ซMl^
i.iP"
3.0
3.8
Res. 3
,^ -J?;5 .,
'L'-'f' ^sSt V*^/.
v^ " ^ ^ / ^'
rt Q
'--v,-f'; svt;"-
3.0
2.7
2.9
^ /*
4.0
2.5
2.6
3.6
_r =*:"". --.{
3.6
1.4
3.1
2.8
2.9
2.7
2.7
^ .
2.9
2^'y-y'*
3.1
3.5
r ,""- -': '
2.3
^V3:y.wS\*;SOS'Kf&'3ฃ/
$v $ <^-i;-f-f'lK^\
;^v;;.^;
-^4^1:-
$3 ^^'^cV*'^'1
^^,
3.0
3.7
Exper.
Sigma
0.12
^^fKT--
0.00
-",'".-
0.15
v s ,
0.17
0.06
0.62
0.23
0.12
0.45
0.06
0.06
0.10
0.25
0.15
0.21
0.12
0.06
0.17
0.10
v- : " ,
"0.21' _ _
^^^v^'1;,:
"- !\X V / \'
>;'<"', 2;22
5^ "'"1 fr '."!.''-
6;12
0.12
0.10
Rnganal
(R + SR) Average
0.039
^ -vซ-
0.000
0.059
0.059
0.020
0.236
0.079
0.039
0.177
0.020
0.020
0.039
0.098
0.059
0.079
0.039
0.020
0.059
'
0.039
0.079
<
0.847
0.039
0.039
0.039
3.07
,s >:(\^ " '* '"^
2.90
3.03
2.60
2.83
3.30
2.23
2.67
3.17
3.57
1.43
3.00
2.83
3.07
2.93
2.83
2.97
i
3.00
3.50
2.53
> , y^y>-
12,18
' .*">
5.37
2.93
3.70
Normalized deviation
(grand-avg) (known) Tag
-0.05
^ _.-.-^- -,x';?,V
-0.15
-0.07
". -. : ,~
-0.32
-0.18
\
0.08
-0.53
-0.28
0.01
',-, , ' ; '" '" ''
0.24
-0.99
-0.09
-0.18
-0.05
-0.13
-0.18
-0.11
'-/^ - '"
-0.09
, s - '
0.20
.._^j9Jiง
' ' \ ^ * \ -,' "*"" v ' : : f st^s \
s " O^ JLO
V^X*,':^/- '"
1.28
-0.13
0.32
0.04
j^ ^^f *>?;
-0.06
'>'
0.02
' -5ป\';'-^ , '-*:,ซ s
-0.23
-0.10
:,' ' * '; '
0.17
-0.44
-0.19
0.10
. .. , ,. , ^ ^, , ^
0.33
-0.90
0.00
-0.10
0.04
-0.04
-0.10
* ,
-0.02
r;T,T\' '; - -
0.00
- ' " "'- * ,'
0.29
' V : '' ' *
l-oฃL_
;v:f^^;;\ -x-*Ts;
'"' s :f\' "v'f
6,27 x
L:: k^'- -;-*,
1.37
-0.04
0.40
'ซซjซji'> ,'"v>~v^'f1%'f!xf/r! 'jfCSSJlJ&^^T^'C"'''^^?'^'* ซ''?' " / .' . ' ~': ~JV~", 7 ';".""" " f^.;-!;j"-i-!;r--,>^- ">^ ';"
Wv>
WG
WH
WI
WJ
WO
WR
lA. ฃ. .-.
$&'
* * !',*' '/-'"' "s"<v V%,r"
3.2
2.3
3.0
3.4
2.7
3.2
"j ' s
glf^i
= No data submitted
0 s
Insufficient data
X s
0.12
0.12
0.06
0.15
0.00
0.20
^ '-:,' 4' -'-;-',-
0.039
0.039
0.020
0.059
0.000
0.079
3.27
2.43
3.03
3.37
2.70
3.00
;.
,.
TAG SYMBOLS
Determined
to be an
outlier
0.07
-0.42
-0.07
0.12
-0.26
-0.09
s ' '\'' ' ",""'' s""
' 'H^::;?^'*^S%
tt s Above
41 s Below
'"'','"
0.15
-0.33
0.02
0.21
-0.17
0.00
-. * ,
*'^/r:^^:
control limit
control limit
-------
ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 7
Uranium (Natural)
Lab Res. 1 Res. 2
X 2.6 3.0
XI 3.0 '/' '3.sT
"XKT; "V .' "; ",-.',' x'^
XL 2.3 2.4
XM 2.9 3.3
XO \ .;*:\^ :V>3%^: -*>:
^l^gง*^
Exper. Rng anal
Res. 3 Sigma (R + SR)
wJ^__JD.31_ J&jU8_
~v"--r^ ''!>-v ' ' ' - * V '"- -,
3.2 0.15 o!o59
'S\ v %l ^ .. , S ^ "" s %
2.4 0.06 0.020
2.8 0.26 0.098
"^?S'^ X;f^"L-J^r\ M< -
\= * xV. J ' ,, * v ', ,-"-, ' NX~ ' ' '*'- '-"-- V
Normalized deviation
Average (grand-avg) (known)
___3i?^.,_Ml__:0^9i,,
"" \ฐ" " " v./" 0^ ,* " \^'S? ** "VV'-
3.17 0.01 0.10
v'\ -';ป?" , -' >V<" " o ' "-'' -' -;
2.37 -0.45 -0.37
3.00 -0.09 0.00
-!.-"" -"V, ~"^-'''; 'v^fe'l^ ' - ^'s\y.' r ~-V-!
@;S'lงS:i=\f
^
/20
Tag
\;vr~
1;-ซ
-'\*'"v!
f*''^
""s X ^
Data sorted by Laboratory Average
Average Tag
0.17
1.43
2.23
2.23
2.37
2.40
2.43
2.50
2.53
2.60
2.60
2.67
2.70
2.73
2.77
2.77
2.77
2.77
2.77
2.83
2.83
2.83
2.83
2.83
2.87
2.87
2.90
2.90
2.93
s No data submitted
0 s Insufficient data
Lab Average Tag
FN 2.93
SL 2.93
RZ 2.97
DB 2.97
XL 2.97
QQ 2.97
WH 3.00
CE 3.00
UP 3.00
RK 3.00
N 3.00
S 3.00
WO 3.00
HE 3.00
JE 3.03
EB 3.03
BN 3.03
BC 3.03
AR 3.07
SZ 3.07
SO 3.07
RP 3.07
JK 3.07
AH 3.07
KH 3.10
DO 3.13
E 3.17
QZ 3.17
X 3.17
TAG SYMBOLS
Lab Average Tag
VI 3.17
SX 3.17
DT 3.17
TD 3.20
LF 3.20
CJ 3.23
XM 3.27
WR 3.27
TQ 3.30
SM 3.30
HL 3.33
DE 3.33
CA 3.33
A 3.37
WI 3.40
RD 3.43
JY 3.50
D 3.50
SS 3.50
QU 3.50
NJ 3.50
L 3.57
CS 3.57
AZ 3.60
C 3.60
LZ 3.67
XI 3.70
SD 3.93
JN 4.00
ft s Above control
x = Determined to be an outlier li = Below control
Lab
GQ
BO
BK
FJ
ER
BM
WG
ID
RX
AE
K
HK
AL
WJ
HP
EL
U
I
CX
AK
AJ
SI
AF
GN
BH
Q
W
OB
KT
limit
limit
-------
8/20 ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998
Uranium (Natural)
Average
.Tag.
Data sorted by Laboratory Average
Lab I Average Tag Lab I Average Tag
Lab
4.17
4.17
4.20
4.20
P
AW
QM
BA
4.40
4.60
4.73
5.17
5.37
NH
PW
DZ
MX
VH
10.57
12.13
37.83
48.13
59.47
x
x
X
X
X
PG
UZ
PX
OS
JS
% responding labs
Frequency distribution
40
30
20
10
-6
% responding labs
-4 -2 0+2 +4
Normalized deviation of the mean from the known value
Frequency distribution
30
20
10
1
1
J
_ T
-6 ' -'4 ' -'2 T
1
1 ..
I... - - 1
Normalized deviation of the mean from the grand average
s No data submitted
0 s Insufficient data
TAG SYMBOLS
x s Determined to be an outlier
ft s Above control limit
U s Below control limit
-------
ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 9/20
Radium-226 Statistical Summary 148 Participants
The known value of this nuclide is 4.9 pCi/1 with an expected precision of 0.7; the control limits
are 3.7 to 6.1; the warning regions are 3.7 to 4.1 and 5.7 to 6.1
54(36.5 %) Failed to respond .
7(4.7 %) Outliers
12(8.1 %) Out of control
but not an outlier
Statistic
. 69(46.6 %) Within all limits
Respondents
6(4.1 %) In warning zone
but within control
Non-outliers
Mean
Std. Dev.
Variance
%Coef. ofVar.
% deviation of mean from known value
Norm. dev. of mean from known value
Median
% deviation of median from known value
Norm. dev. of median from known value
5.59
8.04
64.64
143.80
14.10
0.09
4.80
-2.04
-0.01
Grand Avg 4.70
0.70
0.49
14.83
-4.14
-0.29
4.80
-2.04
-0.14
19(20.2 %) More than 3 norm. S.D. .
6(6.4 %) Between 2 and 3 norm. S.D.*
;48(51.1 %) Within 1 norm. S.D.
J of known value
21(22.3 %) Between 1 and 2 norm. S.D.
-------
10/20 ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998
Radium-226
Lab
A
AE
_AFw
AJ
AK
AL
"AP:
:'AB";
?Atf;
AW
AZ
BA
'.BO "
% v
BQ
BH
BK
BM
BN
BO
C
CA
CC
CE
CJ
CS
cxf
DB
DE
f4*'<'
>v ,
;DOX
* '***
*v*j\fr['*
\MfRt,
DT
DZ
E
EB
EL
?ฐ1
ER
>^
5.9
4.9
4.6
- ! - XXXX-
- - v . s'\ "- >, '
V v -. .* * ^, ^
4.8
5.8
5.9
- go A <, >j
' , " ''V
V ' ' * ^ A ^ '' V" '
4.2
4.9
4.9
4.2
5.0
5.1
4.3
5.2
3.5
4.7
r;^i^>Sfv
5.0
4.9
.- ' ?<->."./,/ % v" ,v^ซr/$
X; cX ~ X|j3f;Jr||f t
; ป v,' *>&ฃ& iiJ!$$* Jv^
-.- ..'--*.. -^fivSi^M
4.3
5.2
4.3
4.1
4.7
J.9_
rr^s!^
^/fS^'^P^lS
!! f ^-' ''^'"^^-t"" - 1
5.1~
4.6
4.7
4.6
4.8
?**'jx''^sr!3j''&VA'' #o** '
"sj"S*l * " '". ..
""^'Kfv , ,,,
4"'.5
4.6
4.8 __
r'-'~"^'''*-,-'
-:-
'Sfc2:M .
5.1
5.4
5.0
3&6' ^w.r
% ',.',
\ C" ^. ' ;-"v v
5.1
4.8
5.1
4.7
5.2
4.9
5.0
>"'
4.5
4.8
5.5
V*-hซw ^^^^-.^
4.9
4.9 ^^
vS^^^^^ ^^^^
v^cw^p^&^p
sJwS-^;
ซfwซ^j;
4.8
5.5
4.5
4.1
4.9
4.7
AW. V. ,f,-^.VJV.^ff.^f,-.-. .
}ซ!* % X-.^g-J ซ11'
j5^!!..
^^^SiJ
^^I'y-^S
6.1
5.1
4.7
4.6
^4.9^ ^
^C^Z
5.2
4.9
5.0
^
2.1
5.4
4.8
5.4
S3.8
5.1
4.9
5.0
4.5
4.6
4.8
4.7
4.6
5.1
4.7
S|ฃ
4.8 "
5.0
srs^^jjH^
*l,^f^
^Si?lฃฎl
^^^3^S^ ^
""Sir %
5.7
4.6
4.2
4.6
4.8
4.9
l\'
--VT-. s - --
5.6
5.2
s No data submitted
0
Insufficient data
X S
Exper.
Sigma
0.06
0.12
0.06
0.70
0.17
0.20
0.06
0.30
0.50
0.45
1.51
0.52
0.06
0.10
0.25
0.31
0.15
0.35
0.38
0.85
0.46
v^v^i'.X v !-"
0.10
0.06
s'1|" I""'!" -"- !
\^f/^^'' " '
y?.~ ' "% ,- -
&L* . ' ^
0.40
0.25
0.15
0.06
0.15
0.10
0.29
0.50
0.32
Rnganal
(R + SR) Average
0.084
0.169
0.084
1.345
0.253
0.338
0.084
0.506
0.844
0.759
3.756
0.759
0.084
0.169
0.422
0.506
0.253
0.591
0.591
1.667
0.675
^ 'S
0.169
0.084
-.V -
0.675
0.422
0.253
0.084
0.253
0.169
0.422
0.844
0.506
4.67
4.53
4.83x
?' ,
5.20
4.80
4.80
: 2.13
5.10
5.33
5.43
82.10
4.80
4.87
5.00
4.47
4.93
4.93
4.67
4.77
4.47
4.97
Xx'X:'":x,, v
4.90
4.93
f < ff. v t ^ > A ^ .
* J
\-' " ;' * - ;" l ^
'' z "
^ '"'"'' f * ^ -.It ' 1 '' '
4.73
5.47
4.47
4.13
4.73
4.80
5.07
* -
5.60
4.97
TAG SYMBOLS
Determined
to be an
outlier
Normalized deviation
(grand-avg) (known) Tag
-0.07
-0.40
_?.34_ w
' *' "' ' '. '' \ w'.
1.24
0.26
0.26
' ' , ' ' ' '' ''
-. , - . - , - -> ' >
X0J4/X"
1.00
1.57
1.82
1&L52 3
, ' *
0.26
0.42
0.75
-0.57
0.58
0.58
-0.07
0.17
-0.57
0.67
;;;/;^^:
0.50
0.58
;\; ^ A ;; **" \ ^r;,?
'-'^vf/S^ ^("^':
" \ ^\\^-^^ > j ** --^,v\
f t ' "" " '^'''"'A*''^^.''*^
* / \ ' ' ; f\'f''p'v "i
' X" , "" v 'X'xx^x.vX-J!-T?A
0.09
1.90
-0.57
-1.39
0.09
0.26
9-?vJI"
: ' .: " c'ง!
- ','"*'* r
2.23
0.67
tt s Above
U s Below
-0.58
-0.91
^-0.16^ ____
7^^!;-vSJ
0.74
-0.25
-0.25
"""'Tf ..X
" r . -o-' *
-6i$8,4^ x\\;
0.49
1.07
1.32
aldix/^V,
X* ' ^i v-v-. S f. V' ,-. ~~
x%*"U^? - -"'*" ;
-0.25
-0.08
0.25
-1.07
0.08
0.08
-0.58
*
-0.33
-1.07
0.16
^jWSj^J.
0.00
0.08
&'", "'---r.:' L.'" "
'V-, ':L-;X X-----^"
SV V ''"-"'> ^~*,^ ฐ"
"^'^'Ol v'^, ''%, ^ ^ ^ '^^^^ -V
^^""V^^V^ -. X ;X^ ^ "" "-V / \
-0.41
1.40
-1.07
-1.90
-0.41
#?w~^7*r
I^C^
^Sv^-T^K
v '"',>>- ' '-v '*-,ซ'
1.73
0.16
control limit
control limit
-------
1
ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 11/20
Radium-226
Lab
GQ
HE
HK
HL
HP
I
JDD_
JE
? jfc!"\
" ' firr"
;'jN~'
JS
JX
JY
K
KH
KL
KT
L
''fjjP "
LH
LZ
M
MF
MX
N
,NA
NH
NJ
NK
NO
O
OB
OS
ox
p
,_
5.4
,"" 7;\^;':"^?
;-V*^,ฃr^t*<-
::^S1
4.9 ~
5.0
- -!-8.6'";:
5.7
4.9
6.5
4.4
_ , V^V^^^H,
\ * o
5.2
3.7
3.4
3.8
5.0
_
4.5
ji.4
, 5 "^ ' " * SW>X
' ^V:Xj
5.2
'r^^^ijjjjji
-\^ ^s ^ v^?^
5.2 "*
4.3
-rซ-*"^^x"" ""^T^^Tx
" ^^TTW?^
3.0
5.6
3.3
^V^^fr^S
6.3
Res. 2
3.5
4.0
4.7
5.3
4.8
4.2
4.8
-p-< ^.WA-. xi* C?1 W^*W
5.2
-^i^iSvJ?!^
^r^jrT't'V* ';
$$!^\&V&ฃ
S ซ *^" - t "^ -.' "
-0\ , ^! x,^ ^ r^s1- ;.?
"4.6
5.2
.,' :-A\?;9 - -*'
4.8
4.4
5.4
4.0
Nry"-1f^ ^
,::^'3^?i
5.2
4.4
2.7
3.1
4.9
4.8
__. .M ,
^ w*^-. < ,^( ^ ^
- ,;^ ?^M
5.2
gง^p;f?|
5".!^^
4.9
^fxlM^?
^2.2
5.2
3.3
s?^%5^
5.6
Res. 3
3.6
4.2
4.9
4.5
5.2
4.7
4.7
5.4
"> V\\ ?s"x?'x' ' ;
11 ;--*-' o :
^%: v -
4.3
4.6
' -6.4,
4.5
4.6
5.6
3.9
";,?":-" ', r
'-*'.-,' -
5.3
3.0
2.7
3.6
5.0
4.7
_3.2m_
^^.^-* x^r \^ \*"
\ฐ V -
4.7
^7?^;
}s^'\l^x, ปซปS\V
"""' 5.2"'
4.9
^งIS|Sp;
^I^Jg-^
3.8
5.4
3.5
'-* A"1;:"!
4.9
No data submitted
Insufficient
data
xs
Exper.
Sigma
0.21
0.15
0.12
0.46
0.26
0.32
0.44
0.12
-" N , (
^ ,-'" * ''-
0.30
0.31
0.90
0.62
0.25
0.59
0.26
0.06
0.70
0.40
0.36
0.06
0.15
0.62
N
0.29
v;:};^/-
0.06
0.35
^Ajr^;^;-
^;^b.ii'v%
0.80
0.20
0.12
v
0.70
Rng anal Normalized deviation
(R + SR) Average (grand-avg) (known) Tag
0.338
0.253
0.169
0.675
0.422
0.506
0.675
0.169
;;sy,
"'':;V v,
6.506
0.506
1.667
1.024
0.422
0.928
0.422
0.084
1.345
0.591
0.591
0.084
0.253
1.024
0.422
o%
0.084
0.506
/--^x,r
0,169
1.667
0.338
0.169
1.345
3.67
4.17
4.83
4.77
5.10
4.33
___ 5;0ฃ__,
5.33
':,-' ,->>'" -;!-" >-," ''-' ->
',^' '- *"\Oi:> X
r ''^y':^'^''.
4.60
4.93
7.43 :
5.00
4.63
5.83
4.10
-'.-"*' s';^ )^V''S-'-
.."> ::/i4::-::-!
5.23
3.70
2.93
3.50
4.97
-
4.67
3.70__
"" -r"-~;~ -~-ซปซ-.^
_5.qa
V,",^-*- ฐ~
- -"": ; -',:;-"; V^;;?- ฐ
^ " ' 5.17
4.70
5V^^^^-^H
'\. -.r^'lLl^T1*1:
3.00
5.40
3.37
' -%> \ - '> :^ "*!\-*^ ;;
5.60
TAG SYMBOLS
Determined
to be an
outlier
-2.55
-1.31
0.34
0.17
1.00
-0.90
_^75__
1.57
^~!S>"~;:7\,TV
',^,V,-r'' *-'*;
'^XfeK^--
-6.24
0.58
: 6.77'' ; N* '
0.75
-0.16
2.81
-1.48
s ^ ^. \^^ ^ N v N1^1
x ';' v f N
1.33
-2.47
-4.36
-2.96
0.67
-0.07
-2.47
\--V- ' ;' \
0.83
" v^iV^
^Mr^
1.16
0.01
srS^pl^"7^"
l^t-SS/^^
-4.20
1.74
-3;29
^S^>; ~-;'
2.23
tt = Above
-3.05 Jl
-1.81
-0.16
-0.33
0.49
-1.40
1.07
. . V S -VV ^ 5% v%v
/'^ซ--,~- \x"-V*'*-
>_ '-V>:-- '/ซ:'
-0.74
0.08
'6.27 --,x\
0.25
-0.66
2.31
, . -,^ - '
-1.98
-~r'; ^'T1 :"^'-~
U''>:>.
0.82
-2.97
-4.87 U
-3.46 II
0.16
*
-0.58
-2.97
"\"~". :-.>'"
'. : ,\ป-
0.33
-- * - ''% ^ '- * ' -
^l;;,;r :-*',:
0.66
m-0.49^ _
T^VTT'-^' s\,*ic x'
^7:84;: %v
-4~70 li
1.24
-3.79 II
;"' \V-T\-*,
1.73
control limit
II = Below control limit
-------
r
^_
/
'
12/20
ESD-LV Performance Evaluation: Uranium-Radium in Water,
Radium-226
Lab Res. 1
QU
lilt" '
**ซ*
QZ
R
(tii '-
*M*'.. .-
s ;. ft f-sty <, "
RK
ซW"-'"'
v^y*1*
SUBt'^r ;>
RZ
SO
^flw?^* -
SI
SM
80 v
ss
sx
sz_
TD
TN
TQ
W
'llSf*
UP
UQ
" .. /v,*
'<_._, 4
,uz
VA
VI
W
we
"*> 'A^'J^ii
WH
v 5;.-. v s\
WJ
wo
IP* %fttafc ,
I ^ .ITS*
]L>%*j#ฃ|^
2.9
" ' V ,
Res. 2
_3.0^?
4% '."'iJ~::-,-,'* -< >'
5.2 5.5
4.7 4.4
"- '"'# t *
''' H.V'*v<" "~'~'\
' , ' V.-%' ", ...... **
3.7
' * > ' ' j *j
f,*-&4;fc;%^|i
f.+ 'v ^
/ ^' v ^Ji^ir -1
6.2
5.1
3.5
,~ V* '' ' '
4.5
5.4
4.8
4.3
4.5
3.2
4.8
5.3
4.4
\
4.9
4.9
6.7
4.1
4.9
3.7
i;>'^:> 7 '^'V^H- V^!'x
4.7
> w*, -r'"1^"
4.9
6.1
> * ' v^V^ {**''
f,ss" \. ^'^x.^'
-. V-.^ - .. ^
lf-KT!!ir' * v' '*'' ', -
I f >* TV mmi*
fr.
' * " 'v? -. ''
'~-";T;'l'''a~"">";-
-i ^5^*? i''l4" '
V 'ฃป'"'.* ^;;.o ' / ""^/^^
4.8 J^
;''; ," C"'--'v">'"
,i'งfi^>%?^fe
^V-^f;-V'')f^;
6.3
5.1
3.7
?"' %" >\ ' '; i"\
4.2
, A-T
5.1
4.1
3.7
3.6
3.8
5.1
4.3
- ' ', ft ?*- ^ ****ซv
v^// ^s ' >
5.0
4.9
6.2
4.3
4.4
4.1^
i"^*;p^$ฃ ^ijii^ffi&ifc
5.0
s *" ",^%' . ^?'% *
iv~5.o"
5.7
?v "X^i *>^ ^^^?v<-Xซ<'
-v}f;f?^r f $&&$*ป
t^***-*.* tv****.^-*.- 'Wvj
'- A> '>?-;- f > y >W %
* f *; v*--**. ~--\%
"- vs--,^,-n-x-^
No data submitted
Insufficient data
-
Res. 3
3.1
'w.' " * ' * " ^
4.8
4.5
^%v v ^A^ ^ < -%
' '^* 'f^j-~>'^> *" ' V ^ ' '**
% yff^!?; ^f^^*?' ,
^,4;4,^
jytf* ^^^""^
s,j,''?' i Vs "^ . ''?&,'ฃ -frd'^
f- ' : { i" <, t f <&
f'^^ ^ '*' -" ฐ.j ^ "
6.4
5.1
4.1
-', ;-'
4-4
5;4
4.5
4.5
3.6
3.5
5.1
4.6
4.5
' . * ^^ " >4v'''Vvl ^ '%
5.1
5.1
' ^ " ^"^ "
6.1
3.8
4.5
.,., ,3;^-
^^ ai! 'j Cffi^/j$&iiy>!?
^ v v,^^
S A SJ J
^f ^
4.6
6.7_
vVw"^*, f * "^. ^^x"
"V t-/$$^ ^.^^>\
^''vi"?-?>'<|t^ >}.;> v;y ?
;2V\^ ;v"-. 'ปc;
$^l'ซ, ,ป "
X s
Exper. Rng anal
Sigma (R + SR)
0.10 0.169
0.35 0.591
0.15 0.253
70.40; 0,675
/'** "-, " ' " ""- , *" - }
-."/. . .. ^ ' ^ __.- v J:%
0.56 0.928
v * ",'!' , ' ,/
" *"-:.- r >*f ' ';*: '' ) ^ ' '^V'.
" "*tit*t&- ' - 1 -HAK '
0.10 0.169
0.00 0.000
0.31 0.506
0.15 0.253
0.00 0.000
0.30 0.506
0.20 0.338
0.49 0.759
0.21 0.338
0.68 1.185
0.36 0.591
0.10 0.169
ฃvy ' '''' '
0.10 0.169
0.12 0.169
0.32 0.506
0;71 1.346
0.25 0.422
0.26 0.422
0.56 0.928
'.'^Xv %'" J '"- ^ " '-. ''*" '''"'^
0.17 0.253
0.21 0.338
0.50 0.844
"*^\ \ i ? " * s
'&'? ,,"'''' ' ""
' ^ %\*^ *f v < ' , ' i
\A -',''"'' !
'-' y !<"' -.
TAG SYMBOLS
Determined to be an
1
12-Jun-1998 J
Normalized deviation
Average (grand-avg) (known) Tag
3.00
'', '' /"' ,
5.17
4.53
., . f ^ ''''<> V ,
- ,8,73,;
^'-'- '** ."^'A*'/^-'
* j v ""* >- " * v1- % ^ ^,, J '
4.30
'" - ', ' f~ '' , ",
^-'';. ''/;^\^^
'; '' ป*ป;'. ", ";
6.30
5.10
3.77
^ '
4.37
.. "" --^ " "" . ^
5.40
4.80
4.30
3.93
3.43
4.57
5.00
4.40
5.00
4.97
6.33
7.13
4.07
4.60
3.60
-. ' " ! " " ']i ''''' ^ *' \ ^; '''"1"1
4.80
4.83
6.17
J * ' ' '? -. " ' '
" Z* " , \ f *" '**' " *
'' j '' T '
outlier
-4.20 _-4."0, .,*-_
"^,y *>..;-/'' '"' "'5fV- V'*' ' "* - *
lll6 6.66
-0.40 ,,v,:9-91
' 9^9^ ;ivj^sj 0;4^;\ ^ ^
*' "' ' v V^^ V'^ ป<^X '"-'"V't* ~ i'/ V
s ^ .v /^V-""'V^w-^o '*! .>>" ^"^-N^ ^s '. ***.-'
.0.98 >:1.48
-,,-jC' 5--v-;C^il;J<, ~-', s:,\,,,x
t !l-"^f r^';^ ' *
0.26 -0.25
-0.98 -1.48
-1.89 -2.39
:,- '1 , -,s ^ .,..;- ":>; "-",
-3.13 -3.63 H
-0.32 -0.82
0.75 0.25
^i,,,.,p %^, - ;,...,:,? "--_y, ^ -
-0.73 -1.24
11 ' A
0.75 0.25
0.67 0.16
'*"'"-.'', -. - ' ' ซ
4.05 3.55 tt
. 6,03: ;T'\;.>''ซWSS" x
-1.56 -2.06
-0.24 -0.74
-2.71 ,v^ / "v^y^^ ^' ^ ' "
0.26 -0.25
..';.,'__,. ' J j ' " ^
""' ^ " V"" / V - ' (V ^
0.34 -0.16
3.64 ^J?;1.?..^ A
'''('-1 - \v.- ^V^^*/^'^^ tNt
",x'';''"14i' " c-,ฃ' -,-'''"-' ' ' *
^ ' >' i 'C' *
--- : ,-:- \ ","',- > '
1T s Above control limit
Ji = Below control limit
~
=^
-------
ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 13
Radium-226
Lab Res. 1 Res. 2
JfL^, ^j*-7 4-4
""XAx^"*- ^r^r^T-^spri^s^;
-jฃ0;;V '- ^*^j$^$^^^\
^xnB>- v V* v-I^vt^l^^^
' v * ^ 5/, * \,Vs ,s X V
XI 2.9 3.4
XL 5.0 5.1
XM 5.9 5.6
XO\ x ,, : N'\ / '/
m ^VV'v'*
? rv^'vr- '
Exper. Rng anal
Res. 3 Sigma (R + SR)
^^._4:L ., A2L. - . ฐ:3?.8- ป'
"^^r;>o^'""':r" "" "s1";-..-^" ! " '
If^X^T^- v'-'-^'-V -''': /*
'^^^^tt^'X'1':- ' '--1;"1-1 ''-''-
^ \ " ^ XVX "\ X"
2.8 0.32 0.506
5.1 0.06 0.084
5.6 0.17 0.253
V N -
.. -~ -
Normalized deviation
Average (grand-avg) (known)
__4.47 ^-0.57 _il.07_
VT* i A^^T***^^ "^ ^ -v'''" ^^^ ^^^^^>ซ.^ซ'. %;>^" ww>* - w*
r^' /^ v^^'^s-^l^.^k.1 -!/ฅN
1 - '^^:- ; ': ~ ^X^VT:"^*;-.-"^:?;
< -'.' ^*" s " ''""^ \x'
3.03 ;4.12 -4.62
5.07 0.91 0.41
5.70 2.48 1.98
*
s \ \v
" " " ^
/20
Tag
\?Jฃ ,,|s
\- ^'^
,y v- ;
" ' ' ""'
;!.;
'*
*
I
Data sorted by Laboratory Average
Average Tag
1.73 x
2.13 x
2.93 U
3.00 Ji
3.00 li
3.03 U
3.37 U
3.43 . 11
3.50 JJ
3.60 U
3.67 U
3.70
3.70
3.77
3.93
4.07
4.10
4.13
4.17
4.30
4.30
4.33
4.37
4.40
4.47
4.47
4.47
4.47
4.53
s No data submitted
0 s Insufficient data
Lab Average Tag
PG 4.53
AU 4.57
MF 4.60
QU 4.60
PW 4.63
XI 4.67
Q 4.67
TD 4.67
MX 4.70
WC 4.73
GQ 4.73
NJ 4.77
M 4.77
SD 4.80
SZ 4.80
VI 4.80
L 4.80
EB 4.80
HE 4.80
SX 4.83
RK 4.83
I 4.83
SI 4.87
U 4.90
X 4.93
E 4.93
CJ 4.93
BN 4.93
R 4.97
TAG SYMBOLS
Lab Average Tag
AE 4.97
TN 4.97
W 4.97
JS 5.00
KH 5.00
NH 5.00
CA 5.00
A 5.00
P 5.03
EL 5.07
DT 5.07
HL 5.10
CE 5.10
WH 5.10
BH 5.17
SS 5.17
EO 5.20
AL 5.23
AK 5.33
WJ 5.33
HK 5.40
AF 5.40
BK 5.43
DB 547
JX 5.60
DE 5.60
C 5.70
BO 5.83
UQ 6.17 IT
It = Above control
x = Determined to be an outlier & = Below control
Lab
N
GN
CS
UP
TQ
K
ID
BM
O
XL
ER
S
HP
AW
QZ
OX
AJ
LZ
JE
AZ
SM
PX
BA
DZ
FN
QQ
XM
KL
WO
limit
limit
-------
14/20 ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998
Radium-226
Average
Tag
Data sorted by Laboratory Average
Lab | Average Tag Lab Average
Tag
Lab
6.30
6.33
IT
IT
RZ
VA
7.13
7.43
x
x
VH
JY
7.67
8.73
82.10
x
x
X
RX
RD
BC
% responding labs
Frequency distribution
10
-6
-4-20 +2 +4
Normalized deviation of the mean from the known value
% responding labs
Frequency distribution
10
1
-6
-4 -2 0 +2+4
Normalized deviation of the mean from the grand average
= No data submitted
0 = Insufficient data
TAG SYMBOLS
x s Determined to be an outlier
ft s Above control limit
II = Below control limit
-------
ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 15 720
Radium-228 Statistical Summary 148 Participants
The known value of this nuclide is 2.1 pCi/1 with an expected precision of 0.5; the control limits
are 1.2 to 3.0; the warning regions are 1.2 to 1.5 and 2.7 to 3.0
65(43.9 %) Failed to respond
5(3.4 %) Outliers
21 (14.2 %) Out of control --
but not an outlier
Statistic
. 45(30.4 %) Within all limits
Respondents
12(8.1 %) In warning zone
but within control
Non-outliers
Mean
Std. Dev.
Variance
% Coef. of Var.
% deviation of mean from known value
Norm. dev. of mean from known value
Median
% deviation of median from known value
Norm. dev. of median from known value
2.93
1.57
2.46
53.53
39.47
0.53
2.60
23.81
0.32
Grand Avg 2.62
0.64
0.41
24.32
24.70
0.81
2.55
21.43
0.71
27(32.5 %) Mora than 3 norm. S.D.
11 (13.3 %) Between 2 and 3 norm. S.D.
. 18(21.7 %) Within 1 norm. S.D.
of known value
27(32.5 %) Between 1 and 2 norm. S.D.
-------
16/20 ESD-LV Performance Evaluation: Uranium-Radium
Radium-228
Lab
A
AE
_AF
"AUt ,
AJ
AK
AL
~'kt%>.'
l$"?f:
""AUt'v
" Attr-'
s AU; >,
AW
AZ
BA
BC
BO
BH
BK
BM
BPf'
BO
C
CA
"cc.
CE
CJ
CS
vCSt'c
Z&.\
DB
DE
.titf*
DO
;-;DB>
DT
DZ
E
EB
EL
EO
H
""mum1-
\'ซuB *
-\lljt*
'jW'wF/
FN
GN
=
0
Res. 1
2.7
1.7
2.5
i- >, ',-v,*;,~>
2.2
2.9
2.8
, t/'/V \\ซ: *A;x.V..
'*.';* 'i*-'*" ',?>'<
Aป,1.''?i-,,ป7\/-<
\ '' ' '*,v' '' * ' ' *'
' '"*-- *s>, %}K ."
2.9
2.1
3.9
2.4
:* , "" ;;"'.
2.8
1.9
2.4
C - ", s; .. '1 ,
2.5
2.4
2.6
'' "-'"I'.'- ,:"<
3.4
2.1
2.9
'';v,,,,;;;\:
1-v^r'iV"
1.8
2.2
r"i>~;v7"
't-S^'VN'
" , ,'v;\.. x,.;;'s;;-;
3.4
3.2
2.8
2.6
3.1
^ J2.1
;K^lt^
V'.V-i'>'
' * ," ''"-'^X^,^-,
/ SvX^'J'^'
" V'11* -.*' . '
3.1
4.2
Res. 2
3.0
1.8
2.5
^':~ iVl, 4-^"',
3.7
2.4
2.2
^^l^^gppf5"
'* *ฃ*x*'y A;
^''v ^-^'^!1^; '> '
Vba^jfafy' ~-'->-fVf^V:f'"~y
3.0
1.6
3.6
r^,s,x^7^v
^ , -~''A ,- ' .- .~^'" ' "'f V '.'
2.1
2.1
2.J_^ ^
;/>??3> r^'V-^'V*'1"
"2.8~
2.4
3.3
^/iฃv*~ v}v;^
3.4
1.7
2.5
^;ip|^;^>
^^^S2S^
1.9 *
2.4
7,4^ ''v^^ssfj^r ;
3.6
2.8
2.7
3.0
2.3
2.2 _
^V^^^^g)- <$$$$*
\-^s^ >!">5& "^fe" r^^ V
\\'#i$*$)$%'ฃ*- ''f'V'
2.5
4.6
Res. 3
2.4
2.1
2.4
/ ;' X."C,
2.0
2.5
2.4
S V* si"
* V s
''A'J*^''- % ''
'' , . *"%V '
'* ' ", * - " f-
3.3
2.2
3.9
2.9
' -1'', 'y
2^3
2.1
^ JL2^
2.1
2.6
,, ,A-9,
< >- 'V\ /--
2.9
2.0
2.6
WfxR
Si:^,;
1.7
2.6
*P^I'
y^^fe^'f*''^
^K^f/SปJr/ป4i;
2.9
2.9
2.6
3.2
1.8
2.2
'>^;sVf *
<'' s " * "" 'j
2.7
4.5
No data submitted
Insufficient data
X s
Exper.
Rnganal
in Water, 12-Jun-1998
Normalized deviation
Sigma (R + SR) Average
0.30
0.21
0.06
0.93
0.26
0.31
""'
""," ff j
.'. ^ --^ -, t ^
0.21
0.32
0.17
0.25
0.36
0.12
0.25
0.35
0.12
0.70
'-' i'\--. i
0.29
0.21
0.21
^W:^>V'" ;
;x-;s:i- , '<(
0.10
0.20
S'^-'-. *''
y&:~ '
,'" /
0.36
0.21
0.10
0.31
0.66
0.06
;;"^;:\^". -.
','"/ '' '
>'*v ,;*>_ ; - - '
'',--:"''' ,- '
, <
0.31
0.21
0.709
0.473
0.118
2.921
0.591
0.709
"" , '' J >x ^ """ "
' * * u
0.473
0.709
0.354
0.591
0.827
0.236
0.591
, _.
0.827
0.236
2.245
'
0.591
0.473
0.473
j
0.236
0.473
0.827
0.473
0.236
0.709
2.020
0.118
0.709 -
0.473
2.70
1.87
2.47
2.63
2.60
2.47
^^*w
^
3.07
1.97
3.80
2.67
y
2.40
2.03
2.43
2.47
2.47
2.60
3.23
1.93
2.67
"'ป;\",\
1.80
2.40
sXi,
- ;. " ',
3.30
2.97
2.70
2.93
2.40
2.17
' XX~v
_\ "
2.77
4.43
TAG SYMBOLS
s Determined
to be an outlier
(grand-avg) (known) Tag
0.28
-2.61
-0.53
, -'- 't \'ซ^*,
0.05
-0.07
-0.53
:"-ซ S"A ff.-. f,t V. f ^ ^AS V.S
, 't. , {% X * ' " \ "
T; \ '' -"- -. **
, , *},C'- , "' v';/'. '; -
; , ^; .\* , - - - >%,v
' " * '?''''' '
1.55
-2.26
4.09
0.17
,; , ^ ^ ,. ,-f-;.
-0.76
-2.03
-0.64
x-s
-0.53
-0.53
-0.07
^ "" '
2.13
-2.37
0.17
'V'Af-'^'X'^r
*v, ;-,'\", ''-/V'"
12.84
-0.76
11 s -, * S ^ ,1 '
S ^ X V J '
., " ' ^ "" \~'j , ^ <\V -."
-"'-' '- ^v*>>/ '.74
.2.36
1.21
0.28
1.09
-0.76
-1.57
"! *. X1 ' ' '/ < ~-f. J '''^l
^ . . \-' ' ' \ ^
\" \" ^, -.A-.^"'^?^
s' t """ ' "X. " .,'; '$-*x-,' ^
^ *"" * ซ ' *J^
0.51
6.29
tt s Above
Ji ^ Below
2.08
-0.81
_1.27
';V-";i - , '-'
"l.85
1.73
1.27
ซ ซ ,-. ^y-AVVS ^ s.VA^V.,sAv
'\ '^^"^^^ s's"" "'' "\"
", ^^1' ^ '\\ :'', + ^*
X ** % toA - ' :
^', '* " - * s
3.35 ft
-0.46
5.89 IT
_1.8H5^_
,v 1,'v -*'':-
1.04
-0.23
1.15
4 '** >>>-
1.27
1.27
1.73
>7;,:>-\-ซ :
3.93 IT
-0.58
1.96
?"\-, }V--'*'V-
v"> ;/>- "',;/
-1.04
1.04
"" ;,?r"/:'ป' J
\ '7 /#"'/;,
"" ** "" > ' , M
4.16 IT
3.00
2.08
2.89
1.04
_0.23_
^ ^ S /j '^ -^v * s
\T\ ^.Vv' :
'' 'V- ">, " ' ,"-"
7""7 4 -"--'>' "- '^, ,^
, f f ฃ , "
2.31
8.08 IT
control limit
control limit
-------
ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998 17/20
Radium-228
Lab
Res. 1
Exper. Rng anal Normalized deviation
Res. 2 Res. 3 Sigma (R + SR) Average (grand-avg) (known) Tag
tr
0.55
0.20
0.00
0.06
0.80
0.20
0.81
1.570
0.473
0.000
0.118
2.695
0.473
2.695
0.25
0.68
0.10
1.06
0.591
2.020
0.236
3.821
= No data submitted
0 = Insufficient data
TAG SYMBOLS
x s Determined to be an outlier
ft s Above control limit
I! ^ Below control limit
-------
18/20 ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998
Radium-228
Lab
JE,,
Q?
:*ป , *
RD
'iiVi" ^
- O'V*1
i-HiC1
~"RP"'
RR7
RX
RZ
S
sir
SF
SI
08L":-
SM
SO
ss
Isat?
' BZv
-j. f" t'~.
,~ ,T ' ', ."
TD
TN
TQ
TU
U
UM
UP
UQ
\m:
-tJZt
VA
'VBf'
VI
w
we
:i;V$i
WH
;wr
'-'W If
v V wT V y-'
WO
WR
iBtr^t *
1 ^<"
^WXr'-
=
0 5
Res. 1 Res. 2
m;"*', '.. -'>-' '
2.4
, j'-'"" " ->"* - ' * ' -, -'
','",;' ' ",; ? \ v ,; ^ ^ ;"
' ^ > '/ ' l;l.'6x$*^'v '
>=' *% * - ^X-'^r'^ **'
-V:''^;'P^ >{f
1.8
2.5
2.3
' /'" ' 6*2 - "' . :
..' "' " "., ,.<
2.4
,;. '",-' -\.v '}l'r ~" ~~*
4.3
! , ">-,' - ,,
3.0
**. f ' ^* *'* ฃt :.fc ''W^v"- <. v X"% -.
*"- v ^Jซ-O
r'T^Oii''1^"'*"'
"'>,>/ ' : -,;, f>i\** -
,'''', ' ' ,\ S
3.0
3.5
2.0
' t " '*> 5
1.8 ^ _ _
- , ''-,,;< ;- ,-
2.6
2.0
:.:' --; '
'. v /--:!'"r>;;Lx=
2.8
'-""-'.agjiS^is
2.3"""'""
3.5
2.8
v't'sY^ ^-^M^' h*j&:&/-.
?-*-.- ^ r ^y^-*1- t ^ j, &. >
2.0
3.2^
I-i.",' >w>;
2.2
l,<\ ^~
3.0
v '
,C* '-
[^0?
'1^
4^~-{
1.9
2.5
2.0
,4,5^
1.9
4.3_
3.0
!6j|?
^.'^
"-' '"* -
> -:-, ''
0.4
2.7
2.2
; '^
2.0
2.1
2.5
""s^** ft) '
\J:'*'- f 'J ~"
3.1
lij&Ms
*3.7%
2.7
3.7
^g;^|\
11 , ;^ / *
2.1
**", V \ ^
' s "- "'J^ , - 1$,
s\-"% s /," ' '
2.1
2.8
v ' * > J^ ," "x
\ ' *,'j*\-\','* ; ^~ ff'
",,--- j:\si - '-*^s?-, ;,,>
:"
2.4
3.0
fu.
-"?
Res. 3
_ซ^ป^ 2.6_
(,_J;9_
^' < } >*$" V* s ,' A,*A
2.3
'-"-.,,V4'v ' ', '
"i-/'ฃv'r"';'"/ '""
l^J?- 11.0 -\
V?--<\- -;/;
^ ' - '*'' , '' '
1.7
2.4
2.0
J'.T" '$'&'
2.2
'-; "*\ f~ " "l\
4.3
',;":, *>": ;>."ซ.-
2.5
";^'V/;'^'!
*K;r',ft"|^|-,;
',' xป.ซ' "-""'*',;
'"'.,'*'- '
7.4
2.5
1.9
,' ,- '- -;-'
1.9
" ';":- T v
2.4
2.3
yr -A tff. . ftf fffAffff y.v^ \
"X ^^.'"^''s 'X*^**^ ^V'"*-
3.3
^iป!v2C'!A.;:iS>ii~"
^I|^4i8iw
3.5
4.2
2.9
^f^^^S^f
*\^ ""t-""^'' ^'fj ^ + *'
3.1
- >
- ,
' ^ ' * ' s
3.1
3.4
*" ; f*
;ซ.';- '-^'-,
'' ' '
No data submitted
Insufficient data
X s
Exper.
Sigma
0.31
0.21
< , '".. * *
0.38
'v 1.27
s t %"
0.10
0.06
0.17
0.51
0.25
' , '
0.00
0.29
; v 0.60
-- \ "-2,52"
'- "
, ' -
3.54
0.53
0.15
' _ -^
0.10
0.25
0.25
^ ^
' 'x'"% v~- " ^
0.45
} :,' ',,
*&"?, " A;^7'
0.76
0.75
0.49
'ฃ;'*, ";'ซ<' >"- '' '"
^ ^ i ^ '
0.61
0.51
0.31
-'
Rnganal
(R + SR) Average
0.709
0.473
0.827
v
4,046
0.236
0.118
0.354
1.345
0.591
0.000
0.591
i.795
10.346
14.846
1.345
0.354
0.236
0.591
0.591
1.120
2.020
2.245
2.470
1.120
1.570
1.345
0.709
,^2.87^
_ _ 2.13
^ , * ' ff>
2.57
Sx " - ..\ ".*
< 12<3ง
"* * "''' - - ' , <
1.80
2.47
2.10
s 5:07
2.17
*'
4.30
'!- , "
2.83
' " '' , 5.87"'
10:43
^ - s *
3.60
2.90
2.03
1.90
2.37
2.27
3.27
' ' '' ' ':~ "5,13
3.17
3.47
3.13
J" ^ - 1 < ^X - ;,
' ^ > w % v ^
2.40
, - =;
2.53
3.07
,
TAG SYMBOLS
Determined to be an
outlier
Normalized deviation
(grand-avg) (known)
Q.B6^^^
;1.68_
t ' .' ''
-0.18
x ,s, ;f<~ , >, " , X ;-",''
, ,- - -'is; / s ;,]- '
,V> :">3S16ง<;--""'":'^
'"':;\'"; "'"' '*' "M "\
' ' '.*"'-' "
-2.84
-0.53
-1.80
&.4& ',-
' *; *,-'-
. -1.57
'-" ' ",/",;* '" ^ !rf
5.82
,,'!
0.74
^!': J"-;^2fc;?!^
" -' '2lO?' ":":"
[\ , _ ' '-' ' ' ',-,,/'
3.40
0.97
-2.03
- ' * ,,': -
-2.49
\
-0.87
-1.22
* -
- ^ ,.'--: -\;i
2.24
'Xf;-' x 1^71^10
1.90
2.94
1.78
1 ' -! ,- y'\-v>' x',*'-
,* * ^ -... V "\ - "* /v
-0.76
- - ' 'v i
' , ^'' '
^ ^ ""-%
-0.30
1.55
t ' ' ^ "\
%^?
1 ",* :\ --/,"M'1'
,' 1','-v^'
-1.04
1.27
0.00
10.28.
V '-
p.23
.'',. ?-i?L,
7.62
*',vV.'.
_2.54_
1^6^ฐ'>! '
28.8t,
N ff f
-.<
5.20
2.77
-0.23
?'. \\C
-0.69
0.92
0.58
:": >," - f\.
'",', Vv":
4.04
!i|^5i;!
3.70
4.73
3.58
ซ^^P;>^'
"vi "" "
1.04
";V.
1.50
3.35
* * :f * ; * .
~* 1
, "}
control
control
Tag
^vr--^
* .,
, ,,v< , ,,
\ ,> * ;;>
ฐ ~Xv '
"\ ป ' "
/ ซ-;-
" "x"'r
^ '
--,- - V"' -
' It
' >X*U,
-:W-;T
?'x\.
, *
rr
;''->: _
:': '
!,. '* -
'''**',
%tf"
i^x"*!
' tf
It
ft
- ^-~ s
;^ V
*'
"-> *
It
A^--
" ''
*
limit
limit
-------
ESD-LV Performance Evaluation: Uranium-Radium in Water,
Radium-228
Lab Res. 1 Res. 2
X 2.6 2.5
:*H^ฃf* ^"^-^^-^y, ^C^Vv-vfj'^wttt^v^WKS^
XA x" * " ^ * x ^v'^ ^vt*;\*^^^^t-
' W-rfr '* % ' S'ซ*ซ\V Xv~&NJ WiC^i^ "*" ^^
m\^5i:j^;;P?
XI 4.4 3.1
-JSK, - - x.,^ -' ;'- jAc-:':^
XL 2.0 2.3
XM _ J-4_.__1J
xo "T ^ :";l^^^pf^
_XQ>- ;'< f^^^^^?;^
;XR v; ^ , J, ^|";^ --S'-^f^T^f
^^>^ii^fiis
Exper. Rng anal
Res. 3 Sigma (R + SR)
2.5 0.06 0.118
V^^swy^v^ % w^VAWJt* V.-. *<* w. A-.^ vw-v, w,-w " v ซ v % %,. %<..s<;% sซ
^"'*\V*cV- "^T - "- ^ - s Xl>t>v
S-,' "V\ " 8C^ V^ ^ > ' \ >o t - \ S * V -. \ " " ^ ' ^ --1 *
MH^fi;v' ->^': - >;
2.8 0.85 2.695
''-"^V-V ' X -v - " \-:- '::
2.5 0.25 0.591
^* . ^ ^ .9:5^ ,1-345
^^X-^r^^T^"^'-"^'*;1 V " "T "^'^ '" '' *
JlS^^xift''^^'^-^ "''f'^^-'Ciri
^yr^^^^V -T, ;^^\7' '," - '\'" '"x
f^^i^S^v^ll^
12-Jun-1998 19
Normalized deviation
Average (grand-avg) (known)
2.53
WWS V. *. -. -. AU^> V ซW. ^-SV. W^WM^W
," ^r *x \ ^
" ^x-j v* i\ " \ ;\ V " v^ -*
*A^V ^*"^t%"'k^ -V o *"ซ: xv s
3.43
- ' ^;K'>
2.27
1.83
-;?;H^-^^;---;:;
f \-.*? * ^"v^st^V^1'1'*^^ r
" v' "" ^ \> V-^^j.^
^!^i|^^;Sj
-0.30 1.50
"*i %* AWW - w ~w~,ซs ซ V. . v^v* ^ *
\v, v^-^- - ;, \ "
^^x^^^^^x^-i ?\ % * * ^.,
\:;^N;^.', ^ v> - , ;;^ ,
2.82 4.62
-- , ",- ' -""
-1.22 0.58
-2.72 -0.92
^^r:.y \-'^f,;-
,v> J'Svior- - I \* %' % *^ "
* r!r\^vs\r~ ' **y; ~,
.^?M*'^:
^
/20
Tag
*ซ*ซ V ~ซ
" *
' *
""'*
ft
, * ,
vV^f.
';'ป*'.
"-* o
X,*.
Data sorted by Laboratory Average
Average Tag
1.30
1.53
1.70
1.73
1.77
1.80
1.80
1.80
1.83
1.87
1.87
1.90
1.90
1.93
1.97
2.03
2.03
2.10
2.13
2.17
2.17
2.17
2.27
2.27
2.27
2.37
2.40
s No data submitted
0 s Insufficient data
Lab
JS
MX
KB.
D3
HL
RX
HK
DB
XM
P
AE
U
OX
CJ
AZ
TQ
BK
S
QZ
SI
Q
EO
XL
UQ
O
UP
WH
Average Tag
2.40
2.40
2.40
2.40
2.43
2.47
2.47
2.47
2.47
2.47
2.53
2.53
2.57
2.57
2.60
2.60
2.63
2.67
2.67
2.70
2.70
2.77
2.83
2.87
2.87
2.90
2.90
2.90
TAG SYMBOLS
Lab
EL
BH
HE
DE
BM
RZ
C
BO
AL
AF
X
WO
RD
L
CA
AK
AJ
CS
BC
E
A
FN
SS
QU
GQ
TN
PW
I
Average
2.93
2.97
3.07
3.07
3.07
3.10
3.13
3.13
3.17
3.17
3.23
3.27
3.30
3.43
3.47
3.53
3.57
3.60
3.63
3.67
3.80
4.30
4.43
5.07
5.13
5.87
10.43
12.33
x =ฃ Determined to be an outlier
Tag
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
ft
x
x.
X
X
X
ft s Above control
$ s Below control
Lab
EB
DZ
WR
JY
AW
HP
we
N
VI
JE
CE
VA
DT
XI
W
KL
K
TD
MF
NJ
BA
SM
GN
SD
VH
sx
sz
RK
limit
Limit
-------
20/20 ESD-LV Performance Evaluation: Uranium-Radium in Water, 12-Jun-1998
Radium-228
% responding labs Frequency distribution
10
-i.i-.r i in .HT ii y. ..i...
-6 ' -4 ' -2 T +2 ' ' -^ ' +6
Normalized deviation of the mean from the known value
responding labs Frequency distribution
. :-- II Til -if. if - -T...
4-20+2
-6 -4 -2 0 +2 +4 +6
Normalized deviation of the mean from the grand average
------- |