Document mBDL2qZvE8oer8rbazkzRnXjd
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ESt&BUSHED BOS
E. I. d u Po n t d e Ne mo u r s & Co mp a n y
INCORPORATED
Wil min g t o n , De l a w a r e 19898
ENGINEERING DEPARTMENT LOUVIERS BUILDING
August 19, 1985
BCC:
D.R. Diggs-C&P-B16262 P. Meitner-Legal-D70 82
G,,,,,M<&Lerw-ESD
W.H. Walsh-ESD IC13 AH&IIE
Dr ,, David Weil Project Manager Air Quality Criteria for Lead Environmental Criteria and Assessment Office MD-52 U. S. Environmental Protection Agency Research Triangle Park, NC 27711
Dear David:
Attached is a copy of the paper, "Variation in the Relationship between Blood Lead and Air Lead," by R. D. Snee, S. P. Bailey, W. H. Fellner, and C. G. Pfeifer, published in Atmospheric Environment, Val 19, pp 1017-20 (1935), which is herewith submitted to the Lead Criteria Document docket, ECAO-CD-81-2.
As in the past, we wish to continue to contribute to establish ment of a sound technical basis for the Criteria Document. Accordingly, we wish to participate in any workshops or other meetings to resolve the issues on the blood lead-blood pressure relationship which were raised by Professor Royall and others at the May CASAC meeting.
Very truly yours,
ENGINEERING SERVICE DIVISION Air, Hazards and Health Engineering
(jW CLtAAMoi [dl \)
3. M. Pierrard Senior Consultant
JMP:dll JMP1:68
Atch
cos Mr. Robert Flook U. S, Environmental Protection Agency
Dr. Lester D. Grant U. S. Environmental Protection Agency
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: Voi. jc So. 6. pp. 3017-5020. ISfcS
*
s.-.ui; - too re-punos rn^f Lii
SHORT COMMUNICATION
''-ri&A
v ar iat io n in t h e r el at io n s hip bet w een bl o o d l ead an d
AIR LEAD
'
. AN-'rVi-V-'CA;..'
.
(Firmi-eceuredTS November 3983 end received for p-jolicaiion S November 1984}
Abstract--Estimates of the slope of the relationship between blood lead tpf di": ,i anc air lead iy-c rr."; i
obtained in ten independent studies are compared. No sienincarti differences ves delected among the
estimates which ranged from 0.6 to 3.i jig dT' per
and represented Etit adult, female adult and
child populations. A single best estimate of 1.2 pgdT; per jig ns~:" (0.2.95 per cent confidence limits) was
obtained. It is concluded than if the blood iead-ai? lead slope depends on venous physical and biological
factors, then studies providing more precise estimates are required to detect these differences.
- 5 "` ' JCey vori index: Air lead exposure, blood lead, uncertainty.
Iri '
"s u mma r y ^. ..
weighted average slope varies from 0.9 04 to 1.4 0.6
depending oirwhich slopes are included in the analysis. The
,;>r.-Chamberlain < i 9S3) provided a comprehensive review of estimate of the blood lead-air lead siope derived from all the ^'stuoies nivestigating tberelaDanship bet ween-blobd lead and', .data*-in Table 1<.is 1.2.0.1 This combined; estimate is barn JeadkHe concluded that estimates'of the'blood lead-air indicated by the horizontal dashed reference lint in Fig. J.
- -lec-ri slope, denoted by.-te. varied from OS to 3.0/red)'1 per
vf'^gmj^-depencing on the,study. He noted tfcartbe statistical
uncertainty (95'percent confidence limits) in these estimates twas^seiy.ldss than 0.7 and that * ... r' - v T..;: .vV. _
TESTING BETWEEN-STUDY VARIATION OF SLOPES
*' 'Y r ..NariciiS extrianarions aiay.be souaht for the divergence
A critical step in the interpretation ofa set ofblood iead-air
I-'.. ......lead-slopes' fromcdincrimf^rudies is die determination of.
& of;.;...... :?"<* p-esEfieewa by both physical anc biolcgicdl.TacipiL.'Tiiesel'.
whe:her.rthererarefla^r3^Sst!cal!y' sigriincant differences -
among "the esnmaisdjsialusc;-Oite useful ^approach' to the-
TAT r:TKjudt:nonlinearity;ofid6se response, eSetts ofparade ' T.T;.s2i. firman variability-in breathing patterns and venti-
-tenc "rates. the varying extent to which the.tneasure-
solution of this prcblem cs'.the.maximum likelihood pro-' csdure described in this-section, which requires from each
i its standard error (St. John
;mer.tsof?bA correspond to the subject's real exposure..-
fed'the.co.-ttribud6iitof:andl]ary- variables bon-diared
VitivPbA-.
- h-.:r- "e "tU3"*n-'
where the tth estimated
slope is expressed aa the sum of independently distributed
Some of these factors contribute t o the statistical un normal variables denoting the true slop; and estimation error,
certainty ir. tne estimates. The question remains as to whether we iel e, be tbe ith estimated slope, c its standard error, and
thesiudy-to-srudy variation in the estimates of a are due to c\ the beiween-stuoy variance component It follow? that a.
A differences in other factors: he. variation above and beyond the vector of e.'s. is distributed normal with unknown mean
that contributed by the witfcin-stucy uncertainty in tbe vector c 1 and variance-cova-anee matrix V = tr| 1
different estimate? of a. A. statistical evaluation of this issue is -- diagfrfl. where ! is r vector of ores ar.c 1 the Identity
the subject of this article.
matrix. V is a diagonal matrix whose tth ci&cor.ri ricmer.t is
A: least 10 studies of the relationship between blood lead c\-i-c? and the
are assumed Imowr.. Toe procedure
arte'air lead have appeared in the literature (Table 21 The presfoes estimates of r\ and the overall average true slope. =.
results of. ttt-eie studies arc commonly reported as a slope 1: c'f = 0 then : is the t-tngle slept cemtr.or. tc t.-.t population
.(change-in .blood lead per unit change in air lead!and its groups considered.
- associated uncertainty. These results are summarized graphi The likelihood. L. is proponiona! to
cally by the. approximate 95 percent ccnnoence intervals -shown in F.-c. 1. V>'i:h one exception, a range from 1 to
(Vj -* ~ exp[ -- 1 ."le -- a! V v*: i- -- ell].
2 eg cl's per eg m"f is consistent w;td these studies. It is of Tot likelihood rauo unctr the r.tl' hypothesis, r; = i?
interest to determine whether there ate any statistical:) cl cn b; 1 = i_.. L-_. where L: is t:t; itVtiihr-vd ortamec
signiSum: differences (i.e. variation:among (s) trteestimaiec using the maximum iikeiiinoc-d esttmatt fo; c and ri ur.c' 2;, is
slopes in Table 1 and (:i| the estimated slopes wham male the likelihood ustne the maximum likelihood estimate for e
' adult female aculi and child populations.
when tr: - 0. Tne test starisbe. -2 log/- is approximately
d Ifthere is no berween-study variation in the slopes, then all cismibmtd as chi square whit one degree of truedcm under the
Slopes are estimates of a common slope and it is appropriate null hypothesis. Large values of -- 2 log ;. suggest that the null
-''to'.compute a weighted average slope to estimate the single hypothesis, cr; -0, is not true, indicating that the sieges are
, "trite" slope of the blood lead-air lead relationship.
not all estimating a single true' blood lead-air lead slope.
'..A"Using she methodology described ir. the next section, it is
Table 2 prorides a summary of the analyses performed
concluded that we cannot reject the hypothesis of no Significartt bstw-een-siucy variation is mainly due to the
differences among the slopes of the d Io d c lead-air lead Goldsmith adult male slope of - 0.1. which is out ofline with
- '-relationship reported in Table hand further, that there is mo the other estimates (3.7 standard errors from the overall between-study variation among the slopes within male adult, estimatel and implausible. No significant between-study
femaie adult and child populations. In Table 2 we see that the variation among the slopes of maie adults (analysis 1.4).
1017
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Table 1. Studies of the relationship between blood lead anc air iead
Population Study
Ko. of subieets
Biooc ?b-Air Pp slope*
Estimate Sid. De'.
Via:; adults
F trr.a,c acuits
Clinical adults
A3a:
j ohnson
Nordman
Tsuchiya
... .. _ _
;' Golasmithty
Fugas
t: 336
537 ' -89.'
352
0.9 0.8 i.: 3.1 -0.1 > n
0..-5 0.50 3.10 0.35 0.-5
Teppcr-bevlr. J ohnson Nordman Goldsmith Dairies (Spring) Dames (fall!
1S35; 56
578 79
61 88
i.i 0.5 (t.6 . 0.7 1.6 3.4
0.90 0 30 0.45 C.35 0.85 0.60
Griffin (37g2m~5)
13 1.7 1.06
Griffin (10.9 pgra-*):
. 8'
1.5
078
'{Johnson (Male)
-;..:37 c.;; V..-- .3.4 :~ /_ 030
i-VJobnson. (r entale)b'-''.-f5TSfe D "43 cd viU 2 j .-r: .-0:30
ffXanhelt- >
'-880 "
17 035
:Go!dsmithT
-
486
7.0'
0.65
* Estimatestarid-siandard deviations reported by'Snee (1981%' tTneTanlrel and Goldsmith studiesincJuded'boih male and female children.
Siiss8
........'...............................-a-..y- ;,w....
,-it US.
7-^
W<r -v;
rt
>j ms
'
I it-*.'..-i. ~ v
!!
iJi i
.1----- i----- ;----- :------1----- 1 - i-- ------ i----- ;----- i----- 1 A- -J ... N. T G .. F-- .. . T-L J N G D- D,
ma l e a d u l t s
FEMALE ADULTS
G3 Z Grc.S
CLMVICAl ADULTS
Ji,. A Y C CK!LD=.= !V
rig.'i:' Plot ofblood lead-air slope estimates and assc>ciaied approximate 95 per cent confidence intervals. S: udies arc identified bv first letter of senior author's last name. The horizonml dashed reference !mc corresponds to I bt combined
slope estimate from all studies.
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Tabieu. Blood lead--air lead slope:combining estimates from various studies
Nc. cf studies
Male
adW4
Populations in analysis
Female aeub.s
Clinical
acuits.
Children
Average slope
Setweenstudv
Estimate l r-ce--rr - Cm-vqua'e l
i . ~'..3A -^$2.
6X 5 X
-6 V. '
3 i: x :-a u X
*. X AA 7 X < 14 X 5A 13 X
64
.7 . 7A '
. 16 .. 35'
X X
gtfgps
rX--
-cTC^-X X
X X
V
X X X
XX x
:.i ;o.cO*
3.4
-- 0.6
3.57 N-S
09
0.4
0.00 NS
3.5
0.4
939-
i ~ 0.4
:*
i.:
mCe
: o.7 o'
3.4
= 0.4
;.?s n s
i.:
= 0.4
30.20*
1.2
0.4
%oy
X
3.5 . 0A
0.00 NS
X
i2
0.3
7.5K-
X
351
0.3
2.31 NS
:TM12,sLr 12
-03. ......7.88V ..
0'
220 NS
'. *3erweer:-study-variance component significanily different from zero (F < 0.05).
- .-?.* '-T-'iceGoidsmitb-AdulxssiODeof --0.1 was deleted from all analyses denoted bvan A. This slope is untealisucallv low
nor-eonsisteerwirh rheother estimates: "
v.r-'
'*.
;T"0 standard deviation limits which are approximate 95 per cent confidence limits. These limits aje based on
.... -estimated values of the betw-een-srudy and wjthin-siudy variance components.
l-.V-'"'-' ,-EChi-square statistic (--0 logv.) for ihe between-srudy variance in-slope estimates. . KS Betw-een-study variance component not statistically significant
,
a ?t
.'.vift,..s.-.:cy--p
.
v (analysisHkcmidrenfanalysts 6),|oj.ai.-Eroups
' ' iVccshbir.ec (analysis SA.) was detected, norderiihessgnincance.
'-
: 6.05j was detected in two of the other-four-analyses (3A r litis-analysis has indicsi*3That no significant, differences
and SA) where some population groups were combined. Dae f F sS 0.051 were detected among the estimates of the siope of
toihe lidr of stronp evidence of within orbetween population the blood lead-air iead relationship from the ten studies
._ t.j. -.V.-'iisroupvhiistioninibe slopes, it is'concluded thatacocntiinsd considered or,from amcnsisiimates within adult rnaie. adult
SC- riopeiprorideSTSi best'estimaie ofdhe rehtlidnsFiplbetween: rtfemajeTor cniid -populaac(a%fp!ips. It follows -that, a: this
. bloodJead ar.d air lead. V'
time, the-overall weighted average of 3.2pcdl~ per ugitri i C.2, 95 per cent eonScence iinhsi provider the best
estimate of a common sic-pe.
.-.a,*.- COMPUTING THE WEIGHTED AVERAGE SLOPE
it is apparent that the uncertainty in many of the estimates
\fhvTr ;-V..
; ' V;-;,
........... '
is large with 95 per cent confidence limits of 0.7 io 1.0
''LV'TCiw -weighted average `slopes reported in Table' were about the estimate. is concluded that studies which yield
crtnp'Jiei by itsrativtty soiling the following set of equations more precise slope rr.ima'es at; needed tc- dtte--.me the
e -- U'V~ :xi (I'V: 1)
importance cf tie terror; rc-tec by CVmbertritt. This v. necessitate the r-i-.ner rcr.tro; of some variables and the mote
'-rf-VaflSt]'1 - tract (V*1)** fc - ir\~* -21) Y = cji -r-diag refg.
accurate measurement cf others. Snee < 195I I recommended that studies of the relationship
betw-etr. blot c lead and air leac should have the ht '-ir.r key
YTHTse'S estimates, which depend on the estimates of between" study variation. 6|. are in good agreement wj;h those derived . by Snee (1951 X which w>ere computed using or.iy the epi-
denioiopr studies and where :: was implicitly assumed
or = 0.
characteristics! air lead exposures be measured by personal monitors: biooc samples be obtained from each subject or. at least two different days: lead itvei in each sampie be measured :r capikate: and. statistics: calculations tv made tc ensure that t.Sficiert fur, sets ar-. tided to estimate the rl--r-e - tab the desired r'irifcr. Ar- a: certainty cf -0.: or let* -rf per
5ioc>d ?b-A.ir Fh slope
cent confidence limits; is a reasonable coai. Persons ctsgmnf such programs may wish tc review- the study of .Anar a: of.
pobuiation
Saee (39S3)
Tnis analysis
il97r! which had these characteristics.
` Y. '?aA'i503
Female actulss . ... QP0.4
Oiidren '
13 = 0.3
AE subjects
Not reponed
' 3.4 0.6 0.9 0.4
13=0.4 35! 053
Engineering Dencnm^ni E. 1. du Pom Cr Semours one Co. HiImington, Deia^-are 39S9S. i .S.A.
Ro n al d D. Sn h e" St e v en ?. Ba il e s 'ATl l ia v . K. Fe l l n er Ch a r l e s G. Pf ej f er
' 'Ai -i jA- .diagnostic check on the validity of the distribution
" "assutaprion underlying this analysis was made using a
probability plot of the quantities (a, - S', (<r j --
which
.showed reasonable agreement with ihe standard normal
" New- address: Er.pnstrirtg cepar.mtm. Beaumont works. E. 1. cu Pont de Nemours and Co.. P.O. Box ~yrc x raLmcr.t. TX 77704, U.S.A.
i J
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Shon Corr.irtunica.tion
REFERENCES
Ahar A_ Snee R.. D. and Kabibi K. t!S'!5l An epidemiological
approach to conmuntry air lead exposure using personal
air S2crpies. in Em-tronmemal Qwihty end Sedeiv--bead
Suppiemen:. Yel. II 'edited by GriSn 7. 3. and Kneisor J.
H .. ~r.
1 Asedstrsic Press. Lcncon.
ib.arr.beriarr A. C
Effect of airborne ieac or; biooc
ie^C. .-'.''-.. rrr.t-.; r.rrenn:i-r.: if. 67"--e92.
Su John D. S. Bailey S. P. Feline: W. H.. Minor 2. M. ana
SnteR.D. (19S1J Time series search for trend :r. iota1 ocone
measurements. J. geopnys. Res. KoiCSi. 7299-7F ii.
Sr. john D. S., Bailey S. P_reimer W. H_ Minor j. M. and
Sn=e R. D. (19S2t Time series analysis of stratospheric
ozone. Commun. S:e:is:. The.-*-- Merhc'ds J~. 1292-1".-".
Snee R. D (1PM i rvai jaber stccirs of :: c rcia'.o-.s:.:;
beta-eer. blood ieac ar.c a:: ieid e:
.-;,`sr v:-
22 tin 48. 2; 1--292.
-r i
Afj'Ss'r!:!
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