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LNT and Collective Dose
Dr. Cohen,
Do you agree with the definition below for ecologic fallacy and my points
below (especially number 6) below in response to Ruth's
question?
Ecologic fallacy is merely an
inappropriate conclusion regarding relationships at the individual level
based on ecological data (Kelsey et al. 1986).
However, ecologic studies inherently have many weaknesses that lead to an
inappropriate conclusion. For example,
1) in case-control studies nondifferential (or random error) exposure
misclassification usually causes bias toward the null. However, in
an ecologic study nondifferential misclassification can drive either
sizable under or over estimation of the exposure disease relationship.
2) Using summary measures (like sales tax to represent smoking
prevalence) for a county is very inadequate to control for confounders.
3) Some factors that are not confounders at the individual level can be
at the ecologic level. To have any hope of control for confounding
at the county level, you need very detailed information on the
confounding and exposure variable distributions within a county.
That is why I previously suggested to Dr. Cohen that he try to obtain
this information (method suggested by Guthrie).
4) Jim Muckerheide often cites the large numbers of counties in Dr.
Cohen's studies. But, the availability of large numbers does not
eliminate biases no matter if you had an infinite number of
counties. Large numbers do help improve the precision (narrow
confidence bands), but the large numbers have no effect on reducing
biases. In other words, the finding can be precisely wrong.
5) I have seen no data from Dr. Cohen to show that the risk factors
within counties are not correlated. Unless the risk factors are
purely additive (and I see no evidence of that), the dose response
findings for the ecologic study will be biased.
6) Ruth, in your example below, the population is not at all defined so
the concept of collective dose and collective risk can not be used.
Collective dose and collective risk can only begin to be considered valid
if the exposed population can be well described and
quantified. For example, many groups of workers who may have
a higher risk of exposure can be quantified by age, job description, sex,
length of employment and a multitude of other factors. The general
(working) group I described above has many more demographic details than
is available in ecologic studies. If you don't have better
demographics than are available in a county ecologic study, you likely
should not be using the collective dose concept.
Best Regards, Bill
----------------------------------------
At 09:45 AM 2/12/2002 -0500, RuthWeiner@AOL.COM wrote:
Dear
RADSAFERs
I am working my way through both Field et al (and some ancillary papers
kindly sent me by Dr. Field) and Dr. Cohen's papers (thatnk you, Bernie,
for sending them). I am trying to understand the papers with all
their nuances. I believe this can be done by a reasonably competent
scientist like me (Ph. D. -- chemistry) without special training in
epidemiology, but from time to time I will post questions -- real
questions to which I would like real straightforward answers -- on
RADSAFE. Let me say at the outset that these questions are not
intended to castigate anybody or take sides. If I use the LNT in a
question, it doesn't mean I endorse it. The questions are for
information. (and if they sound repetitive to the individual
who accused me of "me too-ism" well, that can't be
helped). So here is my first question, about the "ecological
fallacy."
Let us say the cumulative dose to a population of 10,000 persons is 1000
PERSON-rem. Then, according to the LNT, one might expect 0.5 excess
cancer in that population of 10,000 (0.0005*1000 = 0.5). One can
also, independently, say that the average dose is 0.1 rem (1000/10,000 =
0.1), or 100 mrem. But to say that therefore the average expected
cancer incidence would be 0.000005 (0.0005*0.1) is the fallacy in
question. Essentially, "average individual cancer
expectation" or whatever is meaningless. Have I got it
right? If not,what is my mistake?
(The LNT conversion from rem to cancer is from ICRP 90, page 22)
Ruth Weiner, Ph. D.
ruthweiner@aol.com
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