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Our Correspondence in April 2004 issue of Health Physics News
Dear Jerry:
Your response to my letter, both published in the April 2004
issue of Health Physics News, is extremely difficult for me to
understand. Hopefully, you can help me understand it.
You state "The observed negative correlation between various
smoking related types of cancers and radon strongly indicates that the
negative correlation between lung cancer and radon is due to confounding
by smoking". But the smoking variable, S, is included in the analysis
for the express purpose of removing this confounding by smoking, so the
only way I can interpret your position is to assume that you believe my
S-values, which you use, are erroneous.
But, as pointed out in my letter (referring to my paper in
Health Physics 86:203-204;2004), I mathematically demonstrated that no
possible set of S-values, irregardless of their size or the shape of
their distribution, or of how they are assigned to the 1600 U.S.
counties, changes your observation of similar dependence on radon
exposure, r, for lung cancer and other smoking-related cancers. Doesn't
this prove that erroneous S-values are not the problem? Surely you
cannot question a mathematical demonstration unless you can suggest
something that might be wrong with it? You, or anyone else, can easily
repeat my mathematical demonstration, and I am certain you will find the
same results.
You say, without explanation, that you do not agree with my
"recent treatment of confounding by smoking". Does this refer to my
procedure for treating it? But the procedure I use is your procedure,
double regression on r and S. I never used that procedure until you
introduced it to make your point.
Please explain specifically what you do not agree with when
you say you do not agree with my analysis.