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Re: Radon and Lung Cancer: What the studies really say.
I do not think you understand either the significance of R2 or cross level
bais, but we have been down that road too many times. I have just read your
passages you cited and they are far from persuasive. Your smoking data should
be able to eplain the variabilty of lung cancer mortality especially in such a
large data set. A simple plot of the data shows the poor agreement. The
predictability of your lung cancer mortality estimates do even a poorer job of
predicting the variation in mortality incidence for the time period of
interest.
At this point, let's agree to see if the NCRP provides a view on the adequacy
of your smoking data since this dialogue is going nowhere.
Bill Field
>
> On Fri, 20 Jun 2003 epirad@mchsi.com wrote:
>
> > We repeated the
> > regression of lung cancer mortality rates on these adjusted smoking
> > percentages. The resulting R2 values indicate that S explains only 23.7% of
> > the variation in lung cancer mortality rates among females and 34.5% among
> > males.
>
> --The problem here is that you do not understand the meaning of
> R-squared. It's affected by all the small random fluctuations in smoking
> and lung cancer rates; this was explained in my paper in Health Physics
> 72:489-490;1997. A much more meaningful test of the ability of our smoking
> prevalences, S, to explain lung cancer rates is to do the same regression
> you do, fitting the data to
> m = P + Q S
> where P and Q are fitting parameters, and observe the standard deviations
> in the two terms. From Table 2 in Item #15 on my web site (the factor 100
> in Column 3 should be deleted)
> P = -9.7 +/-2.1 and Q S(average) = 60 +/- 4
> Thus the second (smoking)term is completely dominant, with negligible
> uncertainty. (The minus sign for the first term would suggest that with no
> smoking, there would be negative lung cancers)
>
> --One of the three methods I use for determining S-values is to
> derive them from the lung cancer data for counties of similar radon
> levels. Surely you can't claim that these do not explain the lung cancer
> vs smoking relationship, as they are derived from it. Using those S-values
> gives only a slightly higher R-squared, 41% vs 35%, and
> performs well in the above test
> P = -10 +/-2 and Q S(average) = 66 +/- 2
> It gives very similar results to those obtained from my principal set of
> S-values, that is essentially the same discrepancy with LNT
>
> > The poor predictive power of S is due, in part, to a failure to allow
> > for the effects of smoking intensity and duration.
> > Cohen’s failure to
> > incorporate intensity and duration in his analysis naturally leads to a
> smoking
> > variable which accounts for fewer lung cancer deaths.
>
> My not using smoking intensity in my original work was due to the
> fact that I was using the BEIR-IV theory which does not include intensity
> of smoking. Two of my three methods for deriving S-values do incorporate
> implicit weighting for intensity of smoking -- deriving S-values from lung
> cancer rates, and from cigarette sales tax.
> However I do give an elaborate treatment of intensity of smoking
> in Health Physics 78:522-527;2000, summarized in Sec. 4.4 of Item #7 on my
> web site. It shows that this can do little to resolve the discrepancy with
> LNT.
>
> > Puskin's finding further supports that you smoking rates do a poor job of
> > predicting lung cancers in counties since your inverse assocaition was found
> > for other smoking related cancers which are not related to radon exposure.
>
> --This is thoroughly refuted in Item #15 on my web site. Can you
> say how you find that it is not conclusive.
>
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