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Radon and Lung Cancer
The large size of the data set used by Dr. Cohen gives me considerable
confidence in his results. That large size will eliminate many problems that
might be present with a smaller data set. Consider that to predict the
results of a national election, a sample size of only a little over a
thousand voters is required to give a result accurate to within about 3%. If
the polling service increased the sample size to 100 million voters, then the
error would be reduced considerably and assuming no one changed their mind
and the sample was randomly selected, the result would be just about fool
proof in terms of any significant statistical problem or confounding factor.
Or course taking a sample that large would be prohibitively expensive but
that is beside the point in this context. Cohen's data resembles the sample
size of 100 million voters more than it does the sample of 1,000 voters. The
only thing remarkable in this situation is how resistant some people are to
the obvious conclusion. The obvious conclusion is that contrary to
expectation, lung cancer has a strong negative correlation with radon
concentrations, suggesting the possibility that radon may helpful in
preventing lung cancer deaths rather than promoting lung cancer. But is this
really such a shocking conclusion? After all, radiation has been used for
many years to treat cancer. There is a slight possibility that his results
are an illusion but the probability of that is small, given the amount of
data that produces the negative correlation. Sometimes it pays to be
convinced by the obvious, rather than to get hung up with details that have
little impact on the overall picture.
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