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After reading Jon's explanation of how much care is put into creating
exit polls, I am nevertheless struck at how creating good exit polls is
an art rather than a science. It requires intelligently guessing what
the sources of bias might be, and working as hard as possible to remove
them. But there may be other sources of bias that they didn't think of,
and which only appear in elections somewhat rarely.
And a problem with calculating a p statistic that is way small is that
this is the chances of such a thing happening in any one election, when
you really need to be computing the chances that it would happen in any
of the huge number of elections that have had exit polls computed for them.
Also, from an anecdotal point of view, I wouldn't expect the exit polls
to be consistently wrong across the board unless there were a large
scale effort to subvert the results of the election, and to do such a
thing in total secret without someone somewhere spilling the beans is
just not feasible as far as I can see.
But more than that, I have spent some time thinking in general about
statistics. Some of the large data problems that people are dealing
with (e.g. microarrays that Jon told me about recently) is revealing to
me just how ad-hoc statistical methods are. As best as I can see the
only statistical method with any pretension to any kind of solid
foundations is the Baysian method, but my impression is that for large
data problems it tends to give way worse results than the other more
ad-hoc methods.
I personally question the very assumption that the laws of probability
can be applied to real life questions like "how likely is it that
Macbeth was written by Shakespeare?" Probability theory has had a very
fine development, and works extremely well for computing chances that
certains hands will appear in poker. And indeed if you try playing
games of chance without knowing the laws of probability, a clever person
can rip you off big time. But I think it has been simply assumed that
these same laws can be applied to problems like how effective
medications are, and I am now wondering if this assumption is truly
warrented.
Stephen
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