On Tue, 19 Feb 2002, Wuensch, Karl L wrote:
>
> I would not put too much effort into making sense of this, since it is
> highly unlikely that Fisher's exact test is appropriate for your data.
> Fisher's exact test is only appropriate when both of your pairs of marginals
> are fixed -- that is, when you could specify, prior to obtaining the data,
> exactly what both pairs of marginal frequencies would be
<snip>
>
> A traditional Pearson chi-square, NOT corrected for continuity, would be
> appropriate.

I appreciate Karl's expertise in helping me make sense of this
apparently anomalous result. But I wonder whether his
interpretation of the Fisher is unduly conservative. My copy of
an old edition (the first, actually!) of Siegel's classic
_Non-Parametric Statistics for the Behavioral Sciences_ says this
about the requirements for use of the Fisher:

"The Fisher exact probability test is an extremely useful
noparametric technique for analyzing discrete data (either
nominal or ordinal) when the two independent samples are small in
size. It is used when the scores from two independent random
samples all fall into one or the other of two mutually exclusive
classes. In other words, every subject in both groups obtains one
of two possible scores".

Of course, the chi-square is a more common alternative. But for
some other proportions in the same data set, small cell size made
chi-square use invalid. So for consistency, I thought it best to
use the Fisher for all the tests.

The problem seems to be with that left tail!

-Stephen

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