A generalization of Fisher's exact test: rock-paper-scissors and friendly ghosts
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Abstract: Fisher’s exact test, named for Sir Ronald Aylmer Fisher,
tests contingency tables for
homogeneity of proportion. Here I discuss a generalization of Fisher’s
exact test for
the case where some of the table entries are constrained to be zero.
The resulting test is
useful for assessing cases where the null hypothesis of conditional
multinomial distribution
is suspected to be false. If the (unconditional) proportions are
indeed identical amongst
rows, they may be estimated using likelihood techniques. The test and
estimators
are implemented in the R programming language in the form of two packages.
This talk is part of the Statistics series.
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