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Biometrika 1975 62(2):379-382; doi:10.1093/biomet/62.2.379
© 1975 by Biometrika Trust
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Value systems for comparing three or more independent multinomial trials

MITCHELL GAIL and JAMES WARE

National Institutes of Health Bethesda, Maryland

Gail (1974) defined a value system as any real function on the outcome space of a multinomial random variable, and he showed how the mean value of this function can be used as a figure of merit for comparing two multinomial populations. Thia note generalizes those results to the comparison of three or more independent multinomial trials. Methods are given for finding that value system, an eigenvector, which maximizes the differences in figure of merit among several multinomials.

Key Words: Categorical data • Comparative multinomial trials • Contingency tables • Utility • Value System


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