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AN EXACT MULTIPLE COMPARISONS TEST FOR A MULTINOMIAL DISTRIBUTION
Author(s) -
Shaffer Juliet Popper
Publication year - 1971
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1971.tb00471.x
Subject(s) - multinomial distribution , pairwise comparison , mathematics , statistics , test (biology) , multinomial probit , distribution (mathematics) , exact test , sample (material) , econometrics , multinomial logistic regression , mathematical analysis , chemistry , chromatography , biology , paleontology
An exact procedure is developed for testing directional hypotheses concerning pairwise differences between category probabilities when the data can be considered a sample from a multinomial distribution. The procedure is illustrated in the case of three and four categories, and is compared with the exact test of the hypothesis of equal category probabilities proposed by Chapanis and modified by Gridgman.