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Normal Approximation of a Discrete Distribution on Exact Test of Uniform Association in a 2 × 3 Table
Author(s) -
Tomizawa Sadao,
Seo Takashi,
Kikuchi Seiji
Publication year - 1996
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710380609
Subject(s) - mathematics , contingency table , pearson's chi squared test , chi square test , statistics , test statistic , statistic , extension (predicate logic) , exact test , independence (probability theory) , association (psychology) , table (database) , statistical hypothesis testing , f test , computer science , data mining , philosophy , epistemology , programming language
For the analysis of 2 × 3 tables, TOMIZAWA (1993) considered an exact test of uniform association, which is an extension of independence, and then derived a discrete distribution. This paper gives a normal approximation of the discrete distribution and describes that the normalized statistic can test a one‐sided hypothesis on the uniform association. Also it points out that the square of the normalized test statistic is equal to the Pearson's chi‐squared statistic for testing the uniform association.