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One Parameter Model for Three‐Factor Interactions in Contingency Tables
Author(s) -
Ama Njoku O.
Publication year - 1994
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.4710360708
Subject(s) - contingency table , mathematics , statistics , contingency , econometrics , square (algebra) , yield (engineering) , epistemology , philosophy , geometry , materials science , metallurgy
This paper shows that the sum of products models for three and higher order interactions in contingency tables can be reparameterized in the spirit of TUKEY (1949) to yield chi‐square tests with one degree of freedom. The merits of this new test over the other known tests for the same hypotheses are discussed.