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A comparison of tests of homogeneity of odds ratios in K 2 × 2 tables
Author(s) -
Paul S. R.,
Donner A.
Publication year - 1989
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780081205
Subject(s) - homogeneity (statistics) , statistics , odds , econometrics , mathematics , computer science , logistic regression
We conducted a simulation study to determine the performance of nine procedures for testing the homogeneity of odds ratios in K 2 × 2 contingency tables. We recommend Tarone's approximate score test, based on the Mantel—Haenszel estimator of the common odds ratio, for use in practice. We also recommend a non‐iterative statistic developed by Gart and based on the modified Woolf estimator of the common odds ratio for very large samples in balanced or mildly unbalanced designs. We base our recommendation of a statistic on its performance in terms of size and power in comparison with the other statistics considered.