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Biometrika 1974 61(2):233-236; doi:10.1093/biomet/61.2.233
© 1974 by Biometrika Trust
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On the small-sample properties of the Mantel-Haenszel test for relative risk

B. M. BENNETT and C. KANESHIRO

School of Public Health, University of Hawaii Honolulu

For the analysis of combinations of 2 x 2 contingency tables Cochran (1954) and also Mantel & Haenszel (1959) proposed related statistics for the null hypothesis that the relative risk {Psi} has the value unity from table to table. Using the model with constant effects on a logistic scale of probabilities (e.g. Cox, 1970), this paper presents some numerical studies on the exact distribution of the Mantel-Haenszel test statistic under the null hypothesis, as well as its exact power under several alternatives to the null hypothesis, when the sample sizes are small.

Key Words: Contingeney table • Mantel-Haenszel test • Power function • Relative risk


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