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Biometrika 1996 83(4):905-911; doi:10.1093/biomet/83.4.905
© 1996 by Biometrika Trust
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MISCELLANEA

A generalisation of the Mantel—Haenszel test to bivariate failure time data

LI HSU and ROSS L. PRENTICE

Public Health Sciences Division, Fred Hutchinson Cancer Research Center 1124 Columbia Street, Seattle, Washington 98104-2092, U.S.A.

This paper presents a class of Mantel & Haenszel(1959) type statistics for testing independence between pairs of failure times. This class is extended to include a weight function in order to enhance test power. Large sample distributions of these statistics are given under the null hypothesis of independence. The paper also presents a simplified test, the covariance test, which is asymptotically equivalent to the Mantel-Haenszel-type test. In order to account for heterogeneity among subjects, both tests are generalised to include subject-specific covariates. In a simulation study, the weighted Mantel-Haenszel and covariance tests are shown to lead to an increase in power for detecting dependence, compared to unweighted tests and to a score test (Commenges & Andersen, 1995) that is based on a random effects model. An example is used to illustrate the methodology.

Key Words: Correlated failure times • Covariance test • Independence test • Mantel-Haenszel test • Power


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Pairwise dependence diagnostics for clustered failure-time data
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