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Rank tests for matched pair experiments with censored data

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  • Dabrowska, Dorota M.

Abstract

We consider the problem of testing bivariate symmetry in matched pair experiments where (X1, X2) are time measurements such as failure or survival times. The observations are subject to random right censoring so that what is observed is Yj = min(Xj, Zj) and [delta]j = I(Xj = Yj), j = 1, 2, where (Z1, Z2) is a pair of censoring times independent of (X1, X2). Tests that generalize the conditional Wilcoxon and the log-rank tests are considered as well as general linear rank statistics. It is shown that suitably standardized versions of these statistics are asymptotically normal under fixed and converging alternatives and they are consistent against the alternative of ordered hazards.

Suggested Citation

  • Dabrowska, Dorota M., 1989. "Rank tests for matched pair experiments with censored data," Journal of Multivariate Analysis, Elsevier, vol. 28(1), pages 88-114, January.
    • Handle: RePEc:eee:jmvana:v:28:y:1989:i:1:p:88-114
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    Cited by:

    1. Susan Murray, 2000. "Nonparametric Rank-Based Methods for Group Sequential Monitoring of Paired Censored Survival Data," Biometrics, The International Biometric Society, vol. 56(4), pages 984-990, December.
    2. Susan Murray, 2001. "Using Weighted Kaplan-Meier Statistics in Nonparametric Comparisons of Paired Censored Survival Outcomes," Biometrics, The International Biometric Society, vol. 57(2), pages 361-368, June.

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