A comparative study of tests for paired lifetime data |
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Authors: | Zhu Wang Hon Keung Tony Ng |
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Institution: | (1) Statistical Center for HIV/AIDS Research & Prevention, Fred Hutchinson Cancer Research Center, Seattle, WA 98109-1024, USA;(2) Department of Statistical Science, Southern Methodist University, Dallas, TX, 75275-0332, USA |
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Abstract: | In this paper, we investigate different procedures for testing the equality of two mean survival times in paired lifetime
studies. We consider Owen’s M-test and Q-test, a likelihood ratio test, the paired t-test, the Wilcoxon signed rank test and a permutation test based on log-transformed survival times in the comparative study.
We also consider the paired t-test, the Wilcoxon signed rank test and a permutation test based on original survival times for the sake of comparison. The
size and power characteristics of these tests are studied by means of Monte Carlo simulations under a frailty Weibull model.
For less skewed marginal distributions, the Wilcoxon signed rank test based on original survival times is found to be desirable.
Otherwise, the M-test and the likelihood ratio test are the best choices in terms of power. In general, one can choose a test procedure based
on information about the correlation between the two survival times and the skewness of the marginal survival distributions. |
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Keywords: | Power Size Bivariate distribution Logistic distribution Weibull distribution Monte Carlo simulations Wilcoxon signed rank statistic |
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