Weighted Logrank Permutation Tests for Randomly Right Censored Life Science Data

Michael Brendel, Arnold Janssen, Claus-Dieter Mayer and Markus Pauly

Scandinavian Journal of Statistics, 2014, vol. 41, issue 3, 742-761

Abstract: type="main" xml:id="sjos12059-abs-0001"> In biomedical research, weighted logrank tests are frequently applied to compare two samples of randomly right censored survival times. We address the question how to combine a number of weighted logrank statistics to achieve good power of the corresponding survival test for a whole linear space or cone of alternatives, which are given by hazard rates. This leads to a new class of semiparametric projection tests that are motivated by likelihood ratio tests for an asymptotic model. We show that these tests can be carried out as permutation tests and discuss their asymptotic properties. A simulation study together with the analysis of a classical data set illustrates the advantages.

Date: 2014
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