Likelihood Ratio Type Two-Sample Tests for Current Status Data

Authors


Piet Groeneboom, Department of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands.
E-mail: p.groeneboom@tudelft.nl

Abstract

Abstract.  We introduce fully non-parametric two-sample tests for testing the null hypothesis that the samples come from the same distribution if the values are only indirectly given via current status censoring. The tests are based on the likelihood ratio principle and allow the observation distributions to be different for the two samples, in contrast with earlier proposals for this situation. A bootstrap method is given for determining critical values and asymptotic theory is developed. A simulation study, using Weibull distributions, is presented to compare the power behaviour of the tests with the power of other non-parametric tests in this situation.

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