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Testing the effect of treatment on survival time with an immediate intermediate event

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  • Johan Lim
  • Sungim Lee

Abstract

In this paper, we consider testing the effects of treatment on survival time when a subject experiences an immediate intermediate event (IE) prior to death or predetermined endpoint. A two-stage model incorporating both (i) the effects of the covariates on the immediate IE and (ii) survival regression with the immediate IE and other covariates is presented. We study the likelihood ratio test (LRT) for testing the treatment effect based on the proposed two stage model. We propose two procedures: an asymptotic-based procedure and a resampling-based procedure, to approximate the null distribution of the LRT. We numerically show the advantages of the two stage modeling over the existing single stage survival model with interactions between the covariates and the immediate IE. In addition, an illustrative empirical example is provided.

Suggested Citation

  • Johan Lim & Sungim Lee, 2017. "Testing the effect of treatment on survival time with an immediate intermediate event," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(8), pages 3718-3727, April.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:8:p:3718-3727
    DOI: 10.1080/03610926.2015.1071393
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