Survival of the Fittest Group: Factorial Analyses of Treatment Effects\n under Independent Right-Censoring

2018/07/27 by Dennis Dobler, Markus Pauly, Dobler, Dennis +1
Decision Sciences · Mathematics · #62G09 #62G10 #62G20 #62H15 #62N02 #62N03 #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Optimal Experimental Design Methods #Statistical Methods and Inference #Statistical Methods in Clinical Trials #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1807.10678

openalex publication_date 2018/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper introduces new effect parameters for factorial survival designs\nwith possibly right-censored time-to-event data. In the special case of a\ntwo-sample design it coincides with the concordance or Wilcoxon parameter in\nsurvival analysis. More generally, the new parameters describe treatment or\ninteraction effects and we develop estimates and tests to infer their presence.\nWe rigorously study the asymptotic properties by means of empirical process\ntechniques and additionally suggest wild bootstrapping for a consistent and\ndistribution-free application of the inference procedures. The small sample\nperformance is discussed based on simulation results. The practical usefulness\nof the developed methodology is exemplified on a data example about patients\nwith colon cancer by conducting one- and two-factorial analyses.\n

Citations

• The Nonparametric Behrens-Fisher Problem: Asymptotic Theory and a Small-Sample Approximation
• Wild Bootstrapping Rank-Based Procedures: Multiple Testing in Nonparametric Split-Plot Designs
• Ranks and Pseudo-Ranks - Paradoxical Results of Rank Tests -

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