Rank regression for accelerated failure time model with clustered and censored data

Authors:
You-Gan Wang;Liya Fu
Affiliations:
Centre for Applications in Natural Resource Mathematics (CARM), School of Mathematics and Physics, The University of Queensland, Queensland 4072, Australia and CSIRO Mathematics, Informatics and S ...;Key Laboratory for Applied Statistics of MOE and School of Mathematics and Statistics, Northeast Normal University, Ren Min Street 5268, Chang Chun, 130024, China and School of Science, Xian Jiaot ...
Venue:
Computational Statistics & Data Analysis
Year:
2011

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Abstract

For clustered survival data, the traditional Gehan-type estimator is asymptotically equivalent to using only the between-cluster ranks, and the within-cluster ranks are ignored. The contribution of this paper is two fold, (i) incorporating within-cluster ranks in censored data analysis, and (ii) applying the induced smoothing of Brown and Wang (2005, Biometrika) for computational convenience. Asymptotic properties of the resulting estimating functions are given. We also carry out numerical studies to assess the performance of the proposed approach and conclude that the proposed approach can lead to much improved estimators when strong clustering effects exist. A dataset from a litter-matched tumorigenesis experiment is used for illustration.