Assessing the adequacy of weibull survival models : A simulated envelope approach

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)2089-2097
Journal / PublicationJournal of Applied Statistics
Volume38
Issue number10
Publication statusPublished - Oct 2011

Abstract

The Weibull proportional hazards model is commonly used for analysing survival data. However, formal tests of model adequacy are still lacking. It is well known that residual-based goodness-of-fit measures are inappropriate for censored data. In this paper, a graphical diagnostic plot of Cox-Snell residuals with a simulated envelope added is proposed to assess the adequacy of Weibull survival models. Both single component and two-component mixture models with random effects are considered for recurrent failure time data. The effectiveness of the diagnostic method is illustrated using simulated data sets and data on recurrent urinary tract infections of elderly women. © 2011 Taylor & Francis.

Research Area(s)

  • Goodness-of-fit, Mixture models, Model adequacy, Simulated envelope, Survival analysis

Citation Format(s)

Assessing the adequacy of weibull survival models : A simulated envelope approach. / Zhao, Yun; Lee, Andy H.; Yau, Kelvin K.W.; Mclachlan, Geoffrey J.

In: Journal of Applied Statistics, Vol. 38, No. 10, 10.2011, p. 2089-2097.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review