Influence diagnostics for random effect survival models: Application to a recurrent infection study for kidney patients on portable dialysis |
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Authors: | Liming Xiang SK Tse |
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Affiliation: | a Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong b Department of Epidemiology and Biostatistics, School of Public Health, Curtin University of Technology, GPO Box U 1987, Perth, WA 6845, Australia |
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Abstract: | In modeling multivariate failure time data, a class of survival model with random effects is applicable. It incorporates the random effect terms in the linear predictor and includes various random effect survival models as special cases, such as the random effect model assuming Cox's proportional hazards, with Weibull baseline hazards and with power family of transformation in the relative risk function. Residual maximum likelihood (REML) estimation of parameters is achieved by adopting the generalised linear mixed models (GLMM) approach. Accordingly, influence diagnostics are developed as sensitivity measures for the REML estimation of model parameters. A data set of recurrent infections of kidney patients on portable dialysis illustrates the usefulness of the influence diagnostics. A simulation study is carried out to examine the performance of the proposed influence diagnostics. |
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Keywords: | Generalised linear mixed models Influence diagnostics Local influence Multivariate failure times Random effects Weibull distribution |
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