Hierarchical proportional hazards regression models for highly stratified data

Biometrics
B P Carlin, J S Hodges

Abstract

In clinical trials conducted over several data collection centers, the most common statistically defensible analytic method, a stratified Cox model analysis, suffers from two important defects. First, identification of units that are outlying with respect to the baseline hazard is awkward since this hazard is implicit (rather than explicit) in the Cox partial likelihood. Second (and more seriously), identification of modest treatment effects is often difficult since the model fails to acknowledge any similarity across the strata. We consider a number of hierarchical modeling approaches that preserve the integrity of the stratified design while offering a middle ground between traditional stratified and unstratified analyses. We investigate both fully parametric (Weibull) and semiparametric models, the latter based not on the Cox model but on an extension of an idea by Gelfand and Mallick (1995, Biometrics 51, 843-852), which models the integrated baseline hazard as a mixture of monotone functions. We illustrate the methods using data from a recent multicenter AIDS clinical trial, comparing their ease of use, interpretation, and degree of robustness with respect to estimates of both the unit-specific baseline hazards and the tre...Continue Reading

References

Apr 1, 1980·The Journal of Allergy and Clinical Immunology·S R Hirsch, J H Kalbfleisch
Aug 19, 1999·Clinical Infectious Diseases : an Official Publication of the Infectious Diseases Society of America·F M GordinC R Horsburgh

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Citations

Dec 21, 2000·Statistics in Medicine·F Vaida, R Xu
Jun 9, 2005·Lifetime Data Analysis·Sudipto Banerjee, Dipak K Dey
Mar 8, 2005·Lifetime Data Analysis·Xiaoping Jin, Bradley P Carlin
Jul 19, 2005·Journal of Toxicology and Environmental Health. Part a·Sorina Eftim, Francesca Dominici
Mar 23, 2004·Biometrics·Sudipto Banerjee, Bradley P Carlin
Jul 27, 2015·Lifetime Data Analysis·Giuliana Cortese, Nicola Sartori
Jun 28, 2018·Canadian Journal of Anaesthesia = Journal Canadien D'anesthésie·Peter R A GergesUNKNOWN Canadian Critical Care Trials Group

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