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Estimating the effect of treatment in a proportional hazards model in the presence of non-compliance and contamination

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Abstract:

Summary. 

Methods for adjusting for non-compliance and contamination, which respect the randomization, are extended from binary outcomes to time-to-event analyses by using a proportional hazards model. A simple non-iterative method is developed when there are no covariates, which is a generalization of the Mantel–Haenszel estimator. More generally, a ‘partial likelihood’ is developed which accommodates covariates under the assumption that they are independent of compliance. A key feature is that the proportion of contaminators and non-compliers in the risk set is updated at each failure time. When covariates are not independent of compliance, a full likelihood is developed and explored, but this leads to a complex estimator. Estimating equations and information matrices are derived for these estimators and they are evaluated by simulation studies.

Keywords: Non-compliance; Partial likelihood; Proportional hazards model; Randomized clinical trials; Semiparametric models

Document Type: Research Article

DOI: https://doi.org/10.1111/j.1467-9868.2007.00600.x

Publication date: 2007-09-01

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