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Likelihood Method for Randomized Time-to-Event Studies with All-or-None Compliance: Causal Inference in Survival analysis

Likelihood Method for Randomized Time-to-Event Studies with All-or-None Compliance: Causal Inference in Survival analysis

Paperback

Probability & Statistics

ISBN10: 3668438633
ISBN13: 9783668438637
Publisher: Grin Verlag
Published: Apr 28 2017
Pages: 160
Weight: 0.48
Height: 0.37 Width: 5.83 Depth: 8.27
Language: English
Research Paper (postgraduate) from the year 2009 in the subject Mathematics - Statistics, grade: A, University of Canterbury (Department of Mathematics and Statistics), course: Statistics, language: English, abstract: Estimating causal effects in clinical trials often suffers from treatment non-compliance and missing outcomes. In time-to-event studies, it is more complicated because of censoring, the mechanism of which may be non-ignorable. While new estimators have recently been proposed to account for non-compliance and missing outcomes, few papers have specifically considered time-to-event outcomes, where even the intention-to-treat (ITT) estimator is potentially biased for estimating causal effects of assigned treatment. In this paper we develop a likelihood based method for randomized clinical trials (RCTs) with non-compliance for time-to-event data and adapt the EM algorithm according to derive the maximum likelihood estimators (MLEs). In addition, we give formulations of the average causal effect (ACE) and compliers average causal effect (CACE) to suit survival analysis. To illustrate the likelihood-based method (EM algorithm), a breast cancer trial data was re-analysed using a model, which assumes that the failure times and censored times both follow Weibull and Lognormal distributions, respectively (termed the NIGN-WW model and NIGN-LL model).

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