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. 2009 Jun;65(2):505-13.
doi: 10.1111/j.1541-0420.2008.01113.x.

Nested Markov compliance class model in the presence of time-varying noncompliance

Julia Y Lin  1 , Thomas R Ten Have, Michael R Elliott
Affiliations

Nested Markov compliance class model in the presence of time-varying noncompliance

Julia Y Lin et al. Biometrics. 2009 Jun.

Abstract

We consider a Markov structure for partially unobserved time-varying compliance classes in the Imbens-Rubin (1997, The Annals of Statistics 25, 305-327) compliance model framework. The context is a longitudinal randomized intervention study where subjects are randomized once at baseline, outcomes and patient adherence are measured at multiple follow-ups, and patient adherence to their randomized treatment could vary over time. We propose a nested latent compliance class model where we use time-invariant subject-specific compliance principal strata to summarize longitudinal trends of subject-specific time-varying compliance patterns. The principal strata are formed using Markov models that relate current compliance behavior to compliance history. Treatment effects are estimated as intent-to-treat effects within the compliance principal strata.

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