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


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.

SUBMITTER: Lin JY 

PROVIDER: S-EPMC2700859 | biostudies-literature | 2009 Jun

REPOSITORIES: biostudies-literature

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

Lin Julia Y JY   Ten Have Thomas R TR   Elliott Michael R MR  

Biometrics 20090601 2


<h4>Summary</h4>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 whe  ...[more]

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