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- Title
Nested Markov Compliance Class Model in the Presence of Time-Varying Noncompliance.
- Authors
Lin, Julia Y.; Have, Thomas R. Ten; Elliott, Michael R.
- 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.
- Subjects
MARKOV processes; DEPRESSION in old age; MATHEMATICS; STATISTICS; RANDOMIZED controlled trials; PATIENT compliance
- Publication
Biometrics, 2009, Vol 65, Issue 2, p505
- ISSN
0006-341X
- Publication type
Article
- DOI
10.1111/j.1541-0420.2008.01113.x