Discrete stochastic models for compliance analysis based on an AIDS Clinical Trial Group (ACTG) study.

TitleDiscrete stochastic models for compliance analysis based on an AIDS Clinical Trial Group (ACTG) study.
Publication TypeJournal Article
Year of Publication2007
AuthorsSun J, Nagaraj HN, Reynolds NR
JournalBiom J
Volume49
Issue5
Pagination731-41
Date Published2007 Aug
ISSN0323-3847
KeywordsAcquired Immunodeficiency Syndrome, Anti-HIV Agents, Data Interpretation, Statistical, Humans, Models, Statistical, Patient Compliance, Signal Processing, Computer-Assisted, Stochastic Processes
Abstract

Compliance is the extent to which a patient follows the prescribed regimen. Here we investigate the statistical properties of two popular measures of compliance - percentage of compliant days and percentage of doses taken. We use a stationary Markov chain to model the dependence structure of successive data points for each subject. We illustrate our model using discrete compliance data collected from an AIDS Clinical Trial Group study (ACTG 398). We check the model assumptions and evaluate the small sample as well as large sample properties of our estimators. We show that ignoring the within-subject dependence will usually underestimate the standard errors of the estimates of these compliance measures. Our model allows the application of meta-analytic approaches to assess the variation across subjects in these compliance indices and changes in them due to intervention.

DOI10.1002/bimj.200610368
Alternate JournalBiom J
PubMed ID17726714
Grant ListAI25924 / AI / NIAID NIH HHS / United States
AI38858 / AI / NIAID NIH HHS / United States
M01-RR00034 / RR / NCRR NIH HHS / United States
R01NR05108 / NR / NINR NIH HHS / United States