Compliance in an anti-hypertension trial

A latent process model for binary longitudinal data

David M. Smith, Peter J. Diggle

Research output: Contribution to journalArticle

Abstract

We propose an alternative to the method of generalized estimating equations (GEE) for inference about binary longitudinal data. Unlike GEE, the method is practicable when the data consist of long time series on each subject and the set of observation times is not necessarily common to all subjects. Instead of modelling the intra-series correlations explicitly, we assume that a subject's propensity to respond is governed by an underlying, but unobserved, stationary continuous process. Given a realization of this process, we assume that the binary responses are conditionally independent, with the probability that a subject responds positively at any given time t depending on the value of the underlying process at that time and also on any covariates specific to the subject at that time. We develop an algorithm for estimating the parameters in this model, and investigate its effectiveness using simulation methods. We also apply the methodology to data collected in a trial investigating the effect of self-measurement of blood pressure on compliance in taking medication during a course of anti-hypertension treatment.

Original languageEnglish (US)
Pages (from-to)357-370
Number of pages14
JournalStatistics in Medicine
Volume17
Issue number3
DOIs
StatePublished - Feb 15 1998
Externally publishedYes

Fingerprint

Latent Process
Hypertension
Binary Data
Longitudinal Data
Compliance
Process Model
Generalized Estimating Equations
Binary Response
Blood Pressure
Simulation Methods
Covariates
Time series
Series
Observation
Methodology
Alternatives
Modeling

ASJC Scopus subject areas

  • Epidemiology

Cite this

Compliance in an anti-hypertension trial : A latent process model for binary longitudinal data. / Smith, David M.; Diggle, Peter J.

In: Statistics in Medicine, Vol. 17, No. 3, 15.02.1998, p. 357-370.

Research output: Contribution to journalArticle

Smith, David M. ; Diggle, Peter J. / Compliance in an anti-hypertension trial : A latent process model for binary longitudinal data. In: Statistics in Medicine. 1998 ; Vol. 17, No. 3. pp. 357-370.
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