Hidden Markov models for zero-inflated Poisson counts with an application to substance use

Stat Med. 2011 Jun 30;30(14):1678-94. doi: 10.1002/sim.4207. Epub 2011 May 2.

Abstract

Paradigms for substance abuse cue-reactivity research involve pharmacological or stressful stimulation designed to elicit stress and craving responses in cocaine-dependent subjects. It is unclear as to whether stress induced from participation in such studies increases drug-seeking behavior. We propose a 2-state Hidden Markov model to model the number of cocaine abuses per week before and after participation in a stress-and cue-reactivity study. The hypothesized latent state corresponds to 'high' or 'low' use. To account for a preponderance of zeros, we assume a zero-inflated Poisson model for the count data. Transition probabilities depend on the prior week's state, fixed demographic variables, and time-varying covariates. We adopt a Bayesian approach to model fitting, and use the conditional predictive ordinate statistic to demonstrate that the zero-inflated Poisson hidden Markov model outperforms other models for longitudinal count data.

Publication types

  • Research Support, N.I.H., Extramural

MeSH terms

  • Age Factors
  • Algorithms
  • Bayes Theorem
  • Behavioral Research / methods*
  • Cocaine-Related Disorders / epidemiology*
  • Computer Simulation
  • Cues
  • Drug-Seeking Behavior
  • Female
  • Humans
  • Male
  • Markov Chains*
  • Models, Statistical*
  • Monte Carlo Method
  • Poisson Distribution
  • Recurrence
  • Regression Analysis
  • Risk Factors
  • Sex Factors
  • Smoking / epidemiology
  • Stress, Psychological / chemically induced
  • Stress, Psychological / psychology