Mixed Poisson likelihood regression models for longitudinal interval count data

Biometrics. 1988 Mar;44(1):197-209.


In many longitudinal studies it is desired to estimate and test the rate over time of a particular recurrent event. Often only the event counts corresponding to the elapsed time intervals between each subject's successive observation times, and baseline covariate data, are available. The intervals may vary substantially in length and number between subjects, so that the corresponding vectors of counts are not directly comparable. A family of Poisson likelihood regression models incorporating a mixed random multiplicative component in the rate function of each subject is proposed for this longitudinal data structure. A related empirical Bayes estimate of random-effect parameters is also described. These methods are illustrated by an analysis of dyspepsia data from the National Cooperative Gallstone Study.

Publication types

  • Research Support, U.S. Gov't, P.H.S.

MeSH terms

  • Adult
  • Aged
  • Bayes Theorem
  • Chenodeoxycholic Acid / therapeutic use
  • Cholelithiasis / drug therapy
  • Dyspepsia / epidemiology
  • Dyspepsia / therapy
  • Female
  • Humans
  • Longitudinal Studies*
  • Male
  • Models, Theoretical*
  • Probability*
  • Regression Analysis*


  • Chenodeoxycholic Acid