Analyzing Multiple Emotions over Time by Autoregressive Negative Multinomial Regression Models

Ulf Böckenholt*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


This article presents an autoregressive random coefficient model with overdispersed negative multinomial marginal distributions for the analysis of heterogeneity and serial dependencies in multivariate longitudinal count data. The model structure consists of four components that take into account (a) individual difference effects, (b) random time effects, (c) multiple event categories, and (d) autodependencies. The last component is based on a stochastic integer-valued autoregressive process proposed by McKenzie. The model is applied to analyze count data from a panel diary study about the relationship between personality factors and emotion experiences. It is shown that there are large and stable individual personality differences in the incidence and duration of self-reported emotional experiences. Theoretical and clinical implications of this result are discussed.

Original languageEnglish (US)
Pages (from-to)757-765
Number of pages9
JournalJournal of the American Statistical Association
Issue number447
StatePublished - Sep 1 1999


  • Binomial thinning
  • Count data
  • Multilevel models
  • Negative multinomial distribution

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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