Standard Article

Correlated Multinomial Data

Environmental Health

  1. Yiliang Zhu

Published Online: 15 JAN 2013

DOI: 10.1002/9780470057339.vac054.pub2

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Zhu, Y. 2013. Correlated Multinomial Data . Encyclopedia of Environmetrics. 2.

Author Information

  1. University of South Florida, Tampa, FL, USA

Publication History

  1. Published Online: 15 JAN 2013


Correlated multinomial data, including correlated binomial, arise from clustered sampling schemes such as grouped sampling or repeated measurements. Correlation induced by clustering can be of interest in its own right, but must be accounted for in statistical analyses to avoid inaccurate or inefficient inference. This article discusses common approaches to the treatment of correlated multinomial data and illustrates dose-response modeling via generalized estimating equations using an example from developmental toxicity experiment.


  • clustered sampling;
  • mixture distribution;
  • generalized estimating equations;
  • developmental toxicity;
  • dose-response