Goodness-of-fit for GEE: an example with mental health service utilization

Stat Med. 1999 Jan 30;18(2):213-22. doi: 10.1002/(sici)1097-0258(19990130)18:2<213::aid-sim999>;2-e.


Suppose we use generalized estimating equations to estimate a marginal regression model for repeated binary observations. There are no established summary statistics available for assessing the adequacy of the fitted model. In this paper we propose a goodness-of-fit test statistic which has an approximate chi-squared distribution when we have specified the model correctly. The proposed statistic can be viewed as an extension of the Hosmer and Lemeshow goodness-of-fit statistic for ordinary logistic regression to marginal regression models for repeated binary responses. We illustrate the methods using data from a study of mental health service utilization by children. The repeated responses are a set of binary measures of service use. We fit a marginal logistic regression model to the data using generalized estimating equations, and we apply the proposed goodness-of-fit statistic to assess the adequacy of the fitted model.

Publication types

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

MeSH terms

  • Age Factors
  • Chi-Square Distribution
  • Child
  • Child Health Services / statistics & numerical data*
  • Connecticut
  • Female
  • Humans
  • Male
  • Mental Health Services / statistics & numerical data*
  • Models, Statistical*
  • Regression Analysis
  • Sex Factors
  • Surveys and Questionnaires
  • United States