Goodness-of-fit for GEE: an example with mental health service utilization
✍ Scribed by Nicholas J. Horton; Judith D. Bebchuk; Cheryl L. Jones; Stuart R. Lipsitz; Paul J. Catalano; Gwendolyn E. P. Zahner; Garrett M. Fitzmaurice
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 95 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0277-6715
No coin nor oath required. For personal study only.
✦ Synopsis
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.