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

作     者：Horton, NJ Bebchuk, JD Jones, CL Lipsitz, SR Catalano, PJ Zahner, GEP Fitzmaurice, GM 

作者机构：Harvard Univ Sch Publ Hlth Dept Biostat Boston MA 02115 USA Dana Farber Canc Inst Boston MA 02115 USA Harvard Univ Sch Med Dept Psychiat Boston MA 02115 USA 

出 版 物：《STATISTICS IN MEDICINE》 (医学统计学)

年 卷 期：1999年第18卷第2期

页      面：213-222页

核心收录：

学科分类：0710[理学-生物学] 1004[医学-公共卫生与预防医学(可授医学、理学学位)] 1001[医学-基础医学(可授医学、理学学位)] 0714[理学-统计学（可授理学、经济学学位）] 10[医学] 

基　　金：NCI NIH HHS [CA-55576, CA-70101-01] Funding Source: Medline NIMH NIH HHS [T32-MH17119] Funding Source: Medline 

主　　题：年龄因素 卡方分布 儿童保健服务/统计学和数值数据 康涅狄格 精神卫生服务/统计学和数值数据 模型 统计学 回归分析 性别因素 美国 儿童 女(雌)性 人类 男(雄)性 

摘      要：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. Copyright (C) 1999 John Wiley & Sons, Ltd.