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Modified GEE and Goodness of the Marginal Fit (GOMF) Test with Correlated Binary Responses for Contingency Tables
Author(s) -
Lee JiHyun,
Qaqish Bahjat F.
Publication year - 2004
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200410071
Subject(s) - goodness of fit , contingency table , mathematics , marginal model , statistics , deviance (statistics) , pearson's chi squared test , statistic , generalized estimating equation , copula (linguistics) , marginal distribution , test statistic , statistical hypothesis testing , econometrics , regression analysis , random variable
This paper addresses testing the goodness of fit of models for marginal probabilities estimated by generalized estimating equations. We develop a modified version of generalized estimating equation and a goodness‐of‐fit test based on the fitted marginal means. The test statistic is easy to compute and has a simple reference distribution. Its performance is evaluated asymptotically and in small samples. It is also compared to the deviance and Pearson X 2 statistics. Example applications are given. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)