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Activity Number: 209
Type: Contributed
Date/Time: Monday, July 30, 2007 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Epidemiology
Abstract - #309411
Title: A Goodness-of-Fit Test of Logistic Regression Model
Author(s): Ying Liu*+
Companies: Kansas State University
Address: 1604 Roof Drive D30, Manhattan, KS, 66502,
Keywords: logistic regression ; goodness-of-fit ; rejection rate
Abstract:

Logistic regression model is widely used in many areas. Before we can make valid statistical inference based on a logistic regression model, we must test whether the model fit the data adequately. Pearson Chi-square test and Deviance test can not provide correct p-value with one or more continuous covariates. Hosmer and Lemeshow test is standard goodness-of fit tests. Other recent tests are Osius and Rojek's test and Stukel's test. In this article, we purpose to approximate the "true" model by a partition logistic regression model, since it includes the logistic regression model as a special case. This partition model is used to construct goodness-of -fit test of a logistic regression model. Our simulation results show that the proposed test controls type I error rate well and that it has higher rejection rate than the other known methods when the assumed model is not correct.


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Revised September, 2007