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A Chi-Squared Goodness-of-Fit Test for Logistic Regression Models Based on Case-Control Data
Vol. 86, No. 3 (Sep., 1999), pp. 531-539
Stable URL: http://www.jstor.org/stable/2673652
Page Count: 9
You can always find the topics here!Topics: Statistical models, Statistics, Qins, Statism, Logistic regression, Regression analysis, Simulations, Statistical estimation, Matrices, Modeling
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We propose a chi-squared-type statistic to test the validity of the logistic regression model based on case-control data by adapting the goodness-of-fit test of Nikulin-Rao-Robson-Moore. The proposed test statistic requires a high-dimensional matrix inversion, but is otherwise easy to compute and has an asymptotic chi-squared distribution. This test statistic is an alternate to the Kolmogorov-Smirnov-type statistic of Qin & Zhang (1997) and does not need to employ a bootstrap method to evaluate its critical values. We present some results on simulation and on analysis of two real datasets.
Biometrika © 1999 Biometrika Trust