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Testing goodness-of-fit of a logistic regression model with case–control data

✍ Scribed by K.F. Cheng; L.C. Chen

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
265 KB
Volume
124
Category
Article
ISSN
0378-3758

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✦ Synopsis

A new test is proposed for testing the validity of the logistic regression model based on casecontrol data. The proposed test does not need a partition of the space of explanatory variables to handle the case of nonreplication. The new test is consistent against very general alternatives. The asymptotic distribution of the test statistic under a sequence of local alternatives is derived so that the behavior of the asymptotic power function of the new test can be studied. This result also gives the approximated null distribution of the test statistic. For practical sample sizes, the adequacy of the large-sample approximation to the null distribution of the test statistic are carefully examined. Power comparisons with other goodness-of-ÿt tests are performed to show the advantages of the new method. The test statistic is very simple to compute and the new test will be illustrated with examples.

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