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Goodness-of-Fit Testing for the Logistic Regression Model when the Estimated Probabilities are Small

โœ Scribed by Prof. D. W. Hosmer; S. Lemeshow; J. Klar

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
762 KB
Volume
30
Category
Article
ISSN
0323-3847

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โœฆ Synopsis

The distribution of the Hosmer-Lemeshow chi-square type goodness-of-fit tests (Gg, I? for the logistic regremion model are examined via simulations designed to examine their behamor when most of the estimated probabilities are small or are expected to fall in a few deciles. The results of the simulations show statistic fig should be used when the two outcome groups (y =0,1) are not well separated, A c 2 , where A2 is the Mahalanobis distance. Statistic I?, should be used when A =-8.

Either statistic may be used wh'en 2 s A s 8 . All tests should be used with caution when the proportion in the sample with y = 1 is less than 0.1.

4

Key wor&: Chi-sq,uare methods ; Contingency table methods ; Regression methods.

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