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The Stata Journal
Volume 12 Number 3: pp. 447-453



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A generalized Hosmer–Lemeshow goodness-of-fit test for multinomial logistic regression models

Morten W. Fagerland
Unit of Biostatistics and Epidemiology
Oslo University Hospital
Oslo, Norway
[email protected]
David W. Hosmer
Department of Public Health
University of Massachusetts–Amherst
Amherst, MA
Abstract.  Testing goodness of fit is an important step in evaluating a statistical model. For binary logistic regression models, the Hosmer–Lemeshow goodness-of-fit test is often used. For multinomial logistic regression models, however, few tests are available. We present the mlogitgof command, which implements a goodness-of-fit test for multinomial logistic regression models. This test can also be used for binary logistic regression models, where it gives results identical to the Hosmer–Lemeshow test.
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