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The Performance of Goodness of Fit Tests for Logistic Regression with Discrete Covariates
Author(s) -
Korn L. R.,
Hosmer D. W.,
Lemeshow S.
Publication year - 1986
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710280608
Subject(s) - covariate , goodness of fit , statistics , mathematics , logistic regression , statistic , econometrics , test statistic , logistic distribution , statistical hypothesis testing
This paper considers the distribution of previously proposed goodness of fit tests when some or all of the covariates are dichotomous variables. The simulations show that of the statistics suggested for testing fit only one appears suitable for use with discrete covariates. This statistic uses conditional maximum likelihood estimates and groups the estimated probabilities into groups of equal size or into groups based on the patterns of the covariates when these are few in number.