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Biometrika 1990 77(4):815-827; doi:10.1093/biomet/77.4.815
© 1990 by Biometrika Trust
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Outlier tests for logistic regression: A conditional approach

EDWARD J. BEDRICK and JOE R. HILL

Department of Mathematics and Statistics, University of New Mexico Albuquerque, New Mexico 87131, U.S.A.
EDS Research 5951 Jefferson St. NE, Albuquerque, New Mexico 87109, U.S.A.

We consider exact conditional methods for identifying outliers in logistic regression data. Tests for a single outlier and multiple outliers are developed assuming a logistic slippage model. The p-values for these tests are determined using an explicit enumeration of all possible responses consistent with the observed value of the sufficient statistic. Justifications are given for preferring this computationally intensive approach to standard methods based on asymptotic approximations. The techniques are applied to two examples.

Key Words: Exact inference • P-value • Residual


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