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Biometrika 1987 74(3):495-501; doi:10.1093/biomet/74.3.495
© 1987 by Biometrika Trust
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Transformations of the explanatory variables in the logistic regression model for binary data

RICHARD KAY and SARAH LITTLE

Department of Probability and Statistics, University of Sheffield Sheffield S3 7RH, U.K.
Roche Products Ltd Welwyn Garden City, Hertfordshire AL7 3AY, U.K.

Some results are presented on improving the fit of the logistic regression model for binary data by transforming the vector of explanatory variables. The methods are based on consideration of the distributions of these variables conditional on outcome group. The transformations required are the functions of the explanatory variables which appear in the log density ratio of the conditional distributions.

Key Words: Binary data • Logistic regression • Transformation


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