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Biometrika 1985 72(1):199-202; doi:10.1093/biomet/72.1.199
© 1985 by Biometrika Trust
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MISCELLANEA

Modification of the empirical logit to reduce bias in simple linear logistic regression

LINDA JUNE DAVIS

Department of Statistics, Stanford University Stanford, California 94305, U.S.A

The effect on the bias of Berkson's minimum logit chi-squared estimator of adding a constant to each observed count before forming the empirical logit is examined as a function of the number of design points. It is shown that the ‘best’ constant for reducing bias is essentially a linear function of the reciprocal of the number of design points.

Key Words: Asymptotic bias • Minimum logit chi-squared estimator


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