# Coefficients of Determination in Logistic Regression Models—A New Proposal: The Coefficient of Discrimination

```@article{Tjur2009CoefficientsOD,
title={Coefficients of Determination in Logistic Regression Models—A New Proposal: The Coefficient of Discrimination},
author={Tue Tjur},
journal={The American Statistician},
year={2009},
volume={63},
pages={366 - 372}
}```
• T. Tjur
• Published 2009
• Mathematics
• The American Statistician
Many analogues to the coefficient of determination R2 in ordinary regression models have been proposed in the context of logistic regression. Our starting point is a study of three definitions related to quadratic measures of variation. We discuss the properties of these statistics, and show that the family can be extended in a natural way by a fourth statistic with an even simpler interpretation, namely the difference between the averages of fitted values for successes and failures… Expand
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