The Effectiveness of Risk Scores: the Logit Rank Plot

The Effectiveness of Risk Scores: the Logit Rank Plot A risk score s for event E is a function of covariates with the property that P(E|s) is an increasing function of s. Motivated by applications in medicine and in criminology, we suggest the logit rank plot as a good way of summarizing the effectiveness of such a score. Explicitly, plot logit{P(E|s)} against logit(r), where r is the proportional rank of s in a sample or population. The slope of this plot gives an overall measure of effectiveness, and the logit rank transformation provides a common basis on which different risk scores can be compared. Some practical and theoretical aspects are discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the Royal Statistical Society: Series C (Applied Statistics) Wiley

The Effectiveness of Risk Scores: the Logit Rank Plot

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Publisher
Wiley
Copyright
Copyright © 1999 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0035-9254
eISSN
1467-9876
DOI
10.1111/1467-9876.00147
Publisher site
See Article on Publisher Site

Abstract

A risk score s for event E is a function of covariates with the property that P(E|s) is an increasing function of s. Motivated by applications in medicine and in criminology, we suggest the logit rank plot as a good way of summarizing the effectiveness of such a score. Explicitly, plot logit{P(E|s)} against logit(r), where r is the proportional rank of s in a sample or population. The slope of this plot gives an overall measure of effectiveness, and the logit rank transformation provides a common basis on which different risk scores can be compared. Some practical and theoretical aspects are discussed.

Journal

Journal of the Royal Statistical Society: Series C (Applied Statistics)Wiley

Published: Jan 1, 1999

Keywords: ; ; ; ;

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