2005
DOI: 10.1093/biomet/92.4.965
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Concordance probability and discriminatory power in proportional hazards regression

Abstract: The concordance probability is used to evaluate the discriminatory power and the predictive accuracy of nonlinear statistical models. We derive an analytic expression for the concordance probability in the Cox proportional hazards model. The proposed estimator is a function of the regression parameters and the covariate distribution only and does not use the observed event and censoring times. For this reason it is asymptotically unbiased, unlike Harrell's c-index based on informative pairs. The asymptotic dis… Show more

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Cited by 566 publications
(436 citation statements)
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“…We used the method of Gonen and Heller, which estimates the concordance index, to assess the discriminatory power of the multivariable model. 28 The concordance index has the same interpretation as Harrell's C statistic for survival data. 29 We used a two-sided p value of 0.05 to denote statistical significance.…”
Section: Statistical Analysesmentioning
confidence: 99%
“…We used the method of Gonen and Heller, which estimates the concordance index, to assess the discriminatory power of the multivariable model. 28 The concordance index has the same interpretation as Harrell's C statistic for survival data. 29 We used a two-sided p value of 0.05 to denote statistical significance.…”
Section: Statistical Analysesmentioning
confidence: 99%
“…Adjusted HRs by the multivariate stratified Cox model were also estimated including age, sex, performance status, pathological type, and macroscopic type as covariates. Concordance probability estimates (CPE) were also calculated from the stratified Cox model for each cutoff to investigate how well each cutoff discriminated overall survival [27]. If the patient in the responder group lived longer, then the pair was regarded as concordant.…”
Section: Statistical Considerationmentioning
confidence: 99%
“…Here  denotes the number of the pairs which have The concordance probability (CP) [26], [27] for the Cox PH model is defined as:…”
Section: Empirical Validation a Performance Measuresmentioning
confidence: 99%