The concordance index C and the Mann-Whitney parameter Pr(X>Y) with randomly censored data.
Harrell's c-index or concordance C has been widely used as a measure of separation of two survival distributions. In the absence of censored data, the c-index estimates the Mann-Whitney parameter Pr(X>Y), which has been repeatedly utilized in various statistical contexts. In the presence of randomly censored data, the c-index no longer estimates Pr(X>Y); rather, a parameter that involves the underlying censoring distributions. This is in contrast to Efron's maximum likelihood estimator of the Mann-Whitney parameter, which is recommended in the setting of random censorship.
Koziol
James A
JA
Department of Molecular and Experimental Medicine, The Scripps Research Institute, La Jolla, CA 92037, USA.
Jia
Zhenyu
Z
D000465:Algorithms; D001499:Bayes Theorem; D001699:Biometry / Q000379:methods; D017063:Outcome Assessment, Health Care / Q000379:methods*; D016016:Proportional Hazards Models; D018709:Statistics, Nonparametric; D016019:Survival Analysis; D015996:Survival Rate; D017741:Survivors / Q000706:statistics & numerical data*