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Erschienen in:
2021 | OriginalPaper | Buchkapitel
8. Survival given covariate information
verfasst von : John O’Quigley
Erschienen in: Survival Analysis
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Abstract
We begin by considering the probability that one subject with particular covariates will have a greater survival time than another subject with different covariates, i.e., \(\text{ Pr }\,(T_i>T_j|Z_i,Z_j).\) Note that this also provides a Kendall \(\tau \)-type measure of predictive strength (Gönen and Heller, 2005) and, although not explored in this work, provides a potential alternative to the \(R^2\) that we recommend. Confidence intervals are simple to construct and maintain the same coverage properties as those for \(\beta \). Using the main results of Chapter 7 we obtain a simple expression for survival probability given a particular covariate configuration, i.e., \(S(t|Z\in H)\) where H is some given covariate subspace.