Confidence bands for the difference of two survival functions under the additive risk model

Jimin Lee and Seunggeun Hyun

Journal of Applied Statistics, 2011, vol. 38, issue 4, 785-797

Abstract: In many clinical studies, a commonly encountered problem is to compare the survival probabilities of two treatments for a given patient with a certain set of covariates, and there is often a need to make adjustments for other covariates that may affect outcomes. One approach is to plot the difference between the two subject-specific predicted survival estimates with a simultaneous confidence band. Such a band will provide useful information about when these two treatments differ and which treatment has a better survival probability. In this paper, we show how to construct such a band based on the additive risk model and we use the martingale central limit theorem to derive its asymptotic distribution. The proposed method is evaluated from a simulation study and is illustrated with two real examples.

Date: 2011
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Citations: View citations in EconPapers (4)

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DOI: 10.1080/02664761003692308

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