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June, 1984 Sequential Linear Rank Tests for Two-Sample Censored Survival Data
Eric V. Slud
Ann. Statist. 12(2): 551-571 (June, 1984). DOI: 10.1214/aos/1176346505

Abstract

Under extremely general patterns of patient-arrival, allocation to treatment and loss to follow-up in (randomized) clinical trial settings, the sequentially computed logrank statistic (Mantel, 1966) is shown (under the null hypothesis of identically distributed lifetimes) to have exactly uncorrelated increments, and is shown via Rebolledo's (1980) martingale invariance principle to satisfy a functional central limit theorem, justifying sequential logrank tests of Jones and Whitehead (1979). Generalizations are made to other two-sample rank tests for censored survival data, and practical applicability to real randomized clinical trials is discussed.

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Eric V. Slud. "Sequential Linear Rank Tests for Two-Sample Censored Survival Data." Ann. Statist. 12 (2) 551 - 571, June, 1984. https://doi.org/10.1214/aos/1176346505

Information

Published: June, 1984
First available in Project Euclid: 12 April 2007

zbMATH: 0547.62054
MathSciNet: MR740911
Digital Object Identifier: 10.1214/aos/1176346505

Subjects:
Primary: 62L10
Secondary: 60G42, 62E20, 62G10

Rights: Copyright © 1984 Institute of Mathematical Statistics

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Vol.12 • No. 2 • June, 1984
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