The Annals of Statistics

Sequential Linear Rank Tests for Two-Sample Censored Survival Data

Eric V. Slud

Full-text: Open access

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.

Article information

Source
Ann. Statist., Volume 12, Number 2 (1984), 551-571.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176346505

Digital Object Identifier
doi:10.1214/aos/1176346505

Mathematical Reviews number (MathSciNet)
MR740911

Zentralblatt MATH identifier
0547.62054

JSTOR
links.jstor.org

Subjects
Primary: 62L10: Sequential analysis
Secondary: 62G10: Hypothesis testing 60G42: Martingales with discrete parameter 62E20: Asymptotic distribution theory

Keywords
Censored survival data logrank statistic linear rank statistics sequential testing martingale central limit theorems counting processes

Citation

Slud, Eric V. Sequential Linear Rank Tests for Two-Sample Censored Survival Data. Ann. Statist. 12 (1984), no. 2, 551--571. doi:10.1214/aos/1176346505. https://projecteuclid.org/euclid.aos/1176346505


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