A monotonicity property of weighted log-rank tests

Coolen-Maturi, T.; Coolen, F.P.A.

doi:10.1080/03610926.2021.1952270

A monotonicity property of weighted log-rank tests

Coolen-Maturi, T.; Coolen, F.P.A.

Authors

Dr Tahani Coolen-Maturi tahani.maturi@durham.ac.uk
Associate Professor

Professor Frank Coolen frank.coolen@durham.ac.uk
Professor

Abstract

The logrank test is a well-known nonparametric test which is often used to compare the survival distributions of two samples including right-censored observations, it is also known as the Mantel-Haenszel test. The Gρ family of tests, generalizes the logrank test by using weights assigned to observations. In this paper, we present a switch monotonicity property for the Gρ family of tests, which was motivated by the need to derive bounds for the test statistic in case of imprecise data observations. This property states that, when all observations from two independent groups are ranked together, the value of the z-test statistic is monotonically increasing after switching a pair of adjacent values from the two groups. Two examples are provided to motivate and illustrate the result presented in this paper.

Citation

Coolen-Maturi, T., & Coolen, F. (2023). A monotonicity property of weighted log-rank tests. Communications in Statistics - Theory and Methods, 52(7), 2402-2416. https://doi.org/10.1080/03610926.2021.1952270

Journal Article Type	Article
Acceptance Date	Jun 30, 2021
Online Publication Date	Jul 14, 2021
Publication Date	2023
Deposit Date	Jun 30, 2021
Publicly Available Date	May 17, 2023
Journal	Communications in Statistics - Theory and Methods
Print ISSN	0361-0926
Electronic ISSN	1532-415X
Publisher	Taylor and Francis Group
Peer Reviewed	Peer Reviewed
Volume	52
Issue	7
Pages	2402-2416
DOI	https://doi.org/10.1080/03610926.2021.1952270

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