Log-rank and stratified log-rank tests

Autor: Ting Ye, Jun Shao, Yanyao Yi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Statistical Theory and Related Fields, Vol 0, Iss 0, Pp 1-9 (2023)
Druh dokumentu: article
ISSN: 2475-4269
2475-4277
24754269
DOI: 10.1080/24754269.2023.2263720
Popis: In randomized clinical trials with right-censored time-to-event outcomes, the popular log-rank test without adjusting for baseline covariates is asymptotically valid for treatment effect under simple randomization of treatments but is too conservative under covariate-adaptive randomization. The stratified log-rank test, which adjusts baseline covariates in the test procedure by stratification, is asymptotically valid regardless of what treatment randomization is applied. In the literature, however, under simple randomization there is no affirmative conclusion about whether the stratified log-rank test is asymptotically more powerful than the unstratified log-rank test. In this article we show when the stratified and unstratified log-rank tests aim for the same null hypothesis and that, under simple randomization, the stratified log-rank test is asymptotically more powerful than the unstratified log-rank test in the region of alternative hypothesis that is specified by a Cox proportional hazards model. We also provide some discussion about why we do not have an affirmative conclusion in general.
Databáze: Directory of Open Access Journals