Weighted Log-Rank Test for Clinical Trials with Delayed Treatment Effect Based on a Novel Hazard Function Family

Kaihuan Qian and Xiaohua Zhou
Additional contact information
Kaihuan Qian: Department of Biostatistics, School of Public Health, Peking University, Beijing 100191, China
Xiaohua Zhou: Department of Biostatistics, School of Public Health, Peking University, Beijing 100191, China

Mathematics, 2022, vol. 10, issue 15, 1-22

Abstract: In clinical trials with delayed treatment effect, the standard log-rank method in testing the difference between survival functions may have problems, including low power and poor robustness, so the method of weighted log-rank test (WLRT) is developed to improve the test performance. In this paper, a hyperbolic-cosine-shaped ( C H ) hazard function family model is proposed to simulate delayed treatment effect scenarios. Then, based on Fleming and Harrington’s method, this paper derives the corresponding weight function and its regular corrections, which are powerful in test, theoretically. Alternative methods of parameters selection based on potential information are also developed. Further, the simulation study is conducted to compare the power performance between C H WLRT, classical WLRT, modest weighted log-rank test and WLRT with logistic-type weight function under different hazard scenarios and simulation settings. The results indicate that the C H statistics are powerful and robust in testing the late difference, so the C H test is useful and meaningful in practice.

Keywords: clinical trial; survival analysis; weighted log-rank test; non-proportional hazard; delayed treatment effect (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/15/2573/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/15/2573/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:15:p:2573-:d:870767

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().