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Ball divergence for the equality test of crossing survival curves

Lookup NU author(s): Professor Hongsheng DaiORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

It is a very common problem to test survival equality using the right-censored time-to-event data in clinical research. Although the log-rank test is popularly used in various studies, it may become insensitive when the proportional hazards assumption is violated. As follows, there have a variety of statistical methods being proposed to identify the discrepancy between crossing survival curves or hazard functions. The omnibus tests against general alternatives are usually preferred due to their wide applicability to complicated scenarios in real applications. In this paper, we propose two novel statistics to estimate the ball divergence using the right-censored survival data, and then implement them in the equality test on survival time in two independent groups.The simulation analysis demonstrates their efficiency in identifying the survival discrepancy. Compared to the existing methods, our proposed methods present higher power in situations with complex distributions, especially when there is a scale shift between groups. Real examples illustrate its advantage in practical applications.


Publication metadata

Author(s): You Na, He Xueyi, Dai Hongsheng, Wang Xueqin

Publication type: Article

Publication status: Published

Journal: Statistics in medicine

Year: 2023

Volume: 42

Issue: 29

Pages: 5353-5368

Print publication date: 20/12/2023

Online publication date: 26/09/2023

Acceptance date: 11/09/2023

Date deposited: 13/09/2023

ISSN (print): 0277-6715

ISSN (electronic): 1097-0258

Publisher: John Wiley & Sons Ltd.

URL: https://doi.org/10.1002/sim.9914

DOI: 10.1002/sim.9914

ePrints DOI: 10.57711/94ea-g784

Data Access Statement: The 18 reconstructed datasets that support the findings of this study were kindly shared from Dr. Ina Dormuth, TU Dortmund University. Our proposed method was implemented as R package SurvBD, and publicly available at https://github.com/scrcss/SurvBD.


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Funding

Funder referenceFunder name
Guangdong Basic and Applied Basic Research Foundation (2023A1515012254)
National Natural Science Foundation of China (12231017)
National Natural Science Foundation of China (71991474)
National Natural Science Foundation of China (72171216)
National Natural Science Foundation of China (12126610)
National Natural Science Foundation of China (71921001)
Science and Technology Program of Guangzhou, China (202002030129)

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