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The stratified win statistics (win ratio, win odds, and net benefit)

Dong, Gaohong, Hoaglin, David C., Huang, Bo, Cui, Ying, Wang, Duolao ORCID:, Cheng, Yu and Gamalo‐Siebers, Margaret (2023) 'The stratified win statistics (win ratio, win odds, and net benefit)'. Pharmaceutical Statistics, Vol 22, Issue 4, pp. 748-756.

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The win odds and the net benefit are related directly to each other and indirectly, through ties, to the win ratio. These three win statistics test the same null hypothesis of equal win probabilities between two groups. They provide similar p-values and powers, because the Z-values of their statistical tests are approximately equal. Thus, they can complement one another to show the strength of a treatment effect. In this article, we show that the estimated variances of the win statistics are also directly related regardless of ties or indirectly related through ties. Since its introduction in 2018, the stratified win ratio has been applied in designs and analyses of clinical trials, including Phase III and Phase IV studies. This article generalizes the stratified method to the win odds and the net benefit. As a result, the relations of the three win statistics and the approximate equivalence of their statistical tests also hold for the stratified win statistics.

Item Type: Article
Subjects: WA Public Health > Statistics. Surveys > WA 900 Public health statistics
WA Public Health > Statistics. Surveys > WA 950 Theory or methods of medical statistics. Epidemiologic methods
Faculty: Department: Clinical Sciences & International Health > Clinical Sciences Department
Digital Object Identifer (DOI):
SWORD Depositor: JISC Pubrouter
Depositing User: JISC Pubrouter
Date Deposited: 20 Mar 2023 11:46
Last Modified: 20 Feb 2024 04:13


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