Volume 75, Issue 1 pp. 347-351
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On the alternative hypotheses for the win ratio

Lu Mao

Corresponding Author

Lu Mao

Department of Biostatistics and Medical Informatics, School of Medicine and Public Health, University of Wisconsin-Madison, K6/428 Clinical Sciences Center, 600 Highland Avenue, Madison, Wisconsin 53792, U.S.A.

email: [email protected]Search for more papers by this author
First published: 10 August 2018
Citations: 22

Summary

We extend the results of Luo et al. (2015, Biometrics 71, 139–145) regarding the alternative hypotheses for the win ratio from hazard orders to the upper quadrant stochastic order on the plane. This extension substantially widens the range of alternatives against which the win ratio is known to be consistent. It incorporates alternatives induced by simple and popular copula models that are left out by the characterization of Luo et al. (2015). We also discuss how our results may be generalized to win ratios in multivariate and stratified settings.

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