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Original Articles

The Win Ratio: On Interpretation and Handling of Ties

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Pages 99-106 | Received 04 May 2018, Accepted 21 Jan 2019, Published online: 25 Apr 2019

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Margaret Gamalo, Yihua Zhao, Aijun Gao, Jingjing Ye, Junjing Lin, Eiji Eshida, YounJeong Choi & Robert Nelson. (2023) Extent of safety database in pediatric drug development: types of assessment, analytical precision, and pathway for extrapolation through on-target effects. Journal of Biopharmaceutical Statistics 33:6, pages 770-785.
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Yodit Seifu, Shahrul Mt-Isa, Kyle Duke, Margaret Gamalo-Siebers, William Wang, Gaohong Dong & John Kolassa. (2023) Design of paediatric trials with benefit-risk endpoints using a composite score of adverse events of interest (AEI) and win-statistics. Journal of Biopharmaceutical Statistics 33:6, pages 696-707.
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Sirui Zheng, Duolao Wang, Junshan Qiu, Tao Chen & Margaret Gamalo. (2023) A win ratio approach for comparing crossing survival curves in clinical trials. Journal of Biopharmaceutical Statistics 33:4, pages 488-501.
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Ying Cui, Gaohong Dong, Pei Fen Kuan & Bo Huang. (2023) Evidence synthesis analysis with prioritized benefit outcomes in oncology clinical trials. Journal of Biopharmaceutical Statistics 33:3, pages 272-288.
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Heinz Schmidli, James H. Roger & Mouna Akacha. (2023) Estimands for Recurrent Event Endpoints in the Presence of a Terminal Event. Statistics in Biopharmaceutical Research 15:2, pages 238-248.
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James Song, Johan Verbeeck, Bo Huang, David C. Hoaglin, Margaret Gamalo-Siebers, Yodit Seifu, Duolao Wang, Freda Cooner & Gaohong Dong. (2023) The win odds: statistical inference and regression. Journal of Biopharmaceutical Statistics 33:2, pages 140-150.
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Guangyong Zou, Emma Smith & Vipul Jairath. (2022) A nonparametric approach to confidence intervals for concordance index and difference between correlated indices. Journal of Biopharmaceutical Statistics 32:5, pages 740-767.
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Samvel B. Gasparyan, Elaine K. Kowalewski, Folke Folkvaljon, Olof Bengtsson, Joan Buenconsejo, John Adler & Gary G. Koch. (2021) Power and sample size calculation for the win odds test: application to an ordinal endpoint in COVID-19 trials. Journal of Biopharmaceutical Statistics 31:6, pages 765-787.
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Lu Mao & KyungMann Kim. (2021) Statistical Models for Composite Endpoints of Death and Nonfatal Events: A Review. Statistics in Biopharmaceutical Research 13:3, pages 260-269.
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Gaohong Dong, Lu Mao, Bo Huang, Margaret Gamalo-Siebers, Jiuzhou Wang, GuangLei Yu & David C. Hoaglin. (2020) The inverse-probability-of-censoring weighting (IPCW) adjusted win ratio statistic: an unbiased estimator in the presence of independent censoring. Journal of Biopharmaceutical Statistics 30:5, pages 882-899.
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Ziqiao Wang & Jie Chen. (2020) Testing for Trend in Benefit-Risk Analysis with Prioritized Multiple Outcomes. Statistics in Biopharmaceutical Research 12:3, pages 380-389.
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Articles from other publishers (22)

Dustin J. Little, Samvel B. Gasparyan, Patrick Schloemer, Niels Jongs, Meike Brinker, Martin Karpefors, Christoph Tasto, Nicole Rethemeier, Lars Frison, Richard Nkulikiyinka, Jerome Rossert & Hiddo J.L. Heerspink. (2023) Validity and Utility of a Hierarchical Composite End Point for Clinical Trials of Kidney Disease Progression: A Review. Journal of the American Society of Nephrology 34:12, pages 1928-1935.
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Giulio Francesco Romiti, Yutao Guo, Bernadette Corica, Marco Proietti, Hui Zhang & Gregory Y. H. Lip. (2023) Mobile Health-Technology-Integrated Care for Atrial Fibrillation: A Win Ratio Analysis from the mAFA-II Randomized Clinical Trial. Thrombosis and Haemostasis 123:11, pages 1042-1048.
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Toru Kondo, Samvel B. Gasparyan, Pardeep S. Jhund, Olof Bengtsson, Brian L. Claggett, Rudolf A. de Boer, Adrian F. Hernandez, Silvio E. Inzucchi, Mikhail N. Kosiborod, Lars Køber, Carolyn S.P. Lam, Anna Maria Langkilde, Felipe A. Martinez, Magnus Petersson, Piotr Ponikowski, Marc S. Sabatine, Sanjiv J. Shah, Mikaela Sjostrand, Ulrica Wilderang, Muthiah Vaduganathan, Scott D. Solomon & John J.V. McMurray. (2023) Use of Win Statistics to Analyze Outcomes in the DAPA-HF and DELIVER Trials. NEJM Evidence 2:11.
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Johan Verbeeck, Maya Dirani, Johann W. Bauer, Ralf-Dieter Hilgers, Geert Molenberghs & Rima Nabbout. (2023) Composite endpoints, including patient reported outcomes, in rare diseases. Orphanet Journal of Rare Diseases 18:1.
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Gaohong Dong, David C. Hoaglin, Bo Huang, Ying Cui, Duolao Wang, Yu Cheng & Margaret Gamalo‐Siebers. (2023) The stratified win statistics (win ratio, win odds, and net benefit). Pharmaceutical Statistics 22:4, pages 748-756.
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Kanako Fuyama, Mitsunori Ogawa, Junki Mizusawa, Yukihide Kanemitsu, Shin Fujita, Takuya Kawahara, Kentaro Sakamaki & Koji Oba. (2023) Impact of correlations between prioritized outcomes on the net benefit and its estimate by generalized pairwise comparisons. Statistics in Medicine 42:10, pages 1606-1624.
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Guangyong Zou, Lily Zou & Shi‐fang Qiu. (2022) Parametric and nonparametric methods for confidence intervals and sample size planning for win probability in parallel‐group randomized trials with Likert item and Likert scale data. Pharmaceutical Statistics 22:3, pages 418-439.
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William N. Anderson & Johan Verbeeck. (2023) Exact Permutation and Bootstrap Distribution of Generalized Pairwise Comparisons Statistics. Mathematics 11:6, pages 1502.
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Hongji Wu, Yawen Hou & Zheng Chen. (2022) Investigations of methods for multiple time‐to‐event endpoints: A chronic myeloid leukemia data analysis. Journal of Evaluation in Clinical Practice 29:1, pages 211-217.
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Vaiva Deltuvaite‐Thomas, Johan Verbeeck, Tomasz Burzykowski, Marc Buyse, Christophe Tournigand, Geert Molenberghs & Olivier Thas. (2022) Generalized pairwise comparisons for censored data: An overview. Biometrical Journal 65:2.
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Bang Wang, Dali Zhou, Jialu Zhang, Yoonhee Kim, Ling-Wan Chen, Preston Dunnmon, Steven Bai, Ququan Liu & Eiji Ishida. (2023) Statistical power considerations in the use of win ratio in cardiovascular outcome trials. Contemporary Clinical Trials 124, pages 107040.
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Gaohong Dong, Bo Huang, Johan Verbeeck, Ying Cui, James Song, Margaret Gamalo‐Siebers, Duolao Wang, David C. Hoaglin, Yodit Seifu, Tobias Mütze & John Kolassa. (2022) Win statistics (win ratio, win odds, and net benefit) can complement one another to show the strength of the treatment effect on time‐to‐event outcomes. Pharmaceutical Statistics 22:1, pages 20-33.
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Roland A. Matsouaka. (2022) Robust statistical inference for matched win statistics. Statistical Methods in Medical Research 31:8, pages 1423-1438.
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Eliza W. Beal, Djhenne Dalmacy, Alessandro Paro, J. Madison Hyer, Jordan Cloyd, Mary Dillhoff, Aslam Ejaz & Timothy M. Pawlik. (2022) Comparing Minimally Invasive and Open Pancreaticoduodenectomy for the Treatment of Pancreatic Cancer: a Win Ratio Analysis. Journal of Gastrointestinal Surgery 26:8, pages 1697-1704.
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Samvel B. Gasparyan, Elaine K. Kowalewski & Gary G. Koch. (2022) Comments on “Sample size formula for a win ratio endpoint” by R. X. Yu and J. Ganju. Statistics in Medicine 41:14, pages 2688-2690.
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Lu Mao, KyungMann Kim & Yi Li. (2022) On recurrent-event win ratio. Statistical Methods in Medical Research 31:6, pages 1120-1134.
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Hannah Johns, Dominic Italiano, Bruce Campbell & Leonid Churilov. (2022) Common scale minimal sufficient balance: An improved method for covariate‐adaptive randomization based on the Wilcoxon‐Mann‐Whitney odds ratio statistic. Statistics in Medicine 41:10, pages 1846-1861.
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Ron Xiaolong Yu & Jitendra Ganju. (2022) Sample size formula for a win ratio endpoint. Statistics in Medicine 41:6, pages 950-963.
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Edgar Brunner, Marc Vandemeulebroecke & Tobias Mütze. (2021) Win odds: An adaptation of the win ratio to include ties. Statistics in Medicine 40:14, pages 3367-3384.
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Gaohong Dong, Bo Huang, Duolao Wang, Johan Verbeeck, Jiuzhou Wang & David C. Hoaglin. (2020) Adjusting win statistics for dependent censoring. Pharmaceutical Statistics 20:3, pages 440-450.
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Björn Redfors, John Gregson, Aaron Crowley, Thomas McAndrew, Ori Ben-Yehuda, Gregg W Stone & Stuart J Pocock. (2020) The win ratio approach for composite endpoints: practical guidance based on previous experience. European Heart Journal 41:46, pages 4391-4399.
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Gaohong Dong, Bo Huang, Yu‐Wei Chang, Yodit Seifu, James Song & David C. Hoaglin. (2019) The win ratio: Impact of censoring and follow‐up time and use with nonproportional hazards. Pharmaceutical Statistics 19:3, pages 168-177.
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