{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/kendall-s-tau-for-two-sample-inference","title":"Kendall's Tau for Two-Sample Inference Problems","arxiv_id":"2207.14445","date":"2022-07-29","proceeding":null,"authors":["Yi-Cheng Tai","Weijing Wang","Martin T. Wells","National Yang Ming Chiao Tung U.","Cornell U"],"abstract":"We consider a Kendall's tau measure between a binary group indicator and the continuous variable under investigation to develop a thorough two-sample comparison procedure. The measure serves as a useful alternative to the hazard ratio whose applicability depends on the proportional hazards assumption. For right censored data, we propose a weighted log-rank statistic with weights adapted to the censoring distributions and develop theoretical properties of the derived estimators. In absence of censoring, the proposed estimator reduces to the WMW statistic. The proposed methodology is applied to analyze several data examples.","url_abs":"https://arxiv.org/abs/2207.14445v1","url_pdf":"https://arxiv.org/pdf/2207.14445v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"kendall-s-tau-for-two-sample-inference","repo_url":"https://github.com/s07308/Two-Sample-Inference-with-Tau","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}