Rare Event Approximation Between Subdistribution Hazard Ratio and Cause-specific Hazard Ratio in Survival Analysis With Competing Risks
Background: Despite the fact that competing risks are inevitable in epidemiological and clinical studies, distinctions between the hazard ratio estimated by handling competing risks as censoring and the subditribution hazard ratio are often overlooked. Methods: We derived quantitative relationships...
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| Format: | Article |
| Language: | English |
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Japan Epidemiological Association
2024-12-01
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| Series: | Journal of Epidemiology |
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| Online Access: | https://www.jstage.jst.go.jp/article/jea/34/12/34_JE20240063/_pdf |
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| author | Shiro Tanaka |
| author_facet | Shiro Tanaka |
| author_sort | Shiro Tanaka |
| collection | DOAJ |
| description | Background: Despite the fact that competing risks are inevitable in epidemiological and clinical studies, distinctions between the hazard ratio estimated by handling competing risks as censoring and the subditribution hazard ratio are often overlooked. Methods: We derived quantitative relationships between subdistribution hazard ratio and cause-specific hazard ratio and derive an approximate calculation method to transform the two into each other. Numerical examinations of hypothetical six scenarios and published information of a randomized clinical trial of cholesterol-lowering therapy and a registry of acute myeloid leukemia were provided. Results: General and approximate relationships under rare event assumptions between the two types of hazard ratio were given. The approximation formula is based on a survival ratio and has two possible applications. First, one can calculate a subdistribution hazard ratio from published information. Second, this formula allows sample size estimation that takes the presence of competing risks into account. Conclusion: The distinction between the two types of hazard ratio can be addressed by focusing on two quantities. One is how the event of interest and competing risk is rare, and the other is the survival ratio. |
| format | Article |
| id | doaj-art-d0368c3e1d2d45a282c736748ebf36dc |
| institution | Kabale University |
| issn | 0917-5040 1349-9092 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Japan Epidemiological Association |
| record_format | Article |
| series | Journal of Epidemiology |
| spelling | doaj-art-d0368c3e1d2d45a282c736748ebf36dc2024-12-05T01:45:42ZengJapan Epidemiological AssociationJournal of Epidemiology0917-50401349-90922024-12-01341259559910.2188/jea.JE20240063Rare Event Approximation Between Subdistribution Hazard Ratio and Cause-specific Hazard Ratio in Survival Analysis With Competing RisksShiro Tanaka0Department of Clinical Biostatistics, Graduate School of Medicine, Kyoto University, Kyoto, JapanBackground: Despite the fact that competing risks are inevitable in epidemiological and clinical studies, distinctions between the hazard ratio estimated by handling competing risks as censoring and the subditribution hazard ratio are often overlooked. Methods: We derived quantitative relationships between subdistribution hazard ratio and cause-specific hazard ratio and derive an approximate calculation method to transform the two into each other. Numerical examinations of hypothetical six scenarios and published information of a randomized clinical trial of cholesterol-lowering therapy and a registry of acute myeloid leukemia were provided. Results: General and approximate relationships under rare event assumptions between the two types of hazard ratio were given. The approximation formula is based on a survival ratio and has two possible applications. First, one can calculate a subdistribution hazard ratio from published information. Second, this formula allows sample size estimation that takes the presence of competing risks into account. Conclusion: The distinction between the two types of hazard ratio can be addressed by focusing on two quantities. One is how the event of interest and competing risk is rare, and the other is the survival ratio.https://www.jstage.jst.go.jp/article/jea/34/12/34_JE20240063/_pdfcompeting riskfine-gray modelsurvival analysiseffect measure |
| spellingShingle | Shiro Tanaka Rare Event Approximation Between Subdistribution Hazard Ratio and Cause-specific Hazard Ratio in Survival Analysis With Competing Risks Journal of Epidemiology competing risk fine-gray model survival analysis effect measure |
| title | Rare Event Approximation Between Subdistribution Hazard Ratio and Cause-specific Hazard Ratio in Survival Analysis With Competing Risks |
| title_full | Rare Event Approximation Between Subdistribution Hazard Ratio and Cause-specific Hazard Ratio in Survival Analysis With Competing Risks |
| title_fullStr | Rare Event Approximation Between Subdistribution Hazard Ratio and Cause-specific Hazard Ratio in Survival Analysis With Competing Risks |
| title_full_unstemmed | Rare Event Approximation Between Subdistribution Hazard Ratio and Cause-specific Hazard Ratio in Survival Analysis With Competing Risks |
| title_short | Rare Event Approximation Between Subdistribution Hazard Ratio and Cause-specific Hazard Ratio in Survival Analysis With Competing Risks |
| title_sort | rare event approximation between subdistribution hazard ratio and cause specific hazard ratio in survival analysis with competing risks |
| topic | competing risk fine-gray model survival analysis effect measure |
| url | https://www.jstage.jst.go.jp/article/jea/34/12/34_JE20240063/_pdf |
| work_keys_str_mv | AT shirotanaka rareeventapproximationbetweensubdistributionhazardratioandcausespecifichazardratioinsurvivalanalysiswithcompetingrisks |