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      Practical recommendations for reporting Fine‐Gray model analyses for competing risk data

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          Abstract

          In survival analysis, a competing risk is an event whose occurrence precludes the occurrence of the primary event of interest. Outcomes in medical research are frequently subject to competing risks. In survival analysis, there are 2 key questions that can be addressed using competing risk regression models: first, which covariates affect the rate at which events occur, and second, which covariates affect the probability of an event occurring over time. The cause‐specific hazard model estimates the effect of covariates on the rate at which events occur in subjects who are currently event‐free. Subdistribution hazard ratios obtained from the Fine‐Gray model describe the relative effect of covariates on the subdistribution hazard function. Hence, the covariates in this model can also be interpreted as having an effect on the cumulative incidence function or on the probability of events occurring over time. We conducted a review of the use and interpretation of the Fine‐Gray subdistribution hazard model in articles published in the medical literature in 2015. We found that many authors provided an unclear or incorrect interpretation of the regression coefficients associated with this model. An incorrect and inconsistent interpretation of regression coefficients may lead to confusion when comparing results across different studies. Furthermore, an incorrect interpretation of estimated regression coefficients can result in an incorrect understanding about the magnitude of the association between exposure and the incidence of the outcome. The objective of this article is to clarify how these regression coefficients should be reported and to propose suggestions for interpreting these coefficients.

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          A Proportional Hazards Model for the Subdistribution of a Competing Risk

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            Nonparametric Estimation from Incomplete Observations

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              Introduction to the Analysis of Survival Data in the Presence of Competing Risks

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                Author and article information

                Contributors
                peter.austin@ices.on.ca
                Journal
                Stat Med
                Stat Med
                10.1002/(ISSN)1097-0258
                SIM
                Statistics in Medicine
                John Wiley and Sons Inc. (Hoboken )
                0277-6715
                1097-0258
                15 September 2017
                30 November 2017
                : 36
                : 27 ( doiID: 10.1002/sim.v36.27 )
                : 4391-4400
                Affiliations
                [ 1 ] Institute for Clinical Evaluative Sciences Toronto Ontario Canada
                [ 2 ] Institute of Health Policy, Management and Evaluation University of Toronto Toronto Ontario Canada
                [ 3 ] Schulich Heart Research Program Sunnybrook Research Institute Toronto Ontario Canada
                [ 4 ] Department of Biostatistics University of North Carolina Chapel Hill North Carolina USA
                [ 5 ] Department of Statistics and Operations Research University of North Carolina Chapel Hill North Carolina USA
                Author notes
                [*] [* ] Correspondence

                Peter Austin, Institute for Clinical Evaluative Sciences, G106, 2075 Bayview Avenue, Toronto, Ontario M4N 3M5, Canada.

                Email: peter.austin@ 123456ices.on.ca

                Author information
                http://orcid.org/0000-0003-3337-233X
                Article
                SIM7501 SIM-17-0285.R1
                10.1002/sim.7501
                5698744
                28913837
                ea262c8a-2331-4dea-9236-38f52455e2e8
                © 2017 The Authors. Statistics in Medicine published by John Wiley & Sons Ltd.

                This is an open access article under the terms of the Creative Commons Attribution‐NonCommercial‐NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non‐commercial and no modifications or adaptations are made.

                History
                : 20 April 2017
                : 11 July 2017
                : 25 August 2017
                Page count
                Figures: 1, Tables: 1, Pages: 10, Words: 6181
                Funding
                Funded by: Heart and Stroke Foundation
                Funded by: Canadian Institutes of Health Research
                Award ID: CRT43823
                Award ID: CTP 79847
                Award ID: MOP 86508
                Funded by: Ontario Ministry of Health and Long‐Term Care (MOHLTC)
                Categories
                Research Article
                Research Articles
                Custom metadata
                2.0
                sim7501
                30 November 2017
                Converter:WILEY_ML3GV2_TO_NLMPMC version:5.2.6 mode:remove_FC converted:22.11.2017

                Biostatistics
                competing risks,cumulative incidence function,subdistribution hazard model,survival analysis

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