caa a22 4500 605476233 CHVBK 20210128100355.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10985-014-9313-9 doi (NATIONALLICENCE)springer-10.1007/s10985-014-9313-9 Checking Fine and Gray subdistribution hazards model with cumulative sums of residuals [Elektronische Daten] [Jianing Li, Thomas Scheike, Mei-Jie Zhang] Recently, Fine and Gray (J Am Stat Assoc 94:496-509, 1999) proposed a semi-parametric proportional regression model for the subdistribution hazard function which has been used extensively for analyzing competing risks data. However, failure of model adequacy could lead to severe bias in parameter estimation, and only a limited contribution has been made to check the model assumptions. In this paper, we present a class of analytical methods and graphical approaches for checking the assumptions of Fine and Gray's model. The proposed goodness-of-fit test procedures are based on the cumulative sums of residuals, which validate the model in three aspects: (1) proportionality of hazard ratio, (2) the linear functional form and (3) the link function. For each assumption testing, we provide a $$p$$ p -values and a visualized plot against the null hypothesis using a simulation-based approach. We also consider an omnibus test for overall evaluation against any model misspecification. The proposed tests perform well in simulation studies and are illustrated with two real data examples. Springer Science+Business Media New York, 2014 Competing risk nationallicence Goodness-of-fit nationallicence Proportional subdistribution hazard nationallicence Cumulative residual nationallicence Link function nationallicence Omnibus test nationallicence Li Jianing Division of Biostatistics, Medical College of Wisconsin, Milwaukee, USA aut Scheike Thomas Department of Biostatistics, University of Copenhagen, Copenhagen, Denmark aut Zhang Mei-Jie Division of Biostatistics, Medical College of Wisconsin, Milwaukee, USA aut Lifetime Data Analysis Springer US; http://www.springer-ny.com 21/2(2015-04-01), 197-217 1380-7870 21:2<197 2015 21 10985 https://doi.org/10.1007/s10985-014-9313-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10985-014-9313-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Jianing Division of Biostatistics, Medical College of Wisconsin, Milwaukee, USA aut NATIONALLICENCE 700 1- Scheike Thomas Department of Biostatistics, University of Copenhagen, Copenhagen, Denmark aut NATIONALLICENCE 700 1- Zhang Mei-Jie Division of Biostatistics, Medical College of Wisconsin, Milwaukee, USA aut NATIONALLICENCE 773 0- Lifetime Data Analysis Springer US; http://www.springer-ny.com 21/2(2015-04-01), 197-217 1380-7870 21:2<197 2015 21 10985