Checking Fine and Gray subdistribution hazards model with cumulative sums of residuals

Verfasser / Beitragende:
[Jianing Li, Thomas Scheike, Mei-Jie Zhang]
Ort, Verlag, Jahr:
2015
Enthalten in:
Lifetime Data Analysis, 21/2(2015-04-01), 197-217
Format:
Artikel (online)
ID: 605476233
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024 7 0 |a 10.1007/s10985-014-9313-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10985-014-9313-9 
245 0 0 |a Checking Fine and Gray subdistribution hazards model with cumulative sums of residuals  |h [Elektronische Daten]  |c [Jianing Li, Thomas Scheike, Mei-Jie Zhang] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2014 
690 7 |a Competing risk  |2 nationallicence 
690 7 |a Goodness-of-fit  |2 nationallicence 
690 7 |a Proportional subdistribution hazard  |2 nationallicence 
690 7 |a Cumulative residual  |2 nationallicence 
690 7 |a Link function  |2 nationallicence 
690 7 |a Omnibus test  |2 nationallicence 
700 1 |a Li  |D Jianing  |u Division of Biostatistics, Medical College of Wisconsin, Milwaukee, USA  |4 aut 
700 1 |a Scheike  |D Thomas  |u Department of Biostatistics, University of Copenhagen, Copenhagen, Denmark  |4 aut 
700 1 |a Zhang  |D Mei-Jie  |u Division of Biostatistics, Medical College of Wisconsin, Milwaukee, USA  |4 aut 
773 0 |t Lifetime Data Analysis  |d Springer US; http://www.springer-ny.com  |g 21/2(2015-04-01), 197-217  |x 1380-7870  |q 21:2<197  |1 2015  |2 21  |o 10985 
856 4 0 |u https://doi.org/10.1007/s10985-014-9313-9  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10985-014-9313-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Li  |D Jianing  |u Division of Biostatistics, Medical College of Wisconsin, Milwaukee, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Scheike  |D Thomas  |u Department of Biostatistics, University of Copenhagen, Copenhagen, Denmark  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zhang  |D Mei-Jie  |u Division of Biostatistics, Medical College of Wisconsin, Milwaukee, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Lifetime Data Analysis  |d Springer US; http://www.springer-ny.com  |g 21/2(2015-04-01), 197-217  |x 1380-7870  |q 21:2<197  |1 2015  |2 21  |o 10985