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Volume 25 (2025)
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JP Journal of Biostatistics
JP Journal of Biostatistics
Volume 4, Issue 2, Pages 123 - 138 (June 2010)
OVERCOMING THE PROBLEM OF INDEPENDENCE ASSUMPTION IN COMPETING RISKS MODEL BY GAMMA FRAILTY MODELS: APPLICATION FOR IRANIAN COLORECTAL CANCER PATIENTS
Mohamad Asghari Jafarabadi, Ebrahim Hajizadeh, Anoshirvan Kazemnejad and Seyed Reza Fatemi
Abstract:
In the competing risks problem, wherein occurring the event by one cause prevents it by other cause(s), the assumption of independence cannot be checked by data only and the classical analyses are usually done by considering the independence assumption. This paper shows how the results of Finkelstein and Esaulova [5] can be extended to overcome the problem of independence assumption in competing risks model by using frailty models. Gamma frailty model and Weibull distribution for competing failure times were considered and parameter was estimated. The results were applied on an Iranian colorectal cancer real data set by three approaches: ordinary Weibull model, ordinary Weibull model with robust standard error (SE) and Weibull model with frailty component. In the third approach, in spite of two other approaches, both the parameter estimates and their SE’s have been adjusted for model assumption related misspecifications. Therefore inserting frailty component will do a model correction on both aspects of accuracy and precision. This finding may be useful for many situations at which there is uncertainty about or the independence assumption of failure times is not hold, such as competing risks, recurrent events and clustered data such as modeling clustered survival data from multicenter clinical trials.
Keywords and phrases:
competing risks, frailty, survival, gamma, Weibull, independence, colorectal cancer.
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P-ISSN: 0973-5143
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