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A Multistate Approach to Estimating the Net Survival Function in the Presence of Competing Risks

Fang, Yen Yen and Ahmad, Noorani and Kassim, Suraiya (2011) A Multistate Approach to Estimating the Net Survival Function in the Presence of Competing Risks. Malaysian Journal of Mathematical Sciences, 5 (1). pp. 125-141. ISSN 1823-8343

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Abstract

In competing risks analysis, formulation and estimation of the net survival function is usually done by the traditional Latent Failure Time approach with Kaplan Meier Estimator. However, this approach involves identifiability problems and based on unverified assumptions of independent risks and equal hazard of the crude and the net. It has been argued that even under independent risks, the equal hazard assumption may not be true in many practical problems. An extended multistate approach by Islam (1994) is proposed in estimating the net survival function without the equal hazard assumption and allows for the presence of informative eliminated risks. A comparison of the results of the proposed procedure to that of the Kaplan Meier Estimator is illustrated on an adapted dataset. The proposed method shows that when noninformative eliminated risks are assumed, the net hazard and the crude hazard are equal, as in the Kaplan Meier Estimator. The proposed procedure is shown to be useful when informative eliminated risks are present and may result in unequal hazard even under independent risks.

Item Type:Article
Keyword:Competing risks, informative eliminated risks, Kaplan Meier Estimator, Latent Failure Time approach, multistate approach, net survival function
Faculty or Institute:Institute for Mathematical Research
Publisher:UPM Press
ID Code:12548
Deposited By: Najwani Amir Sariffudin
Deposited On:01 Jun 2011 17:02
Last Modified:27 May 2013 15:52

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