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Partial Partial Likelihood
Umeå University, Faculty of Social Sciences, Statistics.
Umeå University, Faculty of Social Sciences, Statistics.
2008 (English)In: Communications in Statistics: Simulation and Computation, ISSN 0361-0918, Vol. 37, no 4, 679-686 p.Article in journal (Refereed) Published
Abstract [en]

The maximum likelihood and maximum partial likelihood

approaches to the proportional hazards model are unified. The purpose is to give a general approach to the analysis of the proportional hazards model, whether the baseline distribution is absolutely continuous, discrete, or a mixture. The advantage is that heavily tied data will be analyzed with a discrete time model, while data with no ties is analyzed with ordinary Cox regression. Data sets in between are treated by a compromise between the discrete time model and Efron's approach to tied data in survival analysis, and the transitions between modes are automatic. A simulation study is conducted comparing the proposed approach to standard methods of handling ties. A recent suggestion, that revives Breslow's approach to tied data, is finally discussed.

Place, publisher, year, edition, pages
2008. Vol. 37, no 4, 679-686 p.
Keyword [en]
Breslow's method, Cox regression, Efron's method, partial likelihood, profile likelihood, survival analysis, tied data
National Category
Probability Theory and Statistics Bioinformatics (Computational Biology)
Identifiers
URN: urn:nbn:se:umu:diva-9671DOI: doi:10.1080/03610910701884021OAI: oai:DiVA.org:umu-9671DiVA: diva2:149342
Available from: 2008-05-15 Created: 2008-05-15 Last updated: 2011-01-10Bibliographically approved

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