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APPLICATION OF THE EMPIRICAL LIKELIHOOD METHOD IN PROPORTIONAL HAZARDS MODEL
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| Title | APPLICATION OF THE EMPIRICAL LIKELIHOOD METHOD IN PROPORTIONAL HAZARDS MODEL |
| Author | He, Bin
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| Keywords | Dissertations, Academic -- Sciences
Sciences -- Dissertations, Academic
Statistical hypothesis testing
Survival analysis (Biometry)
Bootstrap
Confidence interval
Cox model
Doubly censored data
Empirical likelihood function
Goodness of fit test
Maximum likelihood
Partly interval censored data
Proportional hazards model
Right censored data
Survival analysis
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| Abstract | In survival analysis, proportional hazards model is the most commonly used and the Cox model is the most popular. These models are developed to facilitate statistical analysis frequently encountered in medical research or reliability studies. In analyzing real data sets, checking the validity of the model assumptions is a key component. However, the presence of complicated types of censoring such as double censoring and partly interval-censoring in survival data makes model assessment difficult, and the existing tests for goodness-of-fit do not have direct extension to these complicated types of censored data. In this work, we use empirical likelihood (Owen, 1988) approach to construct goodness-of-fit test and provide estimates for the Cox model with various types of censored data. Specifically, the problems under consideration are the two-sample Cox model and stratified Cox model with right censored data, doubly censored data and partly interval-censored data. Related computational issues are discussed, and some simulation results are presented. The procedures developed in the work are applied to several real data sets with some discussion. |
| Adviser | Ren, Jian-Jian
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| Publisher | University of Central Florida |
| Degree | Ph.D.
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| Degree Discipline | Department of Mathematics
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| Degree Grantor | Sciences
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| Degree Program | Mathematics
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| Graduation Date | 2006-05-01 |
| Type | Doctoral dissertation
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| Access Level | Public - Allow Worldwide Access
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| Release Date | 2007-01-31 |
| Repository | University Archives
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| Repository Collection | Electronic Theses and Dissertations
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| Identifier | CFE0001099 |
| Access Link | http://purl.fcla.edu/fcla/etd/CFE0001099 |
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