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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
The case-cohort design is widely used in large epidemiological studies and prevention trials for cost reduction. In this paper, we propose an empirical likelihood based inferential procedure for the case-cohort design under Cox model. The proposed log-empirical likelihood ratio test statistics for the regression parameters are shown to possess chi-squared limiting distributions. The profile empirical likelihood can be applied to make inferences about linear combinations of the entire parameter vector. The proposed approach which avoids the complex variance estimation is an attractive alternative to the existing Wald-type inferential procedures. Simulation studies are conducted to assess the finite sample performances of the proposed inferential procedures. A real example is also provided for illustration.
Keywords:Case-cohort; Cox model; Empirical likelihood; Likelihood ratio test; Wilks theorem