Minimum power-divergence estimator in three-way contingency tables



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Pardo Llorente, Leandro and Pardo Llorente, María del Carmen (2003) Minimum power-divergence estimator in three-way contingency tables. Journal of Statistical Computation and Simulation, 73 (11). pp. 819-831. ISSN 0094-9655

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Cressie et al. (2000; 2003) introduced and studied a new family of statistics, based on the phi-divergence measure, for solving the problem of testing a nested sequence of loglinear models. In that family of test statistics the parameters are estimated using the minimum phi-divergence estimator which is a generalization of the maximum likelihood estimator. In this paper we study the minimum power-divergence estimator (the most important family of minimum phi-divergence estimator) for a nested sequence of loglinear models in three-way contingency tables under assumptions of multinomial sampling. A simulation study illustrates that the minimum chi-squared estimator is simultaneously the most robust and efficient estimator among the family of the minimum power-divergence estimator.

Item Type:Article
Uncontrolled Keywords:contingency tables; loglinear models; ordinary minimum power-divergence estimator; penalized minimum power-divergence estimator; phi-divergence measure; distance; models
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:17809
Deposited On:21 Jan 2013 11:05
Last Modified:16 Sep 2015 08:26

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