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On tests of symmetry, marginal homogeneity and quasi-symmetry in two-way contingency tables based on minimum phi-divergence estimator with constraints

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Menéndez Calleja, María Luisa and Pardo Llorente, Julio Ángel and Pardo Llorente, Leandro and Zografos, Konstantinos (2005) On tests of symmetry, marginal homogeneity and quasi-symmetry in two-way contingency tables based on minimum phi-divergence estimator with constraints. Journal of Statistical Computation and Simulation, 75 (7). pp. 555-580. ISSN 0094-9655

Official URL: http://www.tandfonline.com/doi/abs/10.1080/00949650412331299094


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Abstract

The restricted minimum phi-divergence estimator, [Pardo, J.A., Pardo, L. and Zografos, K., 2002, Minimum phi-divergence estimators with constraints in multinomial populations. Journal of Statistical Planning and Inference, 104, 221-237], is employed to obtain estimates of the cell frequencies of an 1 x 1 contingency table under hypotheses of symmetry, marginal homogeneity or quasi-symmetry. The associated phi-divergence statistics are distributed asymptotically as chi-squared distributions under the null hypothesis. The new estimators and test statistics contain, as particular cases, the classical estimators and test statistics previously presented in the literature for the cited problems. A simulation study is presented, for the symmetry problem, to choose the best function phi(2) for estimation and the best function phi(1) for testing.


Item Type:Article
Uncontrolled Keywords:Phi-divergence test statistics, Minimum phi-divergence estimator, Symmetry, Marginal homogeneity, Quasi-symmetry, Two-way contingency tables
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:17649
Deposited On:15 Jan 2013 09:47
Last Modified:15 Jan 2013 09:47

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