Pardo Llorente, LeandroPardo Llorente, María del Carmen2023-06-202023-06-2020030094-965510.1080/0094965031000097782https://hdl.handle.net/20.500.14352/57823Cressie 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.journal articlehttp://www.tandfonline.com/doi/abs/10.1080/0094965031000097782http://www.tandfonline.com/metadata only access519.2contingency tablesloglinear modelsordinary minimum power-divergence estimatorpenalized minimum power-divergence estimatorphi-divergence measuredistancemodelsEstadística matemática (Matemáticas)1209 Estadística