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oai:docta.ucm.es:20.500.14352/502502023-08-27T06:46:30Zcom_20.500.14352_14col_20.500.14352_15

Tests for bivariate symmetry against ordered alternatives in square contingency tables Menéndez Calleja, María Luisa Pardo Llorente, Julio Ángel Pardo Llorente, Leandro Let X and Y denote two ordinal response variables, each having I levels. When subjects are classified on both variables, there are I-2 possible combinations of classifications. Let p(ij) = Pr(X = i, Y = j). This paper introduces a family of tests based on phi-divergence measures for testing H-0: p(ij) = p(ji) against H-1: p(ij) greater than or equal to p(ji) (i greater than or equal to j); and for testing H-1 against H-2: p(ij) unrestricted. A simulation study assesses some of the family of tests introduced in this paper in comparison to the likelihood ratio test. 2023-06-20T09:43:27Z 2023-06-20T09:43:27Z 2003-03 journal article 1369-1473 10.1111/1467-842X.00265 https://hdl.handle.net/20.500.14352/50250 http://onlinelibrary.wiley.com/doi/10.1111/1467-842X.00265/pdf http://onlinelibrary.wiley.com eng DGI BFM2000-0800 restricted access Blackwell