Tests for Bivariate Symmetry Against Ordered Alternatives in Square Contingency Tables |
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| Authors: | ML Menéndez JA Pardo & L Pardo |
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| Institution: | ETSAM Technical University of Madrid,;Complutense University of Madrid |
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| Abstract: | 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 pij = Pr (X = i, Y = j) . This paper introduces a family of tests based on φ –divergence measures for testing H0: pij = pji against H1: pij ≥ pji (I≥ j) ; and for testing H1 against H2: pij unrestricted. A simulation study assesses some of the family of tests introduced in this paper in comparison to the likelihood ratio test. |
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| Keywords: | chi–bar squared distribution contingency table φ–divergence measure |
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