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Comparison of tests for bivariate symmetry versus location and/or scale alternatives
Authors:James L Kepner  Ronald H Randies
Institution:1. Department of Mathematics and Computer Science St , Cloud State University St , Cloud, MN, 56301;2. Department of Statistics , University of Florida , Gainesville, FL, 32611
Abstract:This paper studies the performance of tests which use a null hypothesis of bivariate symmetry and detect the broad class of location and/or scale alternatives . The conditionally distribution-free tests of Sen (1967) and Hollander (1971) and parametric tests related to those of Bell and Haller (1969) are compared in a Monte Carlo study which also includes a new conditionally distribution-free test.
Keywords:bivariate symmetry  conditional test  location test  Monte Carlo  nonparametrie  paired data  scale testo
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