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Power-Divergence Test Statistics for Testing Linear by Linear Association
Authors:Aylin Alin
Institution:1. Istatistik Bolumu , Dokuz Eylul Universitesi , Izmir , Turkey aylin.alin@deu.edu.tr
Abstract:Power-divergence test statistics have been considered to test linear by linear association for two-way contingency tables. These test statistics have been compared based on designed simulation study and asymptotic results for 2 × 2, 2 × 3, and 3 × 3 tables. According to the results, there are test statistics with better properties than the well-known likelihood ratio test statistic for small and moderate samples.
Keywords:Contingency table  Log-linear models  Ordinal categorical data  Power-divergence measure
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