Comparison of Ordinary and Penalized Power-Divergence Test Statistics for Small and Moderate Samples in Three-Way Contingency Tables via Simulation |
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| Authors: | Aylin Alin |
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| Institution: | 1. Dokuz Eylul Universitesi, Fen Edebiyat Fakultesi, Istatistik Bolumu , Izmir, Turkey aylin.alin@deu.edu.tr |
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| Abstract: | In this article, size and power properties of the ordinary and penalized power-divergence test statistics have been compared to test a nested sequence of log-linear models for various penalization and λ values. 2 × 2 × 2 contingency tables distributed according to a multinomial distribution are considered. The simulation study results reveal that the penalized power-divergence test statistics with penalization value of one and λ = ?1.5, ?2 are the best choices for small and moderate samples, respectively. |
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| Keywords: | Contingency table Log-linear models Penalization Penalized power-divergence measure Power-divergence measure |
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