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Convergence rates and powers of six power-divergence statistics for testing independence in 2 by 2 contingency table |
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| Authors: | Chu-In Charles Lee Shi-Yun Shen |
| Institution: | 1. Department of Mathematics and Statistics , Memorial University of Newfoundland , Newfoundland, St. John's, AIC 5S7, Canada;2. Department of Preventive Medicine and Biostatistics , University of Toronto , Toronto, Ontario, M5S 1A8, Canada |
| Abstract: | Several tests for testing independence of 2 by 2 contingency tables have been proposed over the years. Cressie and Read (1984) identified several of these tests as members of a power-divergence family, and much of the characteristics for these tests are unified. However, the question of which test is best is still not fully understood. This paper provides algorithms for chi-square estimates and investigates the convergence rates and powers of these chi-square tests. |
| Keywords: | convergence rate power power-divergence family independence minimun power-divergence estimate asymptotic distribution non-central chi-square distribution |