Abstract:We consider a class of statistics C based on -divergence for the test of independence in r × s contingency tables. The class of statistics C includes the statistics R a based on the power divergence as a special case. Statistic R 0 is the log likelihood ratio statistic and R 1 is Pearson's X 2 statistic. Statistic R 2/3 corresponds to the statistic recommended by Cressie and Read [Multinomial goodness-of-fit tests, J. Roy. Statist. Soc. B 46 (1984) 440-464] for the goodness-of-fit test. All members of statist… Show more
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