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Relationships among some chi-square goodness of fit statistics

Relationships among some chi-square goodness of fit statistics

Abstract Relationekips among the Rao-Robson, Dzhaparidze-Xikulin, and Pearson-Fisher chi-square goodness of fit statistics are estabiished. These statistics are also shown to be related to a atatistic which compares the msximum likelihood estimator baaed on the original observations with the maximum iikeirhood estimator based on the cell frequencies and a statistic …