Monotone Bounds on the Chi-Squared Approximation to the Distribution of Pearson's X Squared Statistics.
Technical research rept.,
VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF STATISTICS
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Monotone bounds, depending on the underlying multinomial probabilities and the sample size, are given for the chi-squared approximation to the distribution of Pearsons statistic for goodness of fit for simple hypotheses. These bounds apply to the distribution of a single statistic and to the joint distribution of two statistics associated with the margins of a two-way table, in both the central and noncentral cases.
- Statistics and Probability