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This paper investigates certain statistical problems arising in the determination of the ``best'' of k categories when comparing k - 1 experimental categories with a standard or control. The discussion is limited to the case of a single stage sampling procedure with an equal number of observations on each of the k categories. Results both of an exact and of an approximate nature are obtained when (a) the observations with each category are normally distributed, and (b) the observations with each category have a binomial distribution.
Edward Paulson (Sun,) studied this question.
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