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In this paper sequential procedures are given for selecting the normal population with the greatest mean when (a) the k populations have a common known variance or (b) the k populations have a common but unknown variance, so that in each case the probability of making the correct selection exceeds a specified value when the greatest mean exceeds all other means by at least a specified amount. The procedures in the present paper all have the property that inferior populations can be eliminated from further consideration as the experiment proceeds.
Edward Paulson (Sun,) studied this question.