Size and Power of Tests for Equality of Means of Two Normal Populations with Unequal Variances

Abstract
A method is developed for obtaining the size and power of a wide class of tests which includes solutions to the Behrens-Fisher problem proposed by various authors. A new test in this class is also developed which controls the size effectively and has high power. A comparison is made with other known tests as regards control of size. The power of the proposed test as well as that of Welch-Aspin is also obtained.

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