What question did this study set out to answer?

The aim is to determine a method that anticipates the outcome of the Wilcoxon two-sample test using sequential observations.

September 1, 1963

Early Decision in the Wilcoxon Two-Sample Test

Key Points

The aim is to determine a method that anticipates the outcome of the Wilcoxon two-sample test using sequential observations.
Calculate least upper and greatest lower bounds for subsequent values of the statistic as each observation is made.
Terminate experimentation based on whether the critical value is within the calculated bounds.
Focus on applying this procedure to ordered sequences of observations.
The proposed method considerably reduces the average sample size needed for the Wilcoxon two-sample test.

Abstract

Abstract If a fixed number of observations are made sequentially, the outcome of a statistical test based on the complete sample sometimes can be anticipated by employing the following procedure: As each observation is made calculate least upper and greatest lower bounds for any subsequent value of the statistic; if the critical value does not lie between these bounds then the outcome of the test is determined and experimentation is terminated. Use of this procedure in the case where the Wilcoxon two-sample test is applied to an ordered sequence of observations considerably reduces the average sample size.

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