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A Two-Stage Procedure for Selecting the Best of Several Binomial Populations

Center for the Study of Evaluation University of California at Los Angeles

In many situations in education and psychology it is desired to select from k binomial populations the one having the largest probability of success. For example, if a pass/fail type of test is administered at the end of an instructional program and if we have several methods of instruction from which to choose, it is desirable to choose the one which maximizes the probability of passing the test. This paper describes a two-stage procedure for accomplishing this goal. The solution is conservative in the sense that it is possible to determine the number of observations required so that the best population is chosen with probability at least P*, 2^-k < P* < 1.

Educational and Psychological Measurement, Vol. 39, No. 4, 715-724 (1979)
DOI: 10.1177/001316447903900403


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