The chance score on the Three-decision Multiple-choice Test was determined theoretically. The theoretical predictions were then tested empirically by using a table of random numbers to answer 100 sets of 20 multiple-choice questions like a three-decision multiple-choice test would be answered. The results indicated that the average chance score on the Three-decision Multiple-choice Test is over two times as large as the average chance score on the traditional five-alternative multiple-choice test.
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References
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Rand Corporation.A million random digits with 100,000 normal deviates. Glencoe, Ill.: Free Press, 1955.
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WilleyC. F.The Three-decision Multiple-choice Test: a method of increasing the sensitivity of the multiple-choice item. Psychol. Rep., 1960, 7, 475–477.