Difference testing methods are extensively used in a variety of applications from small sensory evaluation tests to large scale consumer tests. A central issue in the use of these tests is their statistical power, or the probability that if a specified difference exists it will be demonstrated as a significant difference in a difference test. A general equation for the power of any discrimination method is given. A general equation for the sample size required to meet Type I and Type II error specifications is also given. Sample size tables for the 2‐alternative forced choice (2‐AFC), 3‐AFC, the duo‐trio and the triangular methods are given. Tables of the psychometric functions for the 2‐AFC, 3‐AFC, triangular and duo‐trio methods are also given.
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Daniel M. Ennis (1993) studied this question.
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