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Least significant difference, Duncan's multiple range test, Student-Newman-Keuls, Tukey's significant difference, and Scheffe's significant difference procedures are compared. The criteria of comparison are Type I and Type II error probabilities. Type I error probabilities on 2-treatment and n-treatment bases are theoretically related. The theoretical error probabilities are compared to published observed error probabilities. The choice of a test procedure rests on the relative importance of Type I and Type II errors.
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D.R. Waldo (1976) studied this question.
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