DEFINITION of 'Scheffe's Test'
A statistical test that is used to make unplanned comparisons, rather than preplanned comparisons, among group means in an analysis of variance (ANOVA) experiment. While Scheffe's test has the advantage of giving the experimenter the flexibility to test any comparisons that appear interesting, the drawback of this flexibility is that the test has very low statistical power.
INVESTOPEDIA EXPLAINS 'Scheffe's Test'
While preplanned comparisons can be made using tests such as ttests or Ftests, these tests are not suitable for post hoc or unplanned comparisons. For such comparisons, multiple comparison tests such as Scheffe's test, the TukeyKramer method, or the Bonferroni test are appropriate. The Scheffe test is named after American statistician Henry Scheffe.
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