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The SAGE Encyclopedia of Social Science Research Methods

Michael S. Lewis-Beck & Alan Bryman & Tim Futing Liao

Pub. date: 2004 | DOI:

Print ISBN: 9780761923633 | Online ISBN: 9781412950589

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Encyclopedia Entry

ScheffÉ's Test

Duncan Cramer

Henry Scheffé (1953) developed this test to determine which means or combination of means differed significantly from which other means or combination of means in an analysis of variance (in which the scores of the groups are unrelated) when the overall F ratio for those means in that analysis was significant and when such differences had not been predicted prior to the analysis. This type of test is more generally known as a post hoc or a posteriori test , or a multiple comparison test. It takes into account the fact that a significant difference is more likely to occur by chance the more comparisons that are made. It is suitable for groups of unequal size. Compared to ...

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