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Scheffé's More Powerful F-Protected Post Hoc Procedure
Alan J. Klockars and Gregory R. Hancock
Journal of Educational and Behavioral Statistics
Vol. 25, No. 1 (Spring, 2000), pp. 13-19
Stable URL: http://www.jstor.org/stable/1165310
Page Count: 7
You can always find the topics here!Topics: Null hypothesis, Post hoc, Mathematical vectors, Critical values, False positive errors, Sample mean, Error rates, Educational statistics, Degrees of freedom, Logical givens
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In 1970 Henry Scheffé proposed a more powerful version of his well known post hoc multiple comparison procedure, only to fail to recommend it by the paper's end. The point of the current paper is to bring this simple modification to a wider audience, complete with an original derivation, in hopes that the method will be embraced by researchers despite its creator's hesitations. Specifically, whereas Scheffé's original (1953) procedure advocates testing any exploratory post hoc contrast or comparison using a critical value assuming k - 1 between-group degrees of freedom, Scheffé's later modification (1970) will be demonstrated here showing that a more liberal critical value assuming k - 2 between-group degrees of freedom may be used if an omnibus null hypothesis across all means has been rejected.
Journal of Educational and Behavioral Statistics © 2000 American Educational Research Association