The Scheffé test is one of the oldest multiple comparison procedures in use today. It is important to recognize that it is a frequently misused procedure and that it is also a valuable test when used as Henry Scheffé intended it. Unlike competitors such as Tukey's Honestly Significant Difference test, the Scheffé test is specifically designed for the situation in which post hoc comparisons involve more than pairwise differences. For example, it could be used to compare the mean of two groups to the mean of two other groups on the basis of interesting differences that appeared after the data had been collected.

This entry begins by describing the background and development of the Scheffé test. Next, this entry details the test statistic, its role in ...

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