The validity of the F test for one-way repeated measures analysis of variance is based on the assumption that the variance of the population difference scores for any two conditions is the same as the variance of the population difference scores for any other two conditions.

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The F test for one-way repeated measures analysis of variance assumes that the variances of the differences between all pairs of conditions are equal. This is called sphericity. If this assumption is not met, adjustments to the degrees of freedom and/or corrections to the F test may be necessary.

The Validity of the F Test for One-Way Repeated Measures