Discuss the sphericity test. What needs to be done if the sphericity test is significant?
What will be an ideal response?
Ans: Answers vary
Sphericity is an assumption of the repeated measures test. The assumption is that pairs of scores in the population have similar variability. If the sphericity test is significant in the repeated measures output, the F statistic needs to be adjusted in order to retain accuracy of the test. Thus, the “Tests of Within-Subjects Effects” box contains a few different corrections below the “Sphericity Assumed” row. The sphericity-assumed values can be used if the sphericity test is not significant. However, if the sphericity test is significant, a correction should be used because violations of this assumption can increase the chance of a Type I error (Keppel & Wickens, 2004). A common correction used in psychological research is the Greenhouse-Geisser correction.
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