If the assumption of sphericity is satisfied,the Tukey HSD test cannot be used to discern the nature of the relationship in a one-way repeated measures analysis of variance.

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The Tukey HSD test can be used to discern the nature of the relationship in a one-way repeated measures ANOVA, regardless of whether the assumption of sphericity is met. However, if the assumption of sphericity is not met, the Greenhouse-Geisser or Huynh-Feldt correction should be applied to adjust the p-values.

If the Assumption of Sphericity Is Satisfied,the Tukey HSD Test