Imagine I ran a one-way repeated-measures ANOVA with five levels on the independent variable. The results revealed a Greenhouse-Geisser estimate, symbol = .977, and the Huynh-Feldt estimate, symbol = .999. What do these values tells us about the assumption of sphericity? (Hint: When the data are perfectly spherical, these estimates will be 1.) The assumption of sphericity is likely to have been met. The assumption of sphericity is likely to have been violated. We cannot tell anything about the assumption of sphericity from these values. We do not need to check the assumption of sphericity for a one-way repeated-measures ANOVA.