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Use this tag for any *on-topic* question that (a) involves `R` either as a critical part of the question or expected answer, & (b) is not *just* about how to use `R`.

5 votes

How to get Sphericity in R for a nested within subject design?

Without being close to your data I can't offer specific model recommendations, but a place to start in R would be to replace aov in your model specifications with lme (after library(nlme)). … random argument set to ~ 1|<your grouping structure> and no correlation or weight arguments, you are specifying a random intercept for each group, implying the response covariance within groups is ZGZ' + R
Kingsford Jones's user avatar