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OCR: Multivariate Tests: Sphericity Test The sphericity test, performed when the univariate tests option is on, checks the appropriateness of an unadjusted univariate test for the within-subject effects uses the Mauchly criterion test the assumption that the type covariances satisfy the Huynh-Felc condition The sphericity test and the univariate tests are always done on orthonormalized components You can interpret the Sphericity Test table as follows |f the chi- -square is not significant then you can assume the data satisfy the Huynh and Feldt condition and the standard F statistic f the within-subject effects acceptable the chi square signifi icant then the errors are confirmed to be nonspherical. The Mauchly criterion is rejected and the F test with the G-G (Greenhouse- Geisser) or H-F (Huy ...