Tests of Within-Subjects Effects
Measure: MEASURE_1

-In the above analysis the sums of squares are all the same no matter which sphericity correction is applied. This means?
A) The data across all levels are uncorrelated.
B) The data across all levels are correlated.
C) The distributions across the levels forms a sphere.
D) Not enough information.

Question

Tests of Within-Subjects Effects
Measure: MEASURE_1
 
-In the above analysis the sums of squares are all the same no matter which sphericity correction is applied. This means?
A) The data across all levels are uncorrelated. 
B) The data across all levels are correlated. 
C) The distributions across the levels forms a sphere. 
D) Not enough information.

Quizplus · Accepted Answer

The sums of squares remaining the same regardless of the sphericity correction implies that the data across all levels are uncorrelated. Sphericity corrections are applied to adjust for violations of the sphericity assumption in repeated measures ANOVA, which assumes equal variances of the differences between all combinations of related groups. If the sums of squares do not change with these corrections, it suggests that the assumption of sphericity is not violated, indicating no correlation among the repeated measures.