The sum of squares within from a one-way between-subjects analysis of variance is mathematically equal to the total of the sum of squares _____ and the sum of squares _____ from a one-way repeated measures analysis of variance applied to the same scores.
A)IV;error
B)subjects;IV
C)subjects;error
D)none of these

Question

Quizplus · Accepted Answer

The sum of squares within in a one-way between-subjects ANOVA is equivalent to the sum of squares error in a one-way repeated measures ANOVA because both designs use the same measure of variability within groups (i.e., the variance of individual scores around their group means). However, the sum of squares IV is not the same as the sum of squares within because the latter includes variability due to not only individual differences, but also to error or uncontrolled sources of variation within groups. Similarly, the sum of squares subjects is not equivalent to the sum of squares within in a repeated measures design because the former reflects the main effect of individual differences, while the latter reflects individual differences plus error.

The Sum of Squares Within from a One-Way Between-Subjects Analysis