Suppose a 2 × 2 between-subjects design had 11 participants randomly assigned to each cell. The df for SSTotal are equal to and the df for SSError are equal to for the analysis of variance of this design.
A)43; 40
B)40; 43
C)44; 43
D)45; 44

Question

Quizplus · Accepted Answer

43; 40In a 2 × 2 between-subjects design with 11 participants in each cell, there are a total of 4 cells (2 conditions in one factor × 2 conditions in the other factor). With 11 participants per cell, the total number of participants is 4 × 11 = 44. Degrees of freedom for SSTotal (dfTotal) are calculated as the total number of observations minus 1, which is 44 - 1 = 43. Degrees of freedom for SSError (dfError) are calculated as the total number of observations minus the number of groups, which is 44 - 4 = 40.

Suppose a 2 × 2 Between-Subjects Design Had 11 Participants