In a 2 x 3 factorial design with five participants per cell, the df for the interaction F would be
A) 1, 28
B) 2, 24
C) 6, 30
D) 4, 20

Question

Quizplus · Accepted Answer

In a 2 x 3 factorial design, there are 2 levels for one factor and 3 levels for the other factor, resulting in 2-1=1 degree of freedom for the first factor, 3-1=2 degrees of freedom for the second factor, and 1*2=2 degrees of freedom for the interaction. With five participants per cell and 6 cells (2*3), there are a total of 30 participants. The degrees of freedom for the error term is calculated as the total number of participants minus the number of cells, which is 30 - 6 = 24. Therefore, the degrees of freedom for the interaction F are 2 (for the interaction) and 24 (for the error), making the correct answer 2, 24.

In a 2 X 3 Factorial Design with Five Participants