A factorial design has two levels of factor A and three levels of factor B with 6 participants in each condition.The F-ratio for factor B would have _____ degrees of freedom.
A)1,35
B)1,30
C)2,35
D)2,30

Question

Quizplus · Accepted Answer

The degrees of freedom for factor B in a factorial design is calculated as the number of levels of factor B minus 1. Since factor B has 3 levels, the degrees of freedom for factor B is 3 - 1 = 2. The total number of participants is 2 levels of A * 3 levels of B * 6 participants = 36. The degrees of freedom for the error term is the total number of observations minus the number of groups, which is 36 - 6 = 30. Therefore, the F-ratio for factor B would have 2, 30 degrees of freedom.

A Factorial Design Has Two Levels of Factor a and Three