A factorial design has two levels of factor A and three levels of factor B with six 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 one. Since factor B has three levels, the degrees of freedom is 3 - 1 = 2. The total degrees of freedom is calculated as the total number of observations minus the number of groups, which is (2 levels of A * 3 levels of B * 6 participants) - (2 * 3) = 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