The degrees of freedom for factor B is the number of ______.
A) cases for factor A
B) levels for factor A
C) levels minus one
D) cases for factor A minus one

Question

Quizplus · Accepted Answer

The degrees of freedom for factor B is equal to the number of levels for factor B minus one. This is because the total degrees of freedom for the entire model is equal to the total number of observations minus the number of parameters estimated. In a two-way ANOVA, the parameters estimated include the means for each level of factor A, the means for each level of factor B, the interaction effect between factors A and B, and the error term. The degrees of freedom for factor A is the number of levels for factor A minus one, and the degrees of freedom for the interaction effect is the product of the degrees of freedom for factors A and B (which is equal to the number of levels for factor A times the number of levels for factor B) minus one. Therefore, the only logical choice is C, which is the degrees of freedom for factor B is equal to the number of levels for factor B minus one.

The Degrees of Freedom for Factor B Is the Number