Answer:
The df values for the A x B interaction are also 3,40
Explanation:
The F-value for Factor A has df = 1, 40
The F-value for Factor B has df = 3, 40.
The df values for the A x B interaction are also 3,40
This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and the source of variation between rows has (r-1); rc(n-1) degrees of freedom and the source of variation of interaction
(between rows and columns) has ( c-1) ( r-1); rc(n-1) degrees of freedom.
Therefore
Factor A: ( c- 1); rc(n-1) = 1,40
Factor B: (r-1); rc(n-1) = 3,40
Interaction : ( c-1) ( r-1); rc(n-1) = 3*1,(40)= 3,40
where c refers to columns , r refers to rows and n refers to the total sample size.