The df values for the A x B interaction are also 4, 36.
According to the question
The F-value for Factor A has df = 2, 36
The F-value for Factor B has df = 2, 36
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) = 2, 36
Factor B: (r-1); rc(n-1) = 2, 36
Interaction : ( c-1) ( r-1); rc(n-1) = 2*2, (36)= 4, 36
where c refers to columns , r refers to rows and n refers to the total sample size.
The df values for the A x B interaction are also 4, 36.
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