Given that main effect A has a levels main effect B has b le

Given that main effect A has a levels, main effect B has b levels, and n is the sample size of each treatment, and N is the total sample size, the degree of freedom associated with SSAB is ___ in the in-depth analysis.

Solution

SSAB = SSTR ? SSA ? SSB

But, The degrees of freedom associated with SSAB are the remainder:

The degrees of freedom associated with the sums of squares SSA, SSB, SSAB, and SSE are

(a ? 1), (b ? 1), (a ? 1)(b ? 1) and ab(n ? 1), respectively.