If a two-factor study has two levels of factor A and three levels of factor B, then
df_{bet.treatments}= 5.

Question

If a two-factor study has two levels of factor A and three levels of factor B, then df_{bet.treatments}= 5.

Quizplus · Accepted Answer

In a two-factor study, the degrees of freedom for between treatments is calculated as (levels of factor A - 1) * (levels of factor B - 1). Here, (2-1)*(3-1) = 1*2 = 2. However, the correct formula for df between treatments is (levels of factor A * levels of factor B) - 1, which is (2*3) - 1 = 5.

If a Two-Factor Study Has Two Levels of Factor a and Three