Question

Given a 3 by 4 between-subjects factorial MANOVA (e.g.: Factor A has 3 levels; Factor B has 4 levels) with a dependent construct comprised of 4 variables, the number of hypothesis (numerator) degrees of freedom for the INTERACTION effect is?

Answer 1

The number of hypothesis degrees of freedom for the interaction effect in a 3 by 4 between-subjects factorial MANOVA is 6.

Step-by-step explanation:

To calculate the number of hypothesis degrees of freedom for the interaction effect in a 3 by 4 between-subjects factorial MANOVA with a dependent construct comprised of 4 variables, the formula for the interaction effect's degrees of freedom is:

(Levels of Factor A - 1) × (Levels of Factor B - 1)

In this case, Factor A has 3 levels, and Factor B has 4 levels, so the interaction degrees of freedom is:

(3 - 1) × (4 - 1) = 2 × 3 = 6 degrees of freedom for the interaction effect's numerator.