In a 5 $\times$ 2 $\times$ 3 factorial experiment (between subjects),there are ____ independent groups.
A) 0
B) 5
C) 10
D) 20
E) 30

Question

Quizplus · Accepted Answer

In a factorial experiment, the number of independent groups is determined by multiplying the levels of each factor. Here, we have 5 factors (F1, F1, F1, S1, and F10) with levels 1, 1, 1, 1, and 10 respectively. Multiplying these levels (1*1*1*1*10), we get 10 groups. However, since it's a between-subjects design, each combination of factors constitutes a separate group, leading to a total of 10*3 (for the three separate factorial experiments mentioned) = 30 independent groups.

In a 5 ×\times× 2 ×\times× 3 Factorial Experiment (Between Subjects),there Are ____ Independent Groups

In a 5 $\times$ 2 $\times$ 3 Factorial Experiment (Between Subjects),there Are ____ Independent Groups