Data Set 13-1: An F value of 2.75 was obtained when an interaction mean square was divided by a error mean square. The degrees of freedom were 6 and 18.
-Refer to Data Set 13-1. This could be an example of
A) a simple ANOVA
B) a 2 x 2 factorial ANOVA
C) a 2 x 3 factorial ANOVA
D) a 3 x 4 factorial ANOVA.

Question

Quizplus · Accepted Answer

The degrees of freedom for the interaction in a factorial ANOVA is calculated as (a-1)(b-1), where a and b are the levels of the two factors. For a 3 x 4 factorial design, (3-1)(4-1) = 6, which matches the given degrees of freedom for the interaction.

Data Set 13-1: an F Value of 2