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. The number of levels of one of the independent variables was
A) 9
B) 6
C) 4
D) 1.

Question

Quizplus · Accepted Answer

The degrees of freedom for the interaction term in a two-way ANOVA is calculated by multiplying the degrees of freedom of the two independent variables. Given that the degrees of freedom for the interaction term is 6, and knowing that degrees of freedom are calculated as the number of levels minus 1 for each variable, we can deduce that one of the variables must have 4 levels (since 3-1=2 for one variable and 4-1=3 for the other, and 2*3=6).

Data Set 13-1: an F Value of 2