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 factors in this design must have been
A) 1
B) 2
C) either 1 or 2
D) 6.

Question

Quizplus · Accepted Answer

The degrees of freedom for the interaction term (6) suggest a 2-factor design, as it results from the product of the degrees of freedom for each factor minus 1 (e.g., if there are 2 levels for factor A and 4 levels for factor B, then the degrees of freedom for the interaction would be (2-1)*(4-1) = 3, which fits a scenario with 2 factors).

Data Set 13-1: an F Value of 2