The results of a twofactor analysis of variance produce df13

The results of a two-factor analysis of variance produce df=(1,30) for the F- ratio for factor A, and df=(2,30) for the F-ratio for the AXB interaction. Based on this information, which of the following describes the experiment producing these F-ratios?

A. 1 level of factor A and 2 levels of factor B.?

B. 2 levels for both factors.?

C. 2 levels of factor A and 3 levels of factor B.?

D. cannot be determined without additional information.

Solution

It is C. 2 levels of factor A and 3 levels of factor B.