For a research study with 2 levels of factor A,3 levels of factor B,and n = 5 in each treatment condition,what are the df values for the F-ratio evaluating the main effect for factor A?
A)1, 4
B)1, 24
C)1, 29
D)2, 29

Question

Quizplus · Accepted Answer

The degrees of freedom for the main effect of factor A is 1 (since there are 2 levels of factor A, df = 2 - 1 = 1). The error term's degrees of freedom is calculated by the total number of observations minus the number of treatment conditions. With 2 levels of A, 3 levels of B, and 5 observations per treatment, there are 2*3*5 = 30 total observations and 2*3 = 6 treatment conditions. Thus, df for the error term is 30 - 6 = 24.

For a Research Study with 2 Levels of Factor A,3