A researcher uses analysis of variance to test for mean differences among three treatments with a sample of n = 12 in each treatment.The F-ratio for this analysis would have what df values?
A)2, 11
B)2, 33
C)2, 35
D)2, 36

Question

Quizplus · Accepted Answer

The degrees of freedom for the F-ratio in an ANOVA are calculated as follows: for the numerator (between groups), it's the number of groups minus one, which is 3 - 1 = 2. For the denominator (within groups or error), it's the total number of observations minus the number of groups, which is 36 - 3 = 33. Hence, the df values are 2 and 33.

A Researcher Uses Analysis of Variance to Test for Mean