A researcher uses an 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 which df values?
A)df = 2, 11
B)df = 2, 33
C)df = 2, 35
D)df = 2, 36

Question

A researcher uses an 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 which df values?​
A)​df = 2, 11
B)​df = 2, 33
C)​df = 2, 35
D)​df = 2, 36

Quizplus · Accepted Answer

The degrees of freedom for the numerator (between groups) is calculated as the number of groups minus one, which is 3 - 1 = 2. The degrees of freedom for the denominator (within groups) is calculated as the total number of observations minus the number of groups, which is (12*3) - 3 = 36 - 3 = 33. Therefore, the correct df values are 2 for between groups and 33 for within groups.

A Researcher Uses an Analysis of Variance to Test for Mean