The F-ratio for an analysis of variance comparing three treatments with n = 10 in each treatment would have df = 2,29.

Question

Quizplus · Accepted Answer

The degrees of freedom for the F-ratio in an ANOVA are divided into two parts: df between (for the numerator) and df within (for the denominator). For three treatments, df between = k - 1 = 3 - 1 = 2, where k is the number of groups. For df within, it's N - k = 30 - 3 = 27, where N is the total number of observations. So, the correct df would be 2, 27, not 2, 29.

The F-Ratio for an Analysis of Variance Comparing Three Treatments