An independent-measures research study compares three treatment conditions using a sample of n = 10 in each treatment.For this study,the three sample means are M₁ = 1,M₂ = 2,and M₃ = 3.For the ANOVA,what value would be obtained for $S S _ { \text {between } }$ ? A)2 B)10 C)20 D)30

Question

Quizplus · Accepted Answer

We first need to calculate the overall grand mean (M), which is (1+2+3)/3 = 2. Then we use the formula for SS between:

SS between = (n₁ * (M₁ - M)²) + (n₂ * (M₂ - M)²) + (n₃ * (M₃ - M)²)
SS between = (10 * (1 - 2)²) + (10 * (2 - 2)²) + (10 * (3 - 2)²)
SS between = 200

Therefore, the answer is C (20).

An Independent-Measures Research Study Compares Three Treatment Conditions Using a Sample