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 SS_between? A)2 B)10 C)20 D)30

Question

Quizplus · Accepted Answer

The formula for calculating the sum of squares between groups (SSB) is SSB = ∑n(X̄-Grand X̄)^2. In this case, we have three groups (treatment conditions) and a sample size of 10 in each group. The Grand X̄ is the mean of all the scores in the study, which is (1+2+3)/3 = 2. Using the formula, we get SSB = 10(1-2)^2 + 10(2-2)^2 + 10(3-2)^2 = 10(-1)^2 + 10(0)^2 + 10(1)^2 = 10 + 0 + 10 = 20. Therefore, the value obtained for SS_between would be 20.

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