An independentmeasures research study compares four treatmen

An independent-measures research study compares four treatment conditions using a sample of n = 8 in each treatment. For this study, the four samples have SS₁ = 20, SS₂ = 35, and SS₃ = 14, and SS₄=22. What value would be obtained for MS_within

Solution

Given data:

k=4, n_i = 8 for i=1,2,3,4 , SS₁ = 20 , SS₂ = 35 , SS₃ = 14 , SS₄ = 22, N = 8+8+8+8 = 32

SS_Within = SS₁ + SS₂ + SS₃ + SS₄

= 20 + 35 + 14 + 22

= 91

Degrees of freedom within = N - k = 32 - 4 = 28

MS_Within = SS_Within / (N-k)

= 91 / 28

MS_Within = 3.25