An independent-measures research study compares three treatment conditions using a sample of n = 5 in each condition. For this study, the three samples have SS 1 = 10, SS 2 = 20, and SS 3 = 15. Which value would be obtained for MS within? a.MSwithin = 3.21 b.MSwithin = 5.00 c.MSwithin = 3.75 d.MSwithin = 3.33

Given data Samples (k) = 3 Sample size (N) = 5 SS1 = 10, SS2 = 20, SS3 = 15 Now from the given data we found SSE = SS1 + SS2 + SS3 (SSE indicates Sum of Squares) = 10 + 20 + 15 = 45 Let N1 = N2 = N3 = 5 because of simple size is given to all the 3 samples We know that dfSSE = (N1 + N2 + N3) – k = (5 + 5 + 5) – 3 = 15 – 3 = 12 To find mean with in sum of squares MSE = SSE/ dfSSE = 45/ 12 = 3.75 Therefore, the mean within sum of squares (MSEwithin) = 3.75

Answered: An independent-measures research study…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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An independent-measures research study compares three treatment conditions using a sample of n = 5 in each condition. For this study, the three samples have SS ₁ = 10, SS ₂ = 20, and SS ₃ = 15. Which value would be obtained for MS _within?

	a.	MS_within = 3.21
	b.	MS_within = 5.00
	c.	MS_within = 3.75
	d.	MS_within = 3.33

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