Answered: One of the primary advantages of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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One of the primary advantages of a repeated-measures design, compared to an independent-measures design, is that it reduces the overall variability by removing variance caused by individual differences. The following data are from a research study comparing three treatment conditions.

Treatments

Person	I	II	III	Totals
A	6	8	10	P = 24
B	5	5	5	P = 15
C	1	2	3	P = 6
D	0	1	2	P = 3
	M = 3	M = 4	M = 5	N = 12
	T = 12	T = 16	T = 20	G = 48
	SS = 26	SS = 30	SS = 38	∑X² = 294

A. Now assume that the data are from a repeated-measures study using the same sample of n = 4 participants in all three treatment conditions. Use a repeated-measures ANOVA with α = .05 to test the significance of the mean differences.

Source	SS	df	MS	F
Between treatments
Within treatments
Between subjects
Error
Total

B. F critical =

C. Explain why the two analyses lead to different conclusions.

The repeated-measures ANOVA ___ the error variance by removing individual differences. This ___ the likelihood that the

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