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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Question

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. Assume that the data are from an independent-measures study using three separate samples, each with n = 4 participants. Ignore the column of P totals and use an independent-measures ANOVA with α = .05 to test the significance of the mean differences. (Use three decimal places where needed.)

B. What is the value of Fcriticalcritical? (Use three decimal places.)

C. Conclusion: Reject or Fail to reject the null hypothesis, why?

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

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