Question

1. The following data were obtained from a repeated- measures study comparing three treatment conditions. Conduct a hypothesis test to examine whether there was a significant treatment effect (alpha = .05, follow four-step procedure)

	Treatment
Participant	I	II	III	P
A	6	8	10	24	G = 48
B	5	5	5	15	ΣX2 = 294
C	1	2	3	6
D	0	1	2	3
	T = 12	T = 16	T = 20
	SS = 26	SS = 30	SS = 38

Answer 1

Anova: Two-Factor Without Replication
SUMMARY	Count	Sum	Average	Variance
A	3	24	8	4
B	3	15	5	0
C	3	6	2	1
D	3	3	1	1
I	4	12	3	8.666667
II	4	16	4	10
III	4	20	5	12.66667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
PARTICIPANTS	90	3	30	45	0.000166	4.757063
TREATMEANT	8	2	4	6	0.037037	5.143253
Error	4	6	0.666667
Total	102	11

F stat for treatments = 45

P VALUE FOR TREATMENTS =0.037

p value < 0.05,significant

there was a significant treatment effect

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