2x2 between subject a1b1 4,5,5,6,8 a1b2 6,5,6,7,8 a2b1 15,13,13,12,14 a2b2 2,0,3,1,2 Indicate the results of each...

2x2 between subject a1b1 4,5,5,6,8 a1b2 6,5,6,7,8 a2b1 15,13,13,12,14 a2b2 2,0,3,1,2

Indicate the results of each of the F-tests (significant or not significant) and how it was that you decided (e.g., what comparison did you make to decide).

Expert Solution

data

	a1	a2
b1	4	15
	5	13
	5	13
	6	12
	8	14
b2	6	2
	5	0
	6	3
	7	1
	8	2

using excel

data -> data analysis -> anova two way with replication

Anova: Two-Factor With Replication

SUMMARY	a1	a2	Total
b1
Count	5	5	10
Sum	28	67	95
Average	5.6	13.4	9.5
Variance	2.3	1.3	18.5

b2
Count	5	5	10
Sum	32	8	40
Average	6.4	1.6	4
Variance	1.3	1.3	7.555556

Total
Count	10	10
Sum	60	75
Average	6	7.5
Variance	1.777777778	39.83333333


ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
B	151.25	1	151.25	97.58065	3.26E-08	4.493998
A	11.25	1	11.25	7.258065	0.015964	4.493998
Interaction	198.45	1	198.45	128.0323	4.8E-09	4.493998
Within	24.8	16	1.55

Total	385.75	19

F > F-critical values in all three factors (A, B and interaction )

hence all factors are significant

orchestra answered 2 years ago

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