Calculate the F* ratio and write the complete ANOVA table for this data set. do by...

Calculate the F* ratio and write the complete ANOVA table for this data set. do by hand, show work

Red:  9, 11, 10, 9, 15
Green: 20, 21, 23, 17, 30
Black: 6, 5, 8, 14, 7

Expert Solution

The following table is obtained:

	Group 1	Group 2	Group 3
	9	20	6
	11	21	5
	10	23	8
	9	17	14
	15	30	7

Sum =	54	111	40
Average =	10.8	22.2	8
\sum_i X_{ij}^2 =∑iXij2=	608	2559	370
St. Dev. =	2.49	4.868	3.536
SS =	24.8	94.8	50
n =	5	5	5

Anova: Single Factor

SUMMARY
Groups	Count	Sum	Average	Variance
Column 1	5	54	10.8	6.2
Column 2	5	111	22.2	23.7
Column 3	5	40	8	12.5


ANOVA
Source of Variation	SS	df	MS	F	P-value
Between Groups	565.7333	2	282.8667	20.01415	0.000151
Within Groups	169.6	12	14.13333

Total	735.3333	14

orchestra answered 2 years ago

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