Question

Given the results for each level of the factor in Data Set G , using ANOVA, what is the value of the mean square for the residual?

Level 1	Level 2	Level 3	Level 4	Level 5	Level 6
77.2	110.9	83.5	68.8	95.5	86.4
86.9	45.4	68.2	106.7	69.2	31.4
106.4	45.8	90.2	90.8	34.7	52
45.5	114.2	54.8	109.4		76.5
104.7	109.4	102.5	128.3		58.2
42	30.6	104.8	115.7		106.8
84.5	90.9	41.9	98.4		41.9
67.8	39.6	112.6	102.2		102.3
22.3	52.6	57.7	66.3		47.6
57	100.5	76.9	79		114.7
90.8	92.2	104			46.5
65	70.6	99.4			126
39.3	71.8				107.8
47.1	47.4				126.6
115.4	51.3				116.3
83.1	108.4				51
57.9	75.4				104.9
	61.9

Answer 1

Answer: The value of the mean square for the residual is 751.8015

Using excel<data<data analysis<one way anova test

One factor ANOVA
	Mean	n	Std. Dev
	70.17	17	26.473	Level 1
	73.27	18	27.917	Level 2
	83.04	12	23.109	Level 3
	96.56	10	20.288	Level 4
	66.47	3	30.492	Level 5
	82.17	17	33.050	Level 6
	78.83	77	27.913	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	5,835.406	5	1,167.0811	1.55	.1848
Error	53,377.907	71	751.8015
Total	59,213.312	76