Is there a significant difference among the scores of the different groups?   Group 1 Group 2 Group 3 Group 4 Group 5 Group 6 1 30 25 18 24 30 34 2 36 30 17 26 22 30 3 33 26 10 26 20 31 4 39 26 14 25 21 30 5 34 27 17 18 28 32 6 36 27 17 17 24 32 7 35 27 19 20 26 30 8 38 28 10 23 27 31 9 37 25 10 16 25 32 10 30 25 18 24 30 34 11 36 27 17 17 24 32

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Is there a significant difference among the scores of the different groups?

  Group 1 Group 2 Group 3 Group 4 Group 5 Group 6
1 30 25 18 24 30 34
2 36 30 17 26 22 30
3 33 26 10 26 20 31
4 39 26 14 25 21 30
5 34 27 17 18 28 32
6 36 27 17 17 24 32
7 35 27 19 20 26 30
8 38 28 10 23 27 31
9 37 25 10 16 25 32
10 30 25 18 24 30 34
11 36 27 17 17 24 32

 

ANOVA - Analysis of Variance
Is there a significant difference among the scores of the different groups.
Group 1
Group 2
Group 3
Group 4
Group 5 Group 6
Anova: Single Factor
1
36
30
11
21
26
32
36
30
17
26
22
30
SUMMARY
3
33
26
10
26
20
31
Groups
Count
Sum
Average
Variance
4
39
26
14
25
21
30
Group 1
10
354
35.4 6.7111111
5
34
Group 2
Group 3
27
17
18
28
32
10
271
27.1 3.2111111
36
27
17
17
24
32
10
143
14.3 13.788889
7
Group 4
Group 5
Group 6
35
27
19
20
26
30
10
216
21.6 14.044444
8.
38
28
10
23
27
31
10
249
24.9
10.1
37
25
10
16
25
32
10
314
31.4
1.6
10
30
25
18
24
30
34
ANOVA
Source of Variation
df
MS
F
P-value
F crit
Between Groups
2759.0833
5 551.81667 66.946978 6.504E-22 2.3860699
Within Groups
445.1
54 8.2425926
Total
Significant
At least 2 of the groups differ sifnificantly in their scores.
3204.1833
59
Transcribed Image Text:ANOVA - Analysis of Variance Is there a significant difference among the scores of the different groups. Group 1 Group 2 Group 3 Group 4 Group 5 Group 6 Anova: Single Factor 1 36 30 11 21 26 32 36 30 17 26 22 30 SUMMARY 3 33 26 10 26 20 31 Groups Count Sum Average Variance 4 39 26 14 25 21 30 Group 1 10 354 35.4 6.7111111 5 34 Group 2 Group 3 27 17 18 28 32 10 271 27.1 3.2111111 36 27 17 17 24 32 10 143 14.3 13.788889 7 Group 4 Group 5 Group 6 35 27 19 20 26 30 10 216 21.6 14.044444 8. 38 28 10 23 27 31 10 249 24.9 10.1 37 25 10 16 25 32 10 314 31.4 1.6 10 30 25 18 24 30 34 ANOVA Source of Variation df MS F P-value F crit Between Groups 2759.0833 5 551.81667 66.946978 6.504E-22 2.3860699 Within Groups 445.1 54 8.2425926 Total Significant At least 2 of the groups differ sifnificantly in their scores. 3204.1833 59
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