a. 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

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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  
2 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 27 17 18 28 32 Group 2 10 271 27.1 3.2111111
6 36 27 17 17 24 32 Group 3 10 143 14.3 13.788889
7 35 27 19 20 26 30 Group 4 10 216 21.6 14.044444
8 38 28 10 23 27 31 Group 5 10 249 24.9 10.1
9 37 25 10 16 25 32 Group 6 10 314 31.4 1.6
10 30 25 18 24 30 34  
  ANOVA
Source of Variation SS 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 3204.1833 59        

Significant


At least 2 of the groups differ significantly in their scores.

 
 

ANSWER THE FOLLOWING PROBLEM WITH THE GIVEN REFERENCE ABOVE.

PROBLEM 1:

a. 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
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