11. ANOVA Exercise A Exercise B Exercise C 1.6 7. 6.6 4.6 5. 1.4 6.7 8.2 5. 5.4 4.4 5.3 8. 7.02 3.5 4.4 3.18 5.22 Grand Mean 5.14 S 10.568 3.328 5.488 Calculate the Sum of Squares Between and Sum of Squares Within groups. A. SSB = 34.78 and SSw = 18.19 B. SSB = 40.99 and SSw = 19.38 C. SSB = 40.99 and SSw = 23.06 D. SSB = 36.91 and SSw = 23.06 E. SSR = 36.91 and SSw = 19.38 %3D %3D

MATLAB: An Introduction with Applications
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11. ANOVA
Exercise A
Exercise B
Exercise C
1.6
7.
6.6
4.6
5.
1.4
6.7
8.2
5.
5.4
4.4
5.3
8.
7.02
3.5
4.4
3.18
5.22
Grand Mean
5.14
S
10.568
3.328
5.488
Calculate the Sum of Squares Between and Sum of Squares Within groups.
A. SSB = 34.78 and SSw = 18.19
B. SSB = 40.99 and SSw = 19.38
C. SSB = 40.99 and SSw = 23.06
D. SSB = 36.91 and SSw = 23.06
E. SSR = 36.91 and SSw = 19.38
%3D
%3D
Transcribed Image Text:11. ANOVA Exercise A Exercise B Exercise C 1.6 7. 6.6 4.6 5. 1.4 6.7 8.2 5. 5.4 4.4 5.3 8. 7.02 3.5 4.4 3.18 5.22 Grand Mean 5.14 S 10.568 3.328 5.488 Calculate the Sum of Squares Between and Sum of Squares Within groups. A. SSB = 34.78 and SSw = 18.19 B. SSB = 40.99 and SSw = 19.38 C. SSB = 40.99 and SSw = 23.06 D. SSB = 36.91 and SSw = 23.06 E. SSR = 36.91 and SSw = 19.38 %3D %3D
Expert Solution
Step 1

Given Data :

  Exercise A Exercise B Exercise C
  1.6 4.6 7
  5 6.7 6.6
  1.4 5 8.2
  4.4 5.4 5.3
  3.5 4.4 8
       
Sum = 15.9 26.1 35.1
Average = 3.18 5.22 7.02
iXij2=\sum_i X_{ij}^2 = 61.13 139.57 251.89
St. Dev. = 1.625 0.912 1.171
SS = 10.568 3.328 5.488
n = 5 5 5

 

Now, calculating Means and Sum of squares :

i,jXij=15.9+26.1+35.1=77.1\sum_{i,j} X_{ij} = {15.9} + {26.1} + {35.1} = 77.1

i,jXij2=61.13+139.57+251.89=452.59\sum_{i,j} X_{ij}^2 = {61.13} + {139.57} + {251.89} = 452.59

 

 

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