Define the total sum of square in single factor ANOVA.
A realtor needs to compare the average sales-to-appraisal ratios of residential properties sold in four neighbourhoods (A, B, C, and D). Four properties are arbitrarily selected from each neighbourhood and the ratios recorded for each as follows:
|
A
|
B
|
C
|
D
|
|
1.2
|
2.5
|
1.0
|
0.8
|
|
1.1
|
2.1
|
1.5
|
1.3
|
|
0.9
|
1.9
|
1.1
|
1.1
|
|
0.4
|
1.6
|
1.3
|
0.7
|
The ANOVA summary (partial results) is as follows:
|
SUMMARY
|
|
Groups
|
Count
|
Sum
|
Average
|
Variance
|
|
A
|
4
|
3.6
|
0.900
|
0.127
|
|
B
|
4
|
8.1
|
2.025
|
0.142
|
|
C
|
4
|
4.9
|
1.225
|
0.049
|
|
D
|
4
|
3.9
|
0.975
|
0.076
|
|
ANOVA
|
|
Source of Variation
|
SS
|
df
|
MS
|
P-value
|
F crit
|
|
Between Groups
|
3.182
|
3
|
1.061
|
0.001
|
3.490
|
|
Within Groups
|
1.183
|
12
|
0.099
|
|
|
What is the entire sum of squares?
(Finish the ANOVA table prior to answering.)
1) 3.182
2) 1.183
3) 4.365
4) None of the above