Total sum of square is a statistical method which evaluates the sum of the squared difference between the actual X and the mean of X, from the overall mean.
If the statistical data are 1,2,3,4,5 then calculate the total sum of square
Statistical Data = 1,2,3,4,5
Total Sum of Square TSS or SST
Statistical Data = 1,2,3,4,5
Total data = 5
Let us first calculate the value of Statistical Mean,
| Statistical Mean (X̄) | = (1 + 2 + 3 + 4 + 5) / 5 |
| = 3 |
Let us now calculate the Total sum of square value.
Total Sum of Square TSS or SST = Σ (Xi - X̄)
| Total Sum of Square | = (1-3)2 + (2-3)2 + (3-3)2 + (4-3)2 + (5-3)2 |
| = (-2)2 + (-1)2 + (0)2 + (1)2 + (2)2 | |
| = 4 + 1 + 0 + 1 + 4 | |
| = 10 |
Total Sum of Square (TSS or SST) is 10.
