Ranking
Menu location: Data_Transforming and Deriving_Ranks.
This function ranks the workbook data you select and saves the rankings into a new workbook column labelled Rank: Name where Name is the column label of the original data. You can calculate a correction factor for ties in the ranking; five formulae are offered for tie correction:
- Σ(t^3 - t /12)
- Σ(t * (t-1)/2)
- Σ(t * (t-1) * (2t+5))
- Σ(t * (t-1) * (t-2))
- Σ(t * (t-1) * (t+1))
Here t is the number of data tied at each tie and upper case sigma Σ is the summation across these ties.
The use of tie corrections is a complex subject upon which learned statisticians sometimes disagree.
Example
Test workbook (Nonparametric worksheet: First Born).
Ranking the following agressivity scores for a sample of firstborn twins gives.
| First Born -----> | Rank: First Born |
| 86 | 8 |
| 71 | 3.5 |
| 77 | 6.5 |
| 68 | 1 |
| 91 | 11.5 |
| 72 | 5 |
| 77 | 6.5 |
| 91 | 11.5 |
| 70 | 2 |
| 71 | 3.5 |
| 88 | 10 |
| 87 | 9 |