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 |