comprankings
New member
- Joined
- Dec 14, 2015
- Messages
- 1
I administer a statistical ranking system that coverts scores at athletic competitions to rankings (1st, 2nd, 3rd, etc.) then assigns series points to the rankings so a champion can be crowned at the end of each season.
Comp Score = rank = series points
Highest Score = rank 1 = 30 points
2nd Highest Score = rank 2 = 26 points
3rd Highest Score = rank 3 = 22 points
4th Highest Score = rank 4 = 18 points
5th Highest Score = rank 5 = 14 points
6th Highest Score = rank 6 = 10 points
7th Highest Score = rank 7 = 6 points
8th Highest Score = rank 8 = 2 points
--------------------------------------------------
Total points awarded: 128
The problem is how to allocate rank and points in the case of tied scores? The committe that organizes the sporting events uses one method, I recommend they use another. The two methods produce different results at the end of the season, meaning they are not equal. My question is which option should be used, and why?
Option A
Comp Score = rank = series points
Highest Score = rank 1 = 30 points
2nd Highest Score = rank 2 = 26 points
2nd Highest Score = rank 2 = 26 points
2nd Highest Score = rank 2 = 26 points
3rd Highest Score = rank 5 = 14 points
4th Highest Score = rank 6 = 10 points
5th Highest Score = rank 7 = 6 points
6th Highest Score = rank 8 = 2 points
--------------------------------------------------
Total points awarded: 140
Option B
Comp Score = rank = series points
Highest Score = rank 1 = 30 points
2nd Highest Score = rank 2 = 22 points
2nd Highest Score = rank 2 = 22 points
2nd Highest Score = rank 2 = 22 points
3rd Highest Score = rank 5 = 14 points
4th Highest Score = rank 6 = 10 points
5th Highest Score = rank 7 = 6 points
6th Highest Score = rank 8 = 2 points
--------------------------------------------------
Total points awarded: 128
Comp Score = rank = series points
Highest Score = rank 1 = 30 points
2nd Highest Score = rank 2 = 26 points
3rd Highest Score = rank 3 = 22 points
4th Highest Score = rank 4 = 18 points
5th Highest Score = rank 5 = 14 points
6th Highest Score = rank 6 = 10 points
7th Highest Score = rank 7 = 6 points
8th Highest Score = rank 8 = 2 points
--------------------------------------------------
Total points awarded: 128
The problem is how to allocate rank and points in the case of tied scores? The committe that organizes the sporting events uses one method, I recommend they use another. The two methods produce different results at the end of the season, meaning they are not equal. My question is which option should be used, and why?
Option A
Comp Score = rank = series points
Highest Score = rank 1 = 30 points
2nd Highest Score = rank 2 = 26 points
2nd Highest Score = rank 2 = 26 points
2nd Highest Score = rank 2 = 26 points
3rd Highest Score = rank 5 = 14 points
4th Highest Score = rank 6 = 10 points
5th Highest Score = rank 7 = 6 points
6th Highest Score = rank 8 = 2 points
--------------------------------------------------
Total points awarded: 140
Option B
Comp Score = rank = series points
Highest Score = rank 1 = 30 points
2nd Highest Score = rank 2 = 22 points
2nd Highest Score = rank 2 = 22 points
2nd Highest Score = rank 2 = 22 points
3rd Highest Score = rank 5 = 14 points
4th Highest Score = rank 6 = 10 points
5th Highest Score = rank 7 = 6 points
6th Highest Score = rank 8 = 2 points
--------------------------------------------------
Total points awarded: 128