Relative Placement How - To
This document is to be used with
"The Relative Placement System of TNGSDC 10/94.”
The TNGSDC Relative Placement Tally System assumes
that all judge's scores are equal; one judge should not be able to
significantly alter the outcome of a contest.
At least five judges are required to use the relative
placement scoring system. Odd numbers of judges are better than even number of
judges to obtain majorities (5 out of seven is easier to resolve than four out
of six). A head judge is required to break tie scores. A judge may not give tie
(i.e., duplicate) scores between any two couples in the contest. For complete
details, please refer to "The Relative Placement System of TNGSDC
10/94."
1. Convert
all raw scores to ordinals. Look at each score for a given judge, and assign
places, giving the highest score first place, the second highest second place,
etc., until all places for all couples are assigned for each judge.
Raw Scores
Scores
|
|
Jdg 1
|
Jdg 2
|
Jdg 3
|
Jdg 4
|
Jdg 5
|
|
Couple 1
|
7.0
|
9.0
|
7.5
|
8.8
|
7.55
|
|
Couple 2
|
5.0
|
8.8
|
7.4
|
8.6
|
7.5
|
|
Couple
3
|
8.0
|
8.7
|
8.8
|
8.7
|
9.7
|
|
Couple
4
|
6.0
|
8.9
|
7.6
|
8.9
|
9.9
|
|
Couple
5
|
9.9
|
9.1
|
7.8
|
9.0
|
7.0
|
Step-by-step example: Judge I
|
Step 1
|
... 2
|
... 3
|
... 4
|
...5
|
|
9.9= 1
|
8.0 = 2
|
7.0 = 3
|
6.0 = 4
|
5.0 = 5
|
|
Jdg 1
|
Jdg 1
|
Jdg 1
|
Jdg 1
|
Jdg 1
|
|
7.0
|
7.0
|
3
|
3
|
3
|
|
5.0
|
5.0
|
5.0
|
5.0
|
5
|
|
8.0
|
2
|
2
|
2
|
2
|
|
6.0
|
6.0
|
6.0
|
4
|
4
|
Raw scores converted to ordinals
Scores
|
|
Jdg 1
|
Jdg 2
|
Jdg 3
|
Jdg 4
|
Jdg 5
|
|
Couple
1
|
3
|
2
|
4
|
3
|
3
|
|
Couple
2
|
5
|
4
|
5
|
5
|
4
|
|
Couple
3
|
2
|
5
|
1
|
4
|
2
|
|
Couple
4
|
4
|
3
|
3
|
2
|
1
|
|
Couple
5
|
1
|
1
|
2
|
1
|
5
|
2. Count all
first place votes for each couple, then first through second, etc., until a
majority for a place is reached. The tally columns to the right represent 1st
through 1st (1 >1), 1st through 2nd (1>2), etc. The example below places
couple 5 in first place since three out of five judges have them in first. Once
a couple has been awarded a place, you do not need to consider their scores to
place the remaining couples.
|
Scores
|
|
|
|
|
|
Places
|
|
|
|
|
|
|
|
Jdg
1
|
Jdg
2
|
Jdg
3
|
Jdg
4
|
Jdg
5
|
1>1
|
1>2
|
1>3
|
1>4
|
1>5
|
place
|
|
Couple
1
|
3
|
2
|
4
|
3
|
3
|
|
|
|
|
|
|
|
Couple
2
|
5
|
4
|
5
|
5
|
4
|
|
|
|
|
|
|
|
Couple
3
|
2
|
5
|
1
|
4
|
2
|
1
|
|
|
|
|
|
|
Couple
4
|
4
|
3
|
3
|
2
|
1
|
1
|
|
|
|
|
|
|
Couple
5
|
1
|
1
|
2
|
1
|
5
|
3
|
>
|
>
|
>
|
>
|
1st
|
3. Repeat for
all places, until you have ties in the number of votes. Below, second place is
awarded to couple 3 - they have a majority of votes (again, three out of five)
for second and above. Continuing on, counting the number of placements for
third and above, we find a tie between couple 4 and couple 1.
|
Scores
|
|
|
|
|
|
Places
|
|
|
|
|
|
|
|
Jdg
1
|
Jdg
2
|
Jdg
3
|
Jdg
4
|
Jdg
5
|
1>1
|
1>2
|
1>3
|
1>4
|
1>5
|
place
|
|
Couple
1
|
3
|
2
|
4
|
3
|
3
|
|
1
|
4
|
|
|
|
|
Couple
2
|
5
|
4
|
5
|
5
|
4
|
|
|
|
|
|