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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