4 Relative Placement

4 Relative Placement Method 

4.1 Rationale

The Relative Placement method of scoring assigns an equal numerical value to each Judge's raw scores. This means that each judge has an equal vote in the final outcome. If each judge's raw scores were used, a high scoring or generous Judge would have a greater influence over the eventual result than a low scoring or cautious judge. Also, a Judge who scored one couple very highly and gave all the others a low mark would influence the result unfairly and in an undemocratic way.

4.2 Scoring

For the finals the Judges may submit raw scores. The Scorer will convert them into ordinals (1st, 2nd, 3rd, etc) for Relative Placement. Judges may simply submit positions for each competitor, 1st, 2nd, 3rd, etc.

Duplicate placements are not permitted. If a Judge provides duplicate placements the Scorer will alert the Head Judge who will request that the Judge in question provide a unique placement for each couple.

4.3 Final Placement

Couples with the majority of Judges votes will be awarded a final placement. If no couple has a majority of votes the next placement is added to the previous placements. This is the number of judges placing couples 1st, then 1st and 2nd, then 1st, 2nd and 3rd, etc. until a majority is reached.
In the event of a tie a numerical value will be assigned to each place given by each judge. 1st place will receive one point, 2nd place 2 points etc. At the point where the competitors are drawn the scores will be added together. The lowest scoring competitors will be given the higher place.
As a final tie-break, if, two couples are tied in the number of judges placing them in that position and still tied when the scores are added, the couple placed highest by the Chief Judge will receive the higher place.  

An example of Relative Placement is given in Appendix 3 - below;

Appendix 3 - Example of Relative Placement

Firstly, the individual judges raw scores for each if the 'Judging Factors' are used to calculate for each judge who they placed 1st, 2nd, 3rd etc. The example below is for one individual judge.
JUDGE ATimingMusicalityContentTechniqueTeamShowRaw ScorePosition
couple 1443567295
couple 2887865421
couple 3657484344
couple 4459767382
couple 5945765363
couple 6234567276

These relative placements are then collated to produce the table below titled 'Judges Ranking of Competitors'. This table shows the position given to each couple by each judge.
Judge's Ranking of Competitors

Judge AJudge BJudge CJudge DJudge EJudge FJudge G
couple 15625163
couple 21163654
couple 34312246
couple 42251531
couple 52534412
couple 66446325
The 'Final Placement' Table below is then used to find the position for each couple. As there are 7 judges, each couple must receive at least 4 votes to be placed by the majority of judges.

Number of Judges Placing Competitor

1st1st-2nd1st-3rd1st-4th1st-5th1st-6thFinal Position
couple 112334=6th
couple 22234 (9)==4th
couple 3134 (8)===2nd
couple 424====1st
couple 5124 (9)===3rd
couple 6=124 (13)==5th

To find the 1st Placed couple looking at the example above, the first column does not show any couple receiving 1st place from any four judges. This means that we need to move on to look at those couples receiving 1st and 2nd places. Couple 4 has received 4 1st and 2nd places (2 x 1st and 2 x 2nd) and is therefore the overall winner.

To find the next placed couples we need to look at the total for couples judges placed 1st, 2nd and 3rd. In this case, both Couples 3 and 5 receive 4. Therefore it is necessary to add the ordinals (the numerical value) for each place and award the higher position to the lower scoring couple. In this example couple 4 has a score of 8 and is awarded 2nd place, the 3rd place given to couple 5 who scored 9.

To find the 4th place couple we need to consider the total for 1st, 2nd, 3rd and 4th. In this case couple 4 and couple 6 receive 4. As in the previous example, the ordinals are calculated and as couple 2 scores 9 points they are given 4th place with couple 6 scoring 13 points and being placed 5th. It might be argued that couple 2 should be placed higher as 2 judges put them in 1st place, however, it should also be noted that 4 judges (the majority of judges) placed couple 2 in 4th place or lower. Finally, 6th place is awarded to couple one as the only remaining couple.

N.B. In the unlikely event that the use of ordinals for two or more competitors still results in a draw the tie is broken by applying the relative positions given by the chief judge.