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
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.
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.
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 A | Timing | Musicality | Content | Technique | Team | Show | Raw Score | Position |
| couple 1 | 4 | 4 | 3 | 5 | 6 | 7 | 29 | 5 |
| couple 2 | 8 | 8 | 7 | 8 | 6 | 5 | 42 | 1 |
| couple 3 | 6 | 5 | 7 | 4 | 8 | 4 | 34 | 4 |
| couple 4 | 4 | 5 | 9 | 7 | 6 | 7 | 38 | 2 |
| couple 5 | 9 | 4 | 5 | 7 | 6 | 5 | 36 | 3 |
| couple 6 | 2 | 3 | 4 | 5 | 6 | 7 | 27 | 6 |
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 A | Judge B | Judge C | Judge D | Judge E | Judge F | Judge G | |
| couple 1 | 5 | 6 | 2 | 5 | 1 | 6 | 3 |
| couple 2 | 1 | 1 | 6 | 3 | 6 | 5 | 4 |
| couple 3 | 4 | 3 | 1 | 2 | 2 | 4 | 6 |
| couple 4 | 2 | 2 | 5 | 1 | 5 | 3 | 1 |
| couple 5 | 2 | 5 | 3 | 4 | 4 | 1 | 2 |
| couple 6 | 6 | 4 | 4 | 6 | 3 | 2 | 5 |
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 | |||||||
| 1st | 1st-2nd | 1st-3rd | 1st-4th | 1st-5th | 1st-6th | Final Position | |
| couple 1 | 1 | 2 | 3 | 3 | 4 | = | 6th |
| couple 2 | 2 | 2 | 3 | 4 (9) | = | = | 4th |
| couple 3 | 1 | 3 | 4 (8) | = | = | = | 2nd |
| couple 4 | 2 | 4 | = | = | = | = | 1st |
| couple 5 | 1 | 2 | 4 (9) | = | = | = | 3rd |
| couple 6 | = | 1 | 2 | 4 (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.
