Try It Yourself Answer
Participants are listed in the first column and the judges are listed in the first row. This figure displays the Raw Scores for a third scenario. Try to figure out the results using the Condorcet Method described here.
Ranks
Consensus Ordinal Ranking Results
1st Place – TIE between School A and School B
3rd Place – School C
4th Place – School D
5th Place – School E
6th Place – School F
Condorcet Method Results
1st Place - School A with 5 wins
2nd Place – School B with 4 wins
3rd Place – School C with 3 wins
4th Place – School D with 2 wins
5th Place – School E with 1 win
6th Place – School F with 0 wins
Participants are listed in the first column and the first row. At each intersection of a row and a column, a “1” represents a win and a “0” represents a loss. For example, where the row for School A intersects with the column for School B there is a “1” indicating that School A won against School B. The last two columns correspond to the sum of all wins awarded to each participant (by row) and the final Place that they would receive. This type of chart is known as a Pairwise Matrix. This figure shows that if the results were calculated by the Condorcet Method, School A would win, even though the same number of judges have School A and School B in first place.
See the future blog post on when and how ties should be broken.