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. — 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… — 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.

Garrett Breeze is a media composer and arranger living in Nashville, TN. Over the last ten years, he has worked with more than 250 competitive show choirs throughout the United States, amassing a catalog of more than 900 arrangements. He is a sought-after clinician and adjudicator for show bands, and has previously been combo director for North Central High School “Descants” and Belmont University “Company.” For more information, visit his website at http://breezetunes.com.