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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-June-16  23:52

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 20    

Question (number 2) title:

     How well can these male dancers dance?    

The following choices are tied as the most preferred and most representative:

    (tie) Benji

    (tie) Travis

About ties: The presence of a tie among choices indicates that the number of voters who express a preference one way exactly equal the number of voters who express the opposite preference. If a tie occurs, look at the numbers in the tally table (below) to confirm this exact balance.

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First -most popular
is a tie among these choices		 Benji Ranking score is 40 for Benji
Travis Ranking score is 28 for Travis
Second -most popular Jason Ranking score is 25 for Jason
Third -most popular
is a tie among these choices		 Dimitri Ranking score is 18 for Dimitri
Stanislav Ranking score is 18 for Stanislav
Fourth -most popular
is a tie among these choices		 Ben Ranking score is 7 for Ben
Jaymz Ranking score is 9 for Jaymz
Musa Ranking score is 6 for Musa
Fifth -most popular
is a tie among these choices		 Ivan Ranking score is 0 for Ivan
Ryan Ranking score is 0 for Ryan

VoteFair representation Ranking

  
First-most representative choice
is a tie among these choices:		 Benji
Travis

Additional levels of representation
cannot be determined until the above tie
has been resolved, which can be done
by introducing a tie-breaking vote.

VoteFair representation ranking results should be used when more than one choice is to be selected. Why? When there are 100 voters, 51 of them can choose the first winner, so the other 49 voters deserve extra influence in choosing the second winner (instead of letting the 51 voters also choose the second winner). When should representation results be used? When a second candidate is elected to a second equivalent seat on a board of directors, or when an organization pursues a simultaneous second activity in addition to the most popular activity.

Comparison of VoteFair Ranking with other voting methods

  
Voting method Winner
VoteFair Tie between:
    Benji
    Travis
Instant runoff A winner cannot be identified because, in one of the rounds of voting, there is a tie among the choices with the fewest votes
(The runoff steps did not involve a single choice being eliminated in the first round.)
Majority None of the choices has won a majority ( more than half ) the votes.

(4 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Travis

(4 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Benji
Borda count Benji

(8 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Travis 3 38
Jaymz 1 13
Jason 1 13
Dimitri 1 13
Benji 1 13
Ben 1 13
Stanislav 0 0
Ryan 0 0
Musa 0 0
Ivan 0 0
(4 ballots ignored in plurality counting because they rank more than one choice as the most-preferred choice.)

Notice that the choice with the most plurality votes is not necessarily the most popular. Similarly the choice with the fewest plurality votes is not necessarily the least popular.

Data and Calculation Summary
Number of votes: 12
The following tally table summarizes all the preferences of all the voters. The bold underlined numbers are the ones that apply to the winning sequence.
  
All possible pairs of choice names Number of votes with indicated preference
Prefer X over Y Equal preference Prefer Y over X
X = Benji
Y = Travis		 3
3 voters prefer Benji over Travis		 6
6 voters have an equal preference for Benji and Travis		 3
3 voters prefer Travis over Benji
X = Benji
Y = Jason		 4
4 voters prefer Benji over Jason		 6
6 voters have an equal preference for Benji and Jason		 2
2 voters prefer Jason over Benji
X = Benji
Y = Dimitri		 6
6 voters prefer Benji over Dimitri		 5
5 voters have an equal preference for Benji and Dimitri		 1
1 voter prefers Dimitri over Benji
X = Benji
Y = Stanislav		 4
4 voters prefer Benji over Stanislav		 6
6 voters have an equal preference for Benji and Stanislav		 2
2 voters prefer Stanislav over Benji
X = Benji
Y = Ben		 5
5 voters prefer Benji over Ben		 6
6 voters have an equal preference for Benji and Ben		 1
1 voter prefers Ben over Benji
X = Benji
Y = Jaymz		 6
6 voters prefer Benji over Jaymz		 5
5 voters have an equal preference for Benji and Jaymz		 1
1 voter prefers Jaymz over Benji
X = Benji
Y = Musa		 6
6 voters prefer Benji over Musa		 5
5 voters have an equal preference for Benji and Musa		 1
1 voter prefers Musa over Benji
X = Benji
Y = Ivan		 6
6 voters prefer Benji over Ivan		 6
6 voters have an equal preference for Benji and Ivan		 0
0 voters prefer Ivan over Benji
X = Benji
Y = Ryan		 6
6 voters prefer Benji over Ryan		 5
5 voters have an equal preference for Benji and Ryan		 1
1 voter prefers Ryan over Benji
X = Travis
Y = Jason		 4
4 voters prefer Travis over Jason		 6
6 voters have an equal preference for Travis and Jason		 2
2 voters prefer Jason over Travis
X = Travis
Y = Dimitri		 4
4 voters prefer Travis over Dimitri		 6
6 voters have an equal preference for Travis and Dimitri		 2
2 voters prefer Dimitri over Travis
X = Travis
Y = Stanislav		 3
3 voters prefer Travis over Stanislav		 6
6 voters have an equal preference for Travis and Stanislav		 3
3 voters prefer Stanislav over Travis
X = Travis
Y = Ben		 3
3 voters prefer Travis over Ben		 7
7 voters have an equal preference for Travis and Ben		 2
2 voters prefer Ben over Travis
X = Travis
Y = Jaymz		 4
4 voters prefer Travis over Jaymz		 6
6 voters have an equal preference for Travis and Jaymz		 2
2 voters prefer Jaymz over Travis
X = Travis
Y = Musa		 4
4 voters prefer Travis over Musa		 6
6 voters have an equal preference for Travis and Musa		 2
2 voters prefer Musa over Travis
X = Travis
Y = Ivan		 4
4 voters prefer Travis over Ivan		 7
7 voters have an equal preference for Travis and Ivan		 1
1 voter prefers Ivan over Travis
X = Travis
Y = Ryan		 4
4 voters prefer Travis over Ryan		 6
6 voters have an equal preference for Travis and Ryan		 2
2 voters prefer Ryan over Travis
X = Jason
Y = Dimitri		 3
3 voters prefer Jason over Dimitri		 5
5 voters have an equal preference for Jason and Dimitri		 4
4 voters prefer Dimitri over Jason
X = Jason
Y = Stanislav		 4
4 voters prefer Jason over Stanislav		 6
6 voters have an equal preference for Jason and Stanislav		 2
2 voters prefer Stanislav over Jason
X = Jason
Y = Ben		 3
3 voters prefer Jason over Ben		 6
6 voters have an equal preference for Jason and Ben		 3
3 voters prefer Ben over Jason
X = Jason
Y = Jaymz		 4
4 voters prefer Jason over Jaymz		 5
5 voters have an equal preference for Jason and Jaymz		 3
3 voters prefer Jaymz over Jason
X = Jason
Y = Musa		 5
5 voters prefer Jason over Musa		 5
5 voters have an equal preference for Jason and Musa		 2
2 voters prefer Musa over Jason
X = Jason
Y = Ivan		 3
3 voters prefer Jason over Ivan		 6
6 voters have an equal preference for Jason and Ivan		 3
3 voters prefer Ivan over Jason
X = Jason
Y = Ryan		 5
5 voters prefer Jason over Ryan		 5
5 voters have an equal preference for Jason and Ryan		 2
2 voters prefer Ryan over Jason
X = Dimitri
Y = Stanislav		 3
3 voters prefer Dimitri over Stanislav		 5
5 voters have an equal preference for Dimitri and Stanislav		 4
4 voters prefer Stanislav over Dimitri
X = Dimitri
Y = Ben		 3
3 voters prefer Dimitri over Ben		 6
6 voters have an equal preference for Dimitri and Ben		 3
3 voters prefer Ben over Dimitri
X = Dimitri
Y = Jaymz		 3
3 voters prefer Dimitri over Jaymz		 5
5 voters have an equal preference for Dimitri and Jaymz		 4
4 voters prefer Jaymz over Dimitri
X = Dimitri
Y = Musa		 5
5 voters prefer Dimitri over Musa		 5
5 voters have an equal preference for Dimitri and Musa		 2
2 voters prefer Musa over Dimitri
X = Dimitri
Y = Ivan		 5
5 voters prefer Dimitri over Ivan		 6
6 voters have an equal preference for Dimitri and Ivan		 1
1 voter prefers Ivan over Dimitri
X = Dimitri
Y = Ryan		 3
3 voters prefer Dimitri over Ryan		 6
6 voters have an equal preference for Dimitri and Ryan		 3
3 voters prefer Ryan over Dimitri
X = Stanislav
Y = Ben		 3
3 voters prefer Stanislav over Ben		 6
6 voters have an equal preference for Stanislav and Ben		 3
3 voters prefer Ben over Stanislav
X = Stanislav
Y = Jaymz		 4
4 voters prefer Stanislav over Jaymz		 5
5 voters have an equal preference for Stanislav and Jaymz		 3
3 voters prefer Jaymz over Stanislav
X = Stanislav
Y = Musa		 4
4 voters prefer Stanislav over Musa		 5
5 voters have an equal preference for Stanislav and Musa		 3
3 voters prefer Musa over Stanislav
X = Stanislav
Y = Ivan		 4
4 voters prefer Stanislav over Ivan		 6
6 voters have an equal preference for Stanislav and Ivan		 2
2 voters prefer Ivan over Stanislav
X = Stanislav
Y = Ryan		 4
4 voters prefer Stanislav over Ryan		 5
5 voters have an equal preference for Stanislav and Ryan		 3
3 voters prefer Ryan over Stanislav
X = Ben
Y = Jaymz		 3
3 voters prefer Ben over Jaymz		 6
6 voters have an equal preference for Ben and Jaymz		 3
3 voters prefer Jaymz over Ben
X = Ben
Y = Musa		 3
3 voters prefer Ben over Musa		 6
6 voters have an equal preference for Ben and Musa		 3
3 voters prefer Musa over Ben
X = Ben
Y = Ivan		 5
5 voters prefer Ben over Ivan		 7
7 voters have an equal preference for Ben and Ivan		 0
0 voters prefer Ivan over Ben
X = Ben
Y = Ryan		 3
3 voters prefer Ben over Ryan		 6
6 voters have an equal preference for Ben and Ryan		 3
3 voters prefer Ryan over Ben
X = Jaymz
Y = Musa		 5
5 voters prefer Jaymz over Musa		 5
5 voters have an equal preference for Jaymz and Musa		 2
2 voters prefer Musa over Jaymz
X = Jaymz
Y = Ivan		 5
5 voters prefer Jaymz over Ivan		 6
6 voters have an equal preference for Jaymz and Ivan		 1
1 voter prefers Ivan over Jaymz
X = Jaymz
Y = Ryan		 5
5 voters prefer Jaymz over Ryan		 5
5 voters have an equal preference for Jaymz and Ryan		 2
2 voters prefer Ryan over Jaymz
X = Musa
Y = Ivan		 3
3 voters prefer Musa over Ivan		 6
6 voters have an equal preference for Musa and Ivan		 3
3 voters prefer Ivan over Musa
X = Musa
Y = Ryan		 3
3 voters prefer Musa over Ryan		 7
7 voters have an equal preference for Musa and Ryan		 2
2 voters prefer Ryan over Musa
X = Ivan
Y = Ryan		 3
3 voters prefer Ivan over Ryan		 6
6 voters have an equal preference for Ivan and Ryan		 3
3 voters prefer Ryan over Ivan
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 180
Number of all possible valid sequences (without ties): 3,628,800
First sequence:
  1. Ben
  2. Benji
  3. Dimitri
  4. Ivan
  5. Jason
  6. Jaymz
  7. Musa
  8. Ryan
  9. Stanislav
  10. Travis
Last sequence:
  1. Travis
  2. Stanislav
  3. Ryan
  4. Musa
  5. Jaymz
  6. Jason
  7. Ivan
  8. Dimitri
  9. Benji
  10. Ben
© Copyright 2006 Solutions Through Innovation at www.VoteFair.org

Detailed ballot information
(The numbers indicate the choices
as listed in "First sequence" above,
a comma indicates the next lower preference level,
"&" joins choices at the same preference level,
and "x" precedes the vote count.)

  • 1&2&3&4&5&6&7&8&9&10 x3
  • 1,2,3,4,5,6,7,8,9,10 x1
  • 10,2,5,6,8,3,7,1,4,9 x1
  • 10,5,2,9,7,8,1,6,3,4 x1
  • 10,9,2,3,6,1,4,5,7,8 x1
  • 2,1,9,10,6,4,3&8,7,5 x1
  • 3,1&2&4&5&6&7&8&9&10 x1
  • 5,9,2,1&3&4&6&7&8&10 x1
  • 6,1&2&3&4&5&7&8&9&10 x1
  • 7&8,1&2&3&4&5&6&9&10 x1

© Copyright 2006 Solutions Through Innovation at www.VoteFair.org

Software version: 2006-June-16

The free VoteFair ranking service is subsidized by sales of Ending The Hidden Unfairness In U.S. Elections and The Creative Problem Solver's Toolbox, which were written by Richard Fobes, the inventor of VoteFair ranking and the programmer and writer for the VoteFair site. Cover of Ending The Hidden Unfairness In U.S. Elections Cover of The Creative Problem Solver's Toolbox

 

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