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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-July-7  0:28

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 14    

Question (number 2) title:

     How well can these male dancers dance?    

The most preferred and most representative choice is:

    Benji

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Benji Ranking score is 77 for Benji
Second-most popular Dimitri Ranking score is 67 for Dimitri
Third-most popular
is a tie among these choices		 Ivan Ranking score is 33 for Ivan
Travis Ranking score is 34 for Travis
Fourth-most popular Musa Ranking score is 21 for Musa
Fifth-most popular Ryan Ranking score is 8 for Ryan
Sixth-most popular Jaymz Ranking score is 0 for Jaymz

VoteFair representation Ranking

  
First-most representative choice is: Benji
Second-most representative choice is: Dimitri

Additional levels of representation were not calculated.
(There may be too many questions, too many choices for this question, or too many votes, or no further calculations were requested.)

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 in a state legislature, 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 Benji
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.
Plurality Benji
Condorcet Benji
Borda count Benji

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

Details of plurality results

  
Choice Vote count Percentage
Benji 10 48
Dimitri 8 38
Ivan 2 10
Travis 1 5
Ryan 0 0
Musa 0 0
Jaymz 0 0

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: 21
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 = Dimitri		 12
12 voters prefer Benji over Dimitri		 0
0 voters have an equal preference for Benji and Dimitri		 9
9 voters prefer Dimitri over Benji
X = Benji
Y = Ivan		 15
15 voters prefer Benji over Ivan		 1
1 voter has an equal preference for Benji and Ivan		 5
5 voters prefer Ivan over Benji
X = Benji
Y = Travis		 17
17 voters prefer Benji over Travis		 1
1 voter has an equal preference for Benji and Travis		 3
3 voters prefer Travis over Benji
X = Benji
Y = Musa		 17
17 voters prefer Benji over Musa		 1
1 voter has an equal preference for Benji and Musa		 3
3 voters prefer Musa over Benji
X = Benji
Y = Ryan		 18
18 voters prefer Benji over Ryan		 1
1 voter has an equal preference for Benji and Ryan		 2
2 voters prefer Ryan over Benji
X = Benji
Y = Jaymz		 18
18 voters prefer Benji over Jaymz		 2
2 voters have an equal preference for Benji and Jaymz		 1
1 voter prefers Jaymz over Benji
X = Dimitri
Y = Ivan		 16
16 voters prefer Dimitri over Ivan		 0
0 voters have an equal preference for Dimitri and Ivan		 5
5 voters prefer Ivan over Dimitri
X = Dimitri
Y = Travis		 14
14 voters prefer Dimitri over Travis		 0
0 voters have an equal preference for Dimitri and Travis		 7
7 voters prefer Travis over Dimitri
X = Dimitri
Y = Musa		 17
17 voters prefer Dimitri over Musa		 0
0 voters have an equal preference for Dimitri and Musa		 4
4 voters prefer Musa over Dimitri
X = Dimitri
Y = Ryan		 18
18 voters prefer Dimitri over Ryan		 1
1 voter has an equal preference for Dimitri and Ryan		 2
2 voters prefer Ryan over Dimitri
X = Dimitri
Y = Jaymz		 20
20 voters prefer Dimitri over Jaymz		 0
0 voters have an equal preference for Dimitri and Jaymz		 1
1 voter prefers Jaymz over Dimitri
X = Ivan
Y = Travis		 10
10 voters prefer Ivan over Travis		 1
1 voter has an equal preference for Ivan and Travis		 10
10 voters prefer Travis over Ivan
X = Ivan
Y = Musa		 14
14 voters prefer Ivan over Musa		 1
1 voter has an equal preference for Ivan and Musa		 6
6 voters prefer Musa over Ivan
X = Ivan
Y = Ryan		 14
14 voters prefer Ivan over Ryan		 1
1 voter has an equal preference for Ivan and Ryan		 6
6 voters prefer Ryan over Ivan
X = Ivan
Y = Jaymz		 14
14 voters prefer Ivan over Jaymz		 1
1 voter has an equal preference for Ivan and Jaymz		 6
6 voters prefer Jaymz over Ivan
X = Travis
Y = Musa		 12
12 voters prefer Travis over Musa		 3
3 voters have an equal preference for Travis and Musa		 6
6 voters prefer Musa over Travis
X = Travis
Y = Ryan		 15
15 voters prefer Travis over Ryan		 2
2 voters have an equal preference for Travis and Ryan		 4
4 voters prefer Ryan over Travis
X = Travis
Y = Jaymz		 16
16 voters prefer Travis over Jaymz		 2
2 voters have an equal preference for Travis and Jaymz		 3
3 voters prefer Jaymz over Travis
X = Musa
Y = Ryan		 13
13 voters prefer Musa over Ryan		 2
2 voters have an equal preference for Musa and Ryan		 6
6 voters prefer Ryan over Musa
X = Musa
Y = Jaymz		 13
13 voters prefer Musa over Jaymz		 2
2 voters have an equal preference for Musa and Jaymz		 6
6 voters prefer Jaymz over Musa
X = Ryan
Y = Jaymz		 10
10 voters prefer Ryan over Jaymz		 2
2 voters have an equal preference for Ryan and Jaymz		 9
9 voters prefer Jaymz over Ryan
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 313
Number of all possible valid sequences (without ties): 5,040
First sequence:
  1. Benji
  2. Dimitri
  3. Ivan
  4. Jaymz
  5. Musa
  6. Ryan
  7. Travis
Last sequence:
  1. Travis
  2. Ryan
  3. Musa
  4. Jaymz
  5. Ivan
  6. Dimitri
  7. Benji
© 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&6,3,5&7,4 x1
  • 1,2,3,7,4,5,6 x1
  • 1,2,5,6,3,7,4 x1
  • 1,3,2,5,7,6,4 x1
  • 1,3,6,7,2,4,5 x1
  • 1,5,7,2,4,3,6 x1
  • 1,7,2,3,5,4,6 x1
  • 1,7,2,6,4,3,5 x1
  • 1,7,5,2,6,3,4 x1
  • 1,7,5,4,2,3,6 x1
  • 2,1&3&4&5&6&7 x1
  • 2,1,4,3,7,6,5 x1
  • 2,1,7,3,5,4,6 x1
  • 2,1,7,5,6,4,3 x1
  • 2,1,7,6,5,4,3 x1
  • 2,3,1,4&5&6&7 x1
  • 2,3,5,7,1,4,6 x1
  • 2,7,3,4,5,6,1 x1
  • 3,1,2,4,5,7,6 x1
  • 3,6,5,2,1&4,7 x1
  • 7,1,3,2,5,6,4 x1

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

Software version: 2006-June-30

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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