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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-June-23  0:17

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 18    

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 76 for Benji
Second -most popular Travis Ranking score is 64 for Travis
Third -most popular Musa Ranking score is 43 for Musa
Fourth -most popular Dimitri Ranking score is 38 for Dimitri
Fifth -most popular Jason Ranking score is 28 for Jason
Sixth -most popular Jaymz Ranking score is 21 for Jaymz
Seventh -most popular Ryan Ranking score is 15 for Ryan
Eighth -most popular Ben Ranking score is 7 for Ben
Ninth -most popular Ivan Ranking score is 0 for Ivan

VoteFair representation Ranking

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

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.

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

(2 ballots ignored because they rank more than one choice as the most-preferred choice.)
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 7 47
Travis 3 20
Dimitri 2 13
Musa 1 7
Jaymz 1 7
Ben 1 7
Ryan 0 0
Jason 0 0
Ivan 0 0
(2 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: 17
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		 10
10 voters prefer Benji over Travis		 1
1 voter has an equal preference for Benji and Travis		 6
6 voters prefer Travis over Benji
X = Benji
Y = Musa		 13
13 voters prefer Benji over Musa		 0
0 voters have an equal preference for Benji and Musa		 4
4 voters prefer Musa over Benji
X = Benji
Y = Dimitri		 13
13 voters prefer Benji over Dimitri		 1
1 voter has an equal preference for Benji and Dimitri		 3
3 voters prefer Dimitri over Benji
X = Benji
Y = Jason		 14
14 voters prefer Benji over Jason		 0
0 voters have an equal preference for Benji and Jason		 3
3 voters prefer Jason over Benji
X = Benji
Y = Jaymz		 11
11 voter prefers Benji over Jaymz		 0
0 voters have an equal preference for Benji and Jaymz		 6
6 voters prefer Jaymz over Benji
X = Benji
Y = Ryan		 14
14 voters prefer Benji over Ryan		 0
0 voters have an equal preference for Benji and Ryan		 3
3 voters prefer Ryan over Benji
X = Benji
Y = Ben		 13
13 voters prefer Benji over Ben		 1
1 voter has an equal preference for Benji and Ben		 3
3 voters prefer Ben over Benji
X = Benji
Y = Ivan		 16
16 voters prefer Benji over Ivan		 0
0 voters have an equal preference for Benji and Ivan		 1
1 voter prefers Ivan over Benji
X = Travis
Y = Musa		 10
10 voters prefer Travis over Musa		 2
2 voters have an equal preference for Travis and Musa		 5
5 voters prefer Musa over Travis
X = Travis
Y = Dimitri		 11
11 voter prefers Travis over Dimitri		 2
2 voters have an equal preference for Travis and Dimitri		 4
4 voters prefer Dimitri over Travis
X = Travis
Y = Jason		 12
12 voters prefer Travis over Jason		 2
2 voters have an equal preference for Travis and Jason		 3
3 voters prefer Jason over Travis
X = Travis
Y = Jaymz		 12
12 voters prefer Travis over Jaymz		 2
2 voters have an equal preference for Travis and Jaymz		 3
3 voters prefer Jaymz over Travis
X = Travis
Y = Ryan		 13
13 voters prefer Travis over Ryan		 3
3 voters have an equal preference for Travis and Ryan		 1
1 voter prefers Ryan over Travis
X = Travis
Y = Ben		 14
14 voters prefer Travis over Ben		 1
1 voter has an equal preference for Travis and Ben		 2
2 voters prefer Ben over Travis
X = Travis
Y = Ivan		 15
15 voters prefer Travis over Ivan		 1
1 voter has an equal preference for Travis and Ivan		 1
1 voter prefers Ivan over Travis
X = Musa
Y = Dimitri		 8
8 voters prefer Musa over Dimitri		 2
2 voters have an equal preference for Musa and Dimitri		 7
7 voters prefer Dimitri over Musa
X = Musa
Y = Jason		 8
8 voters prefer Musa over Jason		 2
2 voters have an equal preference for Musa and Jason		 7
7 voters prefer Jason over Musa
X = Musa
Y = Jaymz		 8
8 voters prefer Musa over Jaymz		 3
3 voters have an equal preference for Musa and Jaymz		 6
6 voters prefer Jaymz over Musa
X = Musa
Y = Ryan		 10
10 voters prefer Musa over Ryan		 2
2 voters have an equal preference for Musa and Ryan		 5
5 voters prefer Ryan over Musa
X = Musa
Y = Ben		 12
12 voters prefer Musa over Ben		 1
1 voter has an equal preference for Musa and Ben		 4
4 voters prefer Ben over Musa
X = Musa
Y = Ivan		 12
12 voters prefer Musa over Ivan		 1
1 voter has an equal preference for Musa and Ivan		 4
4 voters prefer Ivan over Musa
X = Dimitri
Y = Jason		 9
9 voters prefer Dimitri over Jason		 2
2 voters have an equal preference for Dimitri and Jason		 6
6 voters prefer Jason over Dimitri
X = Dimitri
Y = Jaymz		 10
10 voters prefer Dimitri over Jaymz		 2
2 voters have an equal preference for Dimitri and Jaymz		 5
5 voters prefer Jaymz over Dimitri
X = Dimitri
Y = Ryan		 10
10 voters prefer Dimitri over Ryan		 2
2 voters have an equal preference for Dimitri and Ryan		 5
5 voters prefer Ryan over Dimitri
X = Dimitri
Y = Ben		 11
11 voter prefers Dimitri over Ben		 1
1 voter has an equal preference for Dimitri and Ben		 5
5 voters prefer Ben over Dimitri
X = Dimitri
Y = Ivan		 12
12 voters prefer Dimitri over Ivan		 1
1 voter has an equal preference for Dimitri and Ivan		 4
4 voters prefer Ivan over Dimitri
X = Jason
Y = Jaymz		 8
8 voters prefer Jason over Jaymz		 2
2 voters have an equal preference for Jason and Jaymz		 7
7 voters prefer Jaymz over Jason
X = Jason
Y = Ryan		 9
9 voters prefer Jason over Ryan		 2
2 voters have an equal preference for Jason and Ryan		 6
6 voters prefer Ryan over Jason
X = Jason
Y = Ben		 12
12 voters prefer Jason over Ben		 1
1 voter has an equal preference for Jason and Ben		 4
4 voters prefer Ben over Jason
X = Jason
Y = Ivan		 9
9 voters prefer Jason over Ivan		 2
2 voters have an equal preference for Jason and Ivan		 6
6 voters prefer Ivan over Jason
X = Jaymz
Y = Ryan		 9
9 voters prefer Jaymz over Ryan		 2
2 voters have an equal preference for Jaymz and Ryan		 6
6 voters prefer Ryan over Jaymz
X = Jaymz
Y = Ben		 11
11 voter prefers Jaymz over Ben		 1
1 voter has an equal preference for Jaymz and Ben		 5
5 voters prefer Ben over Jaymz
X = Jaymz
Y = Ivan		 9
9 voters prefer Jaymz over Ivan		 1
1 voter has an equal preference for Jaymz and Ivan		 7
7 voters prefer Ivan over Jaymz
X = Ryan
Y = Ben		 11
11 voter prefers Ryan over Ben		 1
1 voter has an equal preference for Ryan and Ben		 5
5 voters prefer Ben over Ryan
X = Ryan
Y = Ivan		 10
10 voters prefer Ryan over Ivan		 1
1 voter has an equal preference for Ryan and Ivan		 6
6 voters prefer Ivan over Ryan
X = Ben
Y = Ivan		 9
9 voters prefer Ben over Ivan		 1
1 voter has an equal preference for Ben and Ivan		 7
7 voters prefer Ivan over Ben
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 398
Number of all possible valid sequences (without ties): 362,880
First sequence:
  1. Ben
  2. Benji
  3. Dimitri
  4. Ivan
  5. Jason
  6. Jaymz
  7. Musa
  8. Ryan
  9. Travis
Last sequence:
  1. Travis
  2. Ryan
  3. Musa
  4. Jaymz
  5. Jason
  6. Ivan
  7. Dimitri
  8. Benji
  9. 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&5&6&7&8&9,4 x1
  • 1,8&9,4&5,6&7,2&3 x1
  • 2&9,3,4,5,6,8,7,1 x1
  • 2,1&3&4&5&6&7&8&9 x1
  • 2,4,7,3,9,8,5,6,1 x1
  • 2,6,3,5,9,8,7,4,1 x1
  • 2,7,5,9,8,1,4,3,6 x1
  • 2,7,9,4,3,8,6,5,1 x1
  • 2,9,5,7,3,6,1,4,8 x1
  • 2,9,7,3,8,4,6,5,1 x1
  • 3,6,2,5,7,8,9,1,4 x1
  • 3,9,6,2,7,8,5,4,1 x1
  • 6,9,2,1,3,7,4,5,8 x1
  • 7,2,9,6,8,5,3,1,4 x1
  • 9,1,5,6,8,2,3,4,7 x1
  • 9,5,8,3,7,1,6,2,4 x1
  • 9,7,2,3,4,5,6,8,1 x1

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

Software version: 2006-June-17

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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