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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-June-30  0:12

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 16    

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 78 for Benji
Second-most popular Dimitri Ranking score is 53 for Dimitri
Third-most popular Travis Ranking score is 44 for Travis
Fourth-most popular Musa Ranking score is 34 for Musa
Fifth-most popular Ivan Ranking score is 23 for Ivan
Sixth-most popular Jaymz Ranking score is 14 for Jaymz
Seventh-most popular Ryan Ranking score is 9 for Ryan
Eighth-most popular Ben Ranking score is 0 for Ben

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 Benji
Majority Benji

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

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

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

Details of plurality results

  
Choice Vote count Percentage
Benji 11 65
Dimitri 3 18
Travis 2 12
Ben 1 6
Ryan 0 0
Musa 0 0
Jaymz 0 0
Ivan 0 0
(5 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: 22
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		 14
14 voters prefer Benji over Dimitri		 4
4 voters have an equal preference for Benji and Dimitri		 4
4 voters prefer Dimitri over Benji
X = Benji
Y = Travis		 15
15 voters prefer Benji over Travis		 4
4 voters have an equal preference for Benji and Travis		 3
3 voters prefer Travis over Benji
X = Benji
Y = Musa		 18
18 voters prefer Benji over Musa		 3
3 voters have an equal preference for Benji and Musa		 1
1 voter prefers Musa over Benji
X = Benji
Y = Ivan		 17
17 voters prefer Benji over Ivan		 3
3 voters have an equal preference for Benji and Ivan		 2
2 voters prefer Ivan over Benji
X = Benji
Y = Jaymz		 19
19 voters prefer Benji over Jaymz		 1
1 voter has an equal preference for Benji and Jaymz		 2
2 voters prefer Jaymz over Benji
X = Benji
Y = Ryan		 18
18 voters prefer Benji over Ryan		 4
4 voters have an equal preference for Benji and Ryan		 0
0 voters prefer Ryan over Benji
X = Benji
Y = Ben		 19
19 voters prefer Benji over Ben		 2
2 voters have an equal preference for Benji and Ben		 1
1 voter prefers Ben over Benji
X = Dimitri
Y = Travis		 9
9 voters prefer Dimitri over Travis		 5
5 voters have an equal preference for Dimitri and Travis		 8
8 voters prefer Travis over Dimitri
X = Dimitri
Y = Musa		 13
13 voters prefer Dimitri over Musa		 5
5 voters have an equal preference for Dimitri and Musa		 4
4 voters prefer Musa over Dimitri
X = Dimitri
Y = Ivan		 12
12 voters prefer Dimitri over Ivan		 4
4 voters have an equal preference for Dimitri and Ivan		 6
6 voters prefer Ivan over Dimitri
X = Dimitri
Y = Jaymz		 18
18 voters prefer Dimitri over Jaymz		 2
2 voters have an equal preference for Dimitri and Jaymz		 2
2 voters prefer Jaymz over Dimitri
X = Dimitri
Y = Ryan		 14
14 voters prefer Dimitri over Ryan		 4
4 voters have an equal preference for Dimitri and Ryan		 4
4 voters prefer Ryan over Dimitri
X = Dimitri
Y = Ben		 16
16 voters prefer Dimitri over Ben		 5
5 voters have an equal preference for Dimitri and Ben		 1
1 voter prefers Ben over Dimitri
X = Travis
Y = Musa		 12
12 voters prefer Travis over Musa		 4
4 voters have an equal preference for Travis and Musa		 6
6 voters prefer Musa over Travis
X = Travis
Y = Ivan		 12
12 voters prefer Travis over Ivan		 3
3 voters have an equal preference for Travis and Ivan		 7
7 voters prefer Ivan over Travis
X = Travis
Y = Jaymz		 14
14 voters prefer Travis over Jaymz		 3
3 voters have an equal preference for Travis and Jaymz		 5
5 voters prefer Jaymz over Travis
X = Travis
Y = Ryan		 15
15 voters prefer Travis over Ryan		 4
4 voters have an equal preference for Travis and Ryan		 3
3 voters prefer Ryan over Travis
X = Travis
Y = Ben		 15
15 voters prefer Travis over Ben		 5
5 voters have an equal preference for Travis and Ben		 2
2 voters prefer Ben over Travis
X = Musa
Y = Ivan		 10
10 voters prefer Musa over Ivan		 4
4 voters have an equal preference for Musa and Ivan		 8
8 voters prefer Ivan over Musa
X = Musa
Y = Jaymz		 14
14 voters prefer Musa over Jaymz		 3
3 voters have an equal preference for Musa and Jaymz		 5
5 voters prefer Jaymz over Musa
X = Musa
Y = Ryan		 15
15 voters prefer Musa over Ryan		 4
4 voters have an equal preference for Musa and Ryan		 3
3 voters prefer Ryan over Musa
X = Musa
Y = Ben		 14
14 voters prefer Musa over Ben		 5
5 voters have an equal preference for Musa and Ben		 3
3 voters prefer Ben over Musa
X = Ivan
Y = Jaymz		 12
12 voters prefer Ivan over Jaymz		 2
2 voters have an equal preference for Ivan and Jaymz		 8
8 voters prefer Jaymz over Ivan
X = Ivan
Y = Ryan		 10
10 voters prefer Ivan over Ryan		 4
4 voters have an equal preference for Ivan and Ryan		 8
8 voters prefer Ryan over Ivan
X = Ivan
Y = Ben		 13
13 voters prefer Ivan over Ben		 3
3 voters have an equal preference for Ivan and Ben		 6
6 voters prefer Ben over Ivan
X = Jaymz
Y = Ryan		 12
12 voters prefer Jaymz over Ryan		 2
2 voters have an equal preference for Jaymz and Ryan		 8
8 voters prefer Ryan over Jaymz
X = Jaymz
Y = Ben		 10
10 voters prefer Jaymz over Ben		 3
3 voters have an equal preference for Jaymz and Ben		 9
9 voters prefer Ben over Jaymz
X = Ryan
Y = Ben		 14
14 voters prefer Ryan over Ben		 3
3 voters have an equal preference for Ryan and Ben		 5
5 voters prefer Ben 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: 394
Number of all possible valid sequences (without ties): 40,320
First sequence:
  1. Ben
  2. Benji
  3. Dimitri
  4. Ivan
  5. Jaymz
  6. Musa
  7. Ryan
  8. Travis
Last sequence:
  1. Travis
  2. Ryan
  3. Musa
  4. Jaymz
  5. Ivan
  6. Dimitri
  7. Benji
  8. 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 x1
  • 1&2&3&4&6&7&8,5 x1
  • 1,4,3,5,2,8,7,6 x1
  • 2&3&4&6&7,1&5&8 x1
  • 2&3&8,1&6,4,5,7 x1
  • 2&7&8,4,1&3,5&6 x1
  • 2,1&3&4&5&6&7&8 x1
  • 2,1&3&6&8,5,7,4 x1
  • 2,3,4,6,1,5,8,7 x1
  • 2,3,4,6,8,5,7,1 x1
  • 2,3,6,8,7,4,5,1 x1
  • 2,5,8,3,6,7,4,1 x1
  • 2,6,4,3,8,5,7,1 x1
  • 2,7,5,4,8,3,1,6 x1
  • 2,8,3,4,6,7,5,1 x1
  • 2,8,4,6,3,1,5,7 x1
  • 2,8,6,7,3,1,5,4 x1
  • 3,2,8,6,5,4,7,1 x1
  • 3,5,6,4,2,7,8,1 x1
  • 3,8,2,5,6,7,1,4 x1
  • 8,2,4,3,6,5,7,1 x1
  • 8,2,6,7,3,1,5,4 x1

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

Software version: 2006-June-29

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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