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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-July-13  23:33

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 12    

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 84 for Benji
Second-most popular Dimitri Ranking score is 52 for Dimitri
Third-most popular Travis Ranking score is 41 for Travis
Fourth-most popular Ivan Ranking score is 28 for Ivan
Fifth-most popular Musa Ranking score is 10 for Musa
Sixth-most popular Ryan Ranking score is 0 for Ryan

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
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 19 66
Dimitri 8 28
Travis 1 3
Musa 1 3
Ryan 0 0
Ivan 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: 29
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		 20
20 voters prefer Benji over Dimitri		 1
1 voter has an equal preference for Benji and Dimitri		 8
8 voters prefer Dimitri over Benji
X = Benji
Y = Travis		 24
24 voters prefer Benji over Travis		 1
1 voter has an equal preference for Benji and Travis		 4
4 voters prefer Travis over Benji
X = Benji
Y = Ivan		 26
26 voters prefer Benji over Ivan		 2
2 voters have an equal preference for Benji and Ivan		 1
1 voter prefers Ivan over Benji
X = Benji
Y = Musa		 25
25 voters prefer Benji over Musa		 2
2 voters have an equal preference for Benji and Musa		 2
2 voters prefer Musa over Benji
X = Benji
Y = Ryan		 27
27 voters prefer Benji over Ryan		 2
2 voters have an equal preference for Benji and Ryan		 0
0 voters prefer Ryan over Benji
X = Dimitri
Y = Travis		 15
15 voters prefer Dimitri over Travis		 1
1 voter has an equal preference for Dimitri and Travis		 13
13 voters prefer Travis over Dimitri
X = Dimitri
Y = Ivan		 18
18 voters prefer Dimitri over Ivan		 3
3 voters have an equal preference for Dimitri and Ivan		 8
8 voters prefer Ivan over Dimitri
X = Dimitri
Y = Musa		 21
21 voter prefers Dimitri over Musa		 2
2 voters have an equal preference for Dimitri and Musa		 6
6 voters prefer Musa over Dimitri
X = Dimitri
Y = Ryan		 22
22 voters prefer Dimitri over Ryan		 2
2 voters have an equal preference for Dimitri and Ryan		 5
5 voters prefer Ryan over Dimitri
X = Travis
Y = Ivan		 15
15 voters prefer Travis over Ivan		 2
2 voters have an equal preference for Travis and Ivan		 12
12 voters prefer Ivan over Travis
X = Travis
Y = Musa		 22
22 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 = Ryan		 23
23 voters prefer Travis over Ryan		 2
2 voters have an equal preference for Travis and Ryan		 4
4 voters prefer Ryan over Travis
X = Ivan
Y = Musa		 19
19 voters prefer Ivan over Musa		 3
3 voters have an equal preference for Ivan and Musa		 7
7 voters prefer Musa over Ivan
X = Ivan
Y = Ryan		 21
21 voter prefers Ivan over Ryan		 3
3 voters have an equal preference for Ivan and Ryan		 5
5 voters prefer Ryan over Ivan
X = Musa
Y = Ryan		 15
15 voters prefer Musa over Ryan		 3
3 voters have an equal preference for Musa and Ryan		 11
11 voter prefers Ryan over Musa
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): 720
First sequence:
  1. Benji
  2. Dimitri
  3. Ivan
  4. Musa
  5. Ryan
  6. Travis
Last sequence:
  1. Travis
  2. Ryan
  3. Musa
  4. Ivan
  5. Dimitri
  6. 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&3&4&5&6 x1
  • 1,2&3,6,5,4 x1
  • 1,2,3,4,6,5 x1
  • 1,2,3,6,4,5 x1
  • 1,2,6,3,5,4 x1
  • 1,2,6,5,4,3 x1
  • 1,3,2,4,5,6 x1
  • 1,3,4,6,5,2 x1
  • 1,3,6,4,2,5 x1
  • 1,3,6,5,2,4 x2
  • 1,4,5,6,2,3 x1
  • 1,6,2,3,4,5 x1
  • 1,6,2,3,5,4 x3
  • 1,6,3,2,4,5 x1
  • 1,6,3,4,2,5 x1
  • 1,6,5,4,3,2 x1
  • 2,1&3&4&5&6 x1
  • 2,1,3,6,4,5 x2
  • 2,1,5,3,6,4 x1
  • 2,1,6,5,4,3 x1
  • 2,6,1,4,3,5 x2
  • 2,6,3,4,1,5 x1
  • 4,1,2,3,5,6 x1
  • 6,1&2&3&4&5 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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