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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-August-4  0:14

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 6    

Question (number 1) title:

     How well can these 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 55 for Travis
Third-most popular Heidi Ranking score is 44 for Heidi
Fourth-most popular Natalie Ranking score is 25 for Natalie
Fifth-most popular Donyelle Ranking score is 12 for Donyelle
Sixth-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
(2 ballots at least partially ignored because they include an equal preference at a significant step in the runoff process.)
(Choice eliminated in the first round: Ivan)
Majority None of the choices has won a majority ( more than half ) the votes.

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

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

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

Details of plurality results

  
Choice Vote count Percentage
Benji 78 46
Travis 37 22
Heidi 17 10
Donyelle 16 9
Natalie 14 8
Ivan 9 5
(18 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: 189
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		 121
121 voter prefers Benji over Travis		 5
5 voters have an equal preference for Benji and Travis		 63
63 voters prefer Travis over Benji
X = Benji
Y = Heidi		 137
137 voters prefer Benji over Heidi		 14
14 voters have an equal preference for Benji and Heidi		 38
38 voters prefer Heidi over Benji
X = Benji
Y = Natalie		 144
144 voters prefer Benji over Natalie		 8
8 voters have an equal preference for Benji and Natalie		 37
37 voters prefer Natalie over Benji
X = Benji
Y = Donyelle		 150
150 voters prefer Benji over Donyelle		 13
13 voters have an equal preference for Benji and Donyelle		 26
26 voters prefer Donyelle over Benji
X = Benji
Y = Ivan		 169
169 voters prefer Benji over Ivan		 7
7 voters have an equal preference for Benji and Ivan		 13
13 voters prefer Ivan over Benji
X = Travis
Y = Heidi		 97
97 voters prefer Travis over Heidi		 13
13 voters have an equal preference for Travis and Heidi		 79
79 voters prefer Heidi over Travis
X = Travis
Y = Natalie		 130
130 voters prefer Travis over Natalie		 12
12 voters have an equal preference for Travis and Natalie		 47
47 voters prefer Natalie over Travis
X = Travis
Y = Donyelle		 137
137 voters prefer Travis over Donyelle		 12
12 voters have an equal preference for Travis and Donyelle		 40
40 voters prefer Donyelle over Travis
X = Travis
Y = Ivan		 157
157 voters prefer Travis over Ivan		 8
8 voters have an equal preference for Travis and Ivan		 24
24 voters prefer Ivan over Travis
X = Heidi
Y = Natalie		 126
126 voters prefer Heidi over Natalie		 8
8 voters have an equal preference for Heidi and Natalie		 55
55 voters prefer Natalie over Heidi
X = Heidi
Y = Donyelle		 131
131 voter prefers Heidi over Donyelle		 10
10 voters have an equal preference for Heidi and Donyelle		 48
48 voters prefer Donyelle over Heidi
X = Heidi
Y = Ivan		 155
155 voters prefer Heidi over Ivan		 12
12 voters have an equal preference for Heidi and Ivan		 22
22 voters prefer Ivan over Heidi
X = Natalie
Y = Donyelle		 104
104 voters prefer Natalie over Donyelle		 10
10 voters have an equal preference for Natalie and Donyelle		 75
75 voters prefer Donyelle over Natalie
X = Natalie
Y = Ivan		 128
128 voters prefer Natalie over Ivan		 13
13 voters have an equal preference for Natalie and Ivan		 48
48 voters prefer Ivan over Natalie
X = Donyelle
Y = Ivan		 116
116 voters prefer Donyelle over Ivan		 17
17 voters have an equal preference for Donyelle and Ivan		 56
56 voters prefer Ivan over Donyelle
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 2,002
Number of all possible valid sequences (without ties): 720
First sequence:
  1. Donyelle
  2. Heidi
  3. Natalie
  4. Benji
  5. Ivan
  6. Travis
Last sequence:
  1. Travis
  2. Ivan
  3. Benji
  4. Natalie
  5. Heidi
  6. Donyelle
© 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&4&5&6,2,3 x1
  • 1&4,2&6,3&5 x2
  • 1&4,3&6,2&5 x1
  • 1&4,6,2,3&5 x1
  • 1&6,2&4,3,5 x1
  • 1,2,4,3,5,6 x1
  • 1,3,4,2,5,6 x1
  • 1,4,2,3,5,6 x1
  • 1,4,2,3,6,5 x2
  • 1,4,2,6,3,5 x1
  • 1,4,6,2,3,5 x3
  • 1,4,6,2,5,3 x2
  • 1,4,6,3,2,5 x1
  • 1,4,6,5,2,3 x1
  • 1,6,4,3,2,5 x2
  • 1,6,4,5,2,3 x1
  • 2&4,1&3&5&6 x1
  • 2&4,1&5,6,3 x1
  • 2&4,1&6,3&5 x1
  • 2&4,3&5&6,1 x1
  • 2&4,3&6,1&5 x2
  • 2&6,3&4,1&5 x1
  • 2,3,1,4,6,5 x1
  • 2,3,4,6,1,5 x1
  • 2,3,4,6,5,1 x1
  • 2,4,1,3,6,5 x1
  • 2,4,3,6,1,5 x1
  • 2,4,6,1,3,5 x1
  • 2,4,6,3,1,5 x2
  • 2,4,6,3,5,1 x2
  • 2,4,6,5,1,3 x1
  • 2,4,6,5,3,1 x1
  • 2,6,3,4,1,5 x1
  • 2,6,3,4,5,1 x1
  • 2,6,4,1,3,5 x2
  • 2,6,4,3,5,1 x1
  • 3&4,2&5,1&6 x1
  • 3&4,2&6,1&5 x2
  • 3&6,1&4,2&5 x1
  • 3,1,2&4&5&6 x1
  • 3,4,2,6,1,5 x1
  • 3,4,6,1,2,5 x1
  • 3,4,6,2,1,5 x1
  • 3,4,6,2,5,1 x1
  • 3,6,1&2&4&5 x2
  • 3,6,2,1,4,5 x1
  • 3,6,2,4,1,5 x1
  • 3,6,2,4,5,1 x1
  • 3,6,4,1,2,5 x1
  • [Remaining ballots not listed]

© 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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