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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-July-28  0:45

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 8    

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 78 for Benji
Second-most popular Travis Ranking score is 56 for Travis
Third-most popular Allison Ranking score is 45 for Allison
Fourth-most popular Heidi Ranking score is 35 for Heidi
Fifth-most popular Donyelle Ranking score is 27 for Donyelle
Sixth-most popular Natalie Ranking score is 19 for Natalie
Seventh-most popular Ivan Ranking score is 9 for Ivan
Eighth-most popular Ryan Ranking score is 0 for Ryan

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 Benji
(Choice eliminated in the first round: Ryan)
Majority None of the choices has won a majority ( more than half ) the votes.

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

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

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

Details of plurality results

  
Choice Vote count Percentage
Benji 38 41
Donyelle 15 16
Travis 14 15
Natalie 10 11
Allison 9 10
Heidi 5 5
Ivan 1 1
Ryan 0 0
(11 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: 103
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		 74
74 voters prefer Benji over Travis		 4
4 voters have an equal preference for Benji and Travis		 25
25 voters prefer Travis over Benji
X = Benji
Y = Allison		 77
77 voters prefer Benji over Allison		 5
5 voters have an equal preference for Benji and Allison		 21
21 voter prefers Allison over Benji
X = Benji
Y = Heidi		 85
85 voters prefer Benji over Heidi		 8
8 voters have an equal preference for Benji and Heidi		 10
10 voters prefer Heidi over Benji
X = Benji
Y = Donyelle		 69
69 voters prefer Benji over Donyelle		 10
10 voters have an equal preference for Benji and Donyelle		 24
24 voters prefer Donyelle over Benji
X = Benji
Y = Natalie		 76
76 voters prefer Benji over Natalie		 5
5 voters have an equal preference for Benji and Natalie		 22
22 voters prefer Natalie over Benji
X = Benji
Y = Ivan		 86
86 voters prefer Benji over Ivan		 4
4 voters have an equal preference for Benji and Ivan		 13
13 voters prefer Ivan over Benji
X = Benji
Y = Ryan		 92
92 voters prefer Benji over Ryan		 4
4 voters have an equal preference for Benji and Ryan		 7
7 voters prefer Ryan over Benji
X = Travis
Y = Allison		 62
62 voters prefer Travis over Allison		 7
7 voters have an equal preference for Travis and Allison		 34
34 voters prefer Allison over Travis
X = Travis
Y = Heidi		 57
57 voters prefer Travis over Heidi		 7
7 voters have an equal preference for Travis and Heidi		 39
39 voters prefer Heidi over Travis
X = Travis
Y = Donyelle		 52
52 voters prefer Travis over Donyelle		 3
3 voters have an equal preference for Travis and Donyelle		 48
48 voters prefer Donyelle over Travis
X = Travis
Y = Natalie		 68
68 voters prefer Travis over Natalie		 6
6 voters have an equal preference for Travis and Natalie		 29
29 voters prefer Natalie over Travis
X = Travis
Y = Ivan		 76
76 voters prefer Travis over Ivan		 5
5 voters have an equal preference for Travis and Ivan		 22
22 voters prefer Ivan over Travis
X = Travis
Y = Ryan		 88
88 voters prefer Travis over Ryan		 7
7 voters have an equal preference for Travis and Ryan		 8
8 voters prefer Ryan over Travis
X = Allison
Y = Heidi		 54
54 voters prefer Allison over Heidi		 5
5 voters have an equal preference for Allison and Heidi		 44
44 voters prefer Heidi over Allison
X = Allison
Y = Donyelle		 52
52 voters prefer Allison over Donyelle		 4
4 voters have an equal preference for Allison and Donyelle		 47
47 voters prefer Donyelle over Allison
X = Allison
Y = Natalie		 59
59 voters prefer Allison over Natalie		 7
7 voters have an equal preference for Allison and Natalie		 37
37 voters prefer Natalie over Allison
X = Allison
Y = Ivan		 74
74 voters prefer Allison over Ivan		 8
8 voters have an equal preference for Allison and Ivan		 21
21 voter prefers Ivan over Allison
X = Allison
Y = Ryan		 84
84 voters prefer Allison over Ryan		 7
7 voters have an equal preference for Allison and Ryan		 12
12 voters prefer Ryan over Allison
X = Heidi
Y = Donyelle		 50
50 voters prefer Heidi over Donyelle		 5
5 voters have an equal preference for Heidi and Donyelle		 48
48 voters prefer Donyelle over Heidi
X = Heidi
Y = Natalie		 58
58 voters prefer Heidi over Natalie		 6
6 voters have an equal preference for Heidi and Natalie		 39
39 voters prefer Natalie over Heidi
X = Heidi
Y = Ivan		 66
66 voters prefer Heidi over Ivan		 9
9 voters have an equal preference for Heidi and Ivan		 28
28 voters prefer Ivan over Heidi
X = Heidi
Y = Ryan		 81
81 voter prefers Heidi over Ryan		 6
6 voters have an equal preference for Heidi and Ryan		 16
16 voters prefer Ryan over Heidi
X = Donyelle
Y = Natalie		 50
50 voters prefer Donyelle over Natalie		 5
5 voters have an equal preference for Donyelle and Natalie		 48
48 voters prefer Natalie over Donyelle
X = Donyelle
Y = Ivan		 65
65 voters prefer Donyelle over Ivan		 4
4 voters have an equal preference for Donyelle and Ivan		 34
34 voters prefer Ivan over Donyelle
X = Donyelle
Y = Ryan		 80
80 voters prefer Donyelle over Ryan		 6
6 voters have an equal preference for Donyelle and Ryan		 17
17 voters prefer Ryan over Donyelle
X = Natalie
Y = Ivan		 61
61 voter prefers Natalie over Ivan		 7
7 voters have an equal preference for Natalie and Ivan		 35
35 voters prefer Ivan over Natalie
X = Natalie
Y = Ryan		 79
79 voters prefer Natalie over Ryan		 8
8 voters have an equal preference for Natalie and Ryan		 16
16 voters prefer Ryan over Natalie
X = Ivan
Y = Ryan		 63
63 voters prefer Ivan over Ryan		 7
7 voters have an equal preference for Ivan and Ryan		 33
33 voters prefer Ryan over Ivan
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,938
Number of all possible valid sequences (without ties): 40,320
First sequence:
  1. Allison
  2. Donyelle
  3. Heidi
  4. Natalie
  5. Benji
  6. Ivan
  7. Ryan
  8. Travis
Last sequence:
  1. Travis
  2. Ryan
  3. Ivan
  4. Benji
  5. Natalie
  6. Heidi
  7. Donyelle
  8. Allison
© 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&5,4&6,3&8,2&7 x1
  • 1&6,2&3&4&5&7&8 x1
  • 1&8,4&5,3&6,2,7 x1
  • 1,3,5,4,6,2,8,7 x1
  • 1,4,5,6,3,2,8,7 x1
  • 1,4,6,8,5,3,2,7 x1
  • 1,4,7,6,2,3&5&8 x2
  • 1,5,3,4,6,8,7,2 x1
  • 1,5,3,7,4,2,8,6 x1
  • 1,8,2,4,5,7,3,6 x1
  • 1,8,7,5,6,4,3,2 x1
  • 2&3&5,6&7&8,1&4 x1
  • 2&5,1&3&4&6&7&8 x1
  • 2&5,1&7&8,3&6,4 x1
  • 2&5,1&8,3&6,4&7 x1
  • 2&5,4&8,1,3,7,6 x1
  • 2&5,8,1,3,4,7,6 x1
  • 2&5,8,4,1,7,3,6 x1
  • 2,1&3&4&5&6&7&8 x1
  • 2,3,5,1,4,8,7,6 x1
  • 2,5,1,8,6,7,3,4 x1
  • 2,5,3,8,1,6,7,4 x1
  • 2,5,3,8,4,7,1,6 x1
  • 2,5,7,8,3,4,6,1 x1
  • 2,5,8,1,3,4,7,6 x1
  • 2,5,8,1,6,3,4,7 x1
  • 2,5,8,3,1,6,7,4 x1
  • 2,5,8,4,1,3,6,7 x1
  • 2,5,8,4,6,1,3,7 x1
  • 2,5,8,6,7,3,1,4 x1
  • 2,6,5,8,3,4,1,7 x1
  • 2,8,1&5&6,4,3,7 x1
  • 2,8,5,6,4,1,7,3 x1
  • 3&5,1&2&4&6&7&8 x1
  • 3,2,6,7,5,8,4,1 x1
  • 3,5,1,4,2,6,7,8 x1
  • 3,5,1,8,4,2,6,7 x1
  • 3,8,2,4,1,7,6,5 x1
  • 3,8,4,5,1,2,7,6 x1
  • 4,1,3,2,5,8,6,7 x1
  • 4,1,5,8,2,3,7,6 x1
  • 4,5,1,3,2,7,8,6 x1
  • 4,5,1,3,8,6,2,7 x1
  • 4,5,2,8,1,3,6,7 x1
  • 4,5,7,1,3,8,6,2 x1
  • 4,5,8,1,3,2,6,7 x1
  • 4,8,1,5,3,2,7,6 x1
  • 4,8,2,5,1,3,6,7 x1
  • 4,8,5,1,2,7,3,6 x1
  • 5,1&2&3&4&6&7&8 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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