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VoteFair Ranking Results calculated at  www.VoteFair.org 2007-September-5  14:07

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 4    

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 79 for Benji 180 voters marked Benji as their first choice
Second-most popular Travis Ranking score is 45 for Travis 79 voters marked Travis as their first choice
Third-most popular Heidi Ranking score is 27 for Heidi 26 voters marked Heidi as their first choice
Fourth-most popular Donyelle Ranking score is 0 for Donyelle 10 voters marked Donyelle as their first choice

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
Majority Benji

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

(10 ballots ignored because they rank more than one choice as the most-preferred choice. )
Condorcet Benji
Borda count Benji
(32 ballots ignored because they rank more than one choice at the same preference level. )

Details of plurality results

  
Choice Vote count Percentage
Benji 180 61 180 voters marked Benji as their first choice
Travis 79 27 79 voters marked Travis as their first choice
Heidi 26 9 26 voters marked Heidi as their first choice
Donyelle 10 3 10 voters marked Donyelle as their first choice
(10 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: 305
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		 209
209 voters prefer Benji over Travis		 8
8 voters have an equal preference for Benji and Travis		 88
88 voters prefer Travis over Benji
X = Benji
Y = Heidi		 232
232 voters prefer Benji over Heidi		 12
12 voters have an equal preference for Benji over Heidi		 61
61 voters prefer Heidi over Benji
X = Benji
Y = Donyelle		 282
282 voters prefer Benji over Donyelle		 6
6 voters have an equal preference for Benji over Donyelle		 17
17 voters prefer Donyelle over Benji
X = Travis
Y = Heidi		 167
167 voters prefer Travis over Heidi		 20
20 voters have an equal preference for Travis over Heidi		 118
118 voters prefer Heidi over Travis
X = Travis
Y = Donyelle		 245
245 voters prefer Travis over Donyelle		 18
18 voters have an equal preference for Travis over Donyelle		 42
42 voters prefer Donyelle over Travis
X = Heidi
Y = Donyelle		 246
246 voters prefer Heidi over Donyelle		 17
17 voters have an equal preference for Heidi over Donyelle		 42
42 voters prefer Donyelle over Heidi
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,381
Number of all possible valid sequences (without ties): 24
First sequence:
  1. Donyelle
  2. Heidi
  3. Benji
  4. Travis
Last sequence:
  1. Travis
  2. Benji
  3. Heidi
  4. Donyelle
© Copyright 2007 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 x3
  • 1,2&3&4 x2
  • 1,3,2,4 x2
  • 1,3,4,2 x6
  • 2&3&4,1 x1
  • 2&3,1&4 x1
  • 2&3,1,4 x1
  • 2&4,1&3 x1
  • 2&4,3,1 x1
  • 2,3,1&4 x2
  • 2,3,1,4 x3
  • 2,3,4,1 x14
  • 2,4,3,1 x7
  • 3&4,2,1 x2
  • 3,1&2&4 x11
  • 3,1,2,4 x2
  • 3,1,4,2 x9
  • 3,2&4,1 x1
  • 3,2,1&4 x1
  • 3,2,1,4 x17
  • 3,2,4,1 x68
  • 3,4,1,2 x9
  • 3,4,2,1 x62
  • 4,1&2&3 x2
  • 4,1,2,3 x1
  • 4,1,3,2 x2
  • 4,2&3,1 x2
  • 4,2,1,3 x4
  • 4,2,3,1 x28
  • 4,3,1&2 x1
  • 4,3,1,2 x9
  • 4,3,2,1 x30

© Copyright 2007 Solutions Through Innovation at www.VoteFair.org

Software version: 2007-Apr-23

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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