Done viewing results, go back to VoteFair's They Can Dance page

 

  

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 1) title:

     How well can these female dancers dance?    

The most preferred and most representative choice is:

    Donyelle

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Donyelle Ranking score is 72 for Donyelle
Second-most popular Allison Ranking score is 61 for Allison
Third-most popular Heidi Ranking score is 42 for Heidi
Fourth-most popular Natalie Ranking score is 27 for Natalie
Fifth-most popular Martha Ranking score is 13 for Martha
Sixth-most popular Ashlee Ranking score is 0 for Ashlee

VoteFair representation Ranking

  
First-most representative choice is: Donyelle
Second-most representative choice is: Allison

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 Donyelle
Instant runoff Donyelle
(Choice eliminated in the first round: Ashlee)
Majority None of the choices has won a majority ( more than half ) the votes.

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

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

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

Details of plurality results

  
Choice Vote count Percentage
Donyelle 10 38
Allison 9 35
Martha 4 15
Heidi 2 8
Natalie 1 4
Ashlee 0 0
(3 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: 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 = Donyelle
Y = Allison		 15
15 voters prefer Donyelle over Allison		 3
3 voters have an equal preference for Donyelle and Allison		 11
11 voter prefers Allison over Donyelle
X = Donyelle
Y = Heidi		 21
21 voter prefers Donyelle over Heidi		 3
3 voters have an equal preference for Donyelle and Heidi		 5
5 voters prefer Heidi over Donyelle
X = Donyelle
Y = Natalie		 22
22 voters prefer Donyelle over Natalie		 3
3 voters have an equal preference for Donyelle and Natalie		 4
4 voters prefer Natalie over Donyelle
X = Donyelle
Y = Martha		 21
21 voter prefers Donyelle over Martha		 4
4 voters have an equal preference for Donyelle and Martha		 4
4 voters prefer Martha over Donyelle
X = Donyelle
Y = Ashlee		 26
26 voters prefer Donyelle over Ashlee		 3
3 voters have an equal preference for Donyelle and Ashlee		 0
0 voters prefer Ashlee over Donyelle
X = Allison
Y = Heidi		 21
21 voter prefers Allison over Heidi		 3
3 voters have an equal preference for Allison and Heidi		 5
5 voters prefer Heidi over Allison
X = Allison
Y = Natalie		 22
22 voters prefer Allison over Natalie		 3
3 voters have an equal preference for Allison and Natalie		 4
4 voters prefer Natalie over Allison
X = Allison
Y = Martha		 21
21 voter prefers Allison over Martha		 3
3 voters have an equal preference for Allison and Martha		 5
5 voters prefer Martha over Allison
X = Allison
Y = Ashlee		 24
24 voters prefer Allison over Ashlee		 3
3 voters have an equal preference for Allison and Ashlee		 2
2 voters prefer Ashlee over Allison
X = Heidi
Y = Natalie		 20
20 voters prefer Heidi over Natalie		 3
3 voters have an equal preference for Heidi and Natalie		 6
6 voters prefer Natalie over Heidi
X = Heidi
Y = Martha		 17
17 voters prefer Heidi over Martha		 3
3 voters have an equal preference for Heidi and Martha		 9
9 voters prefer Martha over Heidi
X = Heidi
Y = Ashlee		 24
24 voters prefer Heidi over Ashlee		 3
3 voters have an equal preference for Heidi and Ashlee		 2
2 voters prefer Ashlee over Heidi
X = Natalie
Y = Martha		 15
15 voters prefer Natalie over Martha		 3
3 voters have an equal preference for Natalie and Martha		 11
11 voter prefers Martha over Natalie
X = Natalie
Y = Ashlee		 24
24 voters prefer Natalie over Ashlee		 3
3 voters have an equal preference for Natalie and Ashlee		 2
2 voters prefer Ashlee over Natalie
X = Martha
Y = Ashlee		 19
19 voters prefer Martha over Ashlee		 3
3 voters have an equal preference for Martha and Ashlee		 7
7 voters prefer Ashlee over Martha
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 312
Number of all possible valid sequences (without ties): 720
First sequence:
  1. Allison
  2. Ashlee
  3. Donyelle
  4. Heidi
  5. Martha
  6. Natalie
Last sequence:
  1. Natalie
  2. Martha
  3. Heidi
  4. Donyelle
  5. Ashlee
  6. 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&2&3&4&5&6 x3
  • 1,3,4,5,6,2 x2
  • 1,3,4,6,5,2 x1
  • 1,3,5,4,6,2 x1
  • 1,4,3,6,5,2 x2
  • 1,4,6,3,5,2 x1
  • 1,6,3&5,4,2 x1
  • 1,6,3,4,2,5 x1
  • 3,1,2,5,4,6 x1
  • 3,1,4,5,6,2 x2
  • 3,1,4,6,2,5 x1
  • 3,1,4,6,5,2 x1
  • 3,1,6,5,4,2 x1
  • 3,4,1,6,2,5 x1
  • 3,4,6,2,5,1 x1
  • 3,6,1,4,5,2 x2
  • 4,1,3,5,2,6 x1
  • 4,1,3,6,2,5 x1
  • 5,3,1,4,6,2 x3
  • 5,3,4,1,6,2 x1
  • 6,3,2,1,5,4 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

 

Done viewing results, go back to VoteFair's They Can Dance page

Top of Page

© Copyright 2007 Solutions Through Innovation at www.VoteFair.org (Email address, non-machine-readable to reduce spam)