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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-June-23  0:17

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 18    

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 69 for Donyelle
Second -most popular
is a tie among these choices		 Allison Ranking score is 54 for Allison
Martha Ranking score is 49 for Martha
Third -most popular Heidi Ranking score is 38 for Heidi
Fourth -most popular Natalie Ranking score is 35 for Natalie
Fifth -most popular Aleksandra Ranking score is 22 for Aleksandra
Sixth -most popular Jessica Ranking score is 15 for Jessica
Seventh -most popular Joy Ranking score is 6 for Joy
Eighth -most popular Ashlee Ranking score is 0 for Ashlee

VoteFair representation Ranking

  
First-most representative choice is: Donyelle
At this level the following choices are tied (as most-popular among the voters who did not rank the previous-most representative choice at the first preference level ):
    Allison

    Natalie


Additional representation rankings cannot be identified until this tie has been resolved, such as by introducing a tie-breaking vote.

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 A winner cannot be identified because, in one of the rounds of voting, there is a tie among the choices with the fewest votes
(The runoff steps did not involve a single choice being eliminated in the first round.)
Majority None of the choices has won a majority ( more than half ) the votes.

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

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

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

Details of plurality results

  
Choice Vote count Percentage
Donyelle 4 25
Natalie 3 19
Allison 3 19
Martha 2 13
Heidi 2 13
Aleksandra 2 13
Joy 0 0
Jessica 0 0
Ashlee 0 0
(1 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: 17
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		 11
11 voter prefers Donyelle over Allison		 1
1 voter has an equal preference for Donyelle and Allison		 5
5 voters prefer Allison over Donyelle
X = Donyelle
Y = Martha		 8
8 voters prefer Donyelle over Martha		 2
2 voters have an equal preference for Donyelle and Martha		 7
7 voters prefer Martha over Donyelle
X = Donyelle
Y = Heidi		 13
13 voters prefer Donyelle over Heidi		 1
1 voter has an equal preference for Donyelle and Heidi		 3
3 voters prefer Heidi over Donyelle
X = Donyelle
Y = Natalie		 10
10 voters prefer Donyelle over Natalie		 1
1 voter has an equal preference for Donyelle and Natalie		 6
6 voters prefer Natalie over Donyelle
X = Donyelle
Y = Aleksandra		 11
11 voter prefers Donyelle over Aleksandra		 2
2 voters have an equal preference for Donyelle and Aleksandra		 4
4 voters prefer Aleksandra over Donyelle
X = Donyelle
Y = Jessica		 14
14 voters prefer Donyelle over Jessica		 1
1 voter has an equal preference for Donyelle and Jessica		 2
2 voters prefer Jessica over Donyelle
X = Donyelle
Y = Joy		 13
13 voters prefer Donyelle over Joy		 1
1 voter has an equal preference for Donyelle and Joy		 3
3 voters prefer Joy over Donyelle
X = Donyelle
Y = Ashlee		 14
14 voters prefer Donyelle over Ashlee		 2
2 voters have an equal preference for Donyelle and Ashlee		 1
1 voter prefers Ashlee over Donyelle
X = Allison
Y = Martha		 8
8 voters prefer Allison over Martha		 1
1 voter has an equal preference for Allison and Martha		 8
8 voters prefer Martha over Allison
X = Allison
Y = Heidi		 12
12 voters prefer Allison over Heidi		 1
1 voter has an equal preference for Allison and Heidi		 4
4 voters prefer Heidi over Allison
X = Allison
Y = Natalie		 9
9 voters prefer Allison over Natalie		 1
1 voter has an equal preference for Allison and Natalie		 7
7 voters prefer Natalie over Allison
X = Allison
Y = Aleksandra		 11
11 voter prefers Allison over Aleksandra		 1
1 voter has an equal preference for Allison and Aleksandra		 5
5 voters prefer Aleksandra over Allison
X = Allison
Y = Jessica		 15
15 voters prefer Allison over Jessica		 1
1 voter has an equal preference for Allison and Jessica		 1
1 voter prefers Jessica over Allison
X = Allison
Y = Joy		 14
14 voters prefer Allison over Joy		 2
2 voters have an equal preference for Allison and Joy		 1
1 voter prefers Joy over Allison
X = Allison
Y = Ashlee		 13
13 voters prefer Allison over Ashlee		 2
2 voters have an equal preference for Allison and Ashlee		 2
2 voters prefer Ashlee over Allison
X = Martha
Y = Heidi		 12
12 voters prefer Martha over Heidi		 1
1 voter has an equal preference for Martha and Heidi		 4
4 voters prefer Heidi over Martha
X = Martha
Y = Natalie		 8
8 voters prefer Martha over Natalie		 2
2 voters have an equal preference for Martha and Natalie		 7
7 voters prefer Natalie over Martha
X = Martha
Y = Aleksandra		 9
9 voters prefer Martha over Aleksandra		 3
3 voters have an equal preference for Martha and Aleksandra		 5
5 voters prefer Aleksandra over Martha
X = Martha
Y = Jessica		 11
11 voter prefers Martha over Jessica		 1
1 voter has an equal preference for Martha and Jessica		 5
5 voters prefer Jessica over Martha
X = Martha
Y = Joy		 12
12 voters prefer Martha over Joy		 1
1 voter has an equal preference for Martha and Joy		 4
4 voters prefer Joy over Martha
X = Martha
Y = Ashlee		 14
14 voters prefer Martha over Ashlee		 2
2 voters have an equal preference for Martha and Ashlee		 1
1 voter prefers Ashlee over Martha
X = Heidi
Y = Natalie		 8
8 voters prefer Heidi over Natalie		 2
2 voters have an equal preference for Heidi and Natalie		 7
7 voters prefer Natalie over Heidi
X = Heidi
Y = Aleksandra		 10
10 voters prefer Heidi over Aleksandra		 1
1 voter has an equal preference for Heidi and Aleksandra		 6
6 voters prefer Aleksandra over Heidi
X = Heidi
Y = Jessica		 9
9 voters prefer Heidi over Jessica		 2
2 voters have an equal preference for Heidi and Jessica		 6
6 voters prefer Jessica over Heidi
X = Heidi
Y = Joy		 11
11 voter prefers Heidi over Joy		 2
2 voters have an equal preference for Heidi and Joy		 4
4 voters prefer Joy over Heidi
X = Heidi
Y = Ashlee		 13
13 voters prefer Heidi over Ashlee		 1
1 voter has an equal preference for Heidi and Ashlee		 3
3 voters prefer Ashlee over Heidi
X = Natalie
Y = Aleksandra		 11
11 voter prefers Natalie over Aleksandra		 2
2 voters have an equal preference for Natalie and Aleksandra		 4
4 voters prefer Aleksandra over Natalie
X = Natalie
Y = Jessica		 12
12 voters prefer Natalie over Jessica		 2
2 voters have an equal preference for Natalie and Jessica		 3
3 voters prefer Jessica over Natalie
X = Natalie
Y = Joy		 12
12 voters prefer Natalie over Joy		 2
2 voters have an equal preference for Natalie and Joy		 3
3 voters prefer Joy over Natalie
X = Natalie
Y = Ashlee		 12
12 voters prefer Natalie over Ashlee		 1
1 voter has an equal preference for Natalie and Ashlee		 4
4 voters prefer Ashlee over Natalie
X = Aleksandra
Y = Jessica		 9
9 voters prefer Aleksandra over Jessica		 1
1 voter has an equal preference for Aleksandra and Jessica		 7
7 voters prefer Jessica over Aleksandra
X = Aleksandra
Y = Joy		 10
10 voters prefer Aleksandra over Joy		 1
1 voter has an equal preference for Aleksandra and Joy		 6
6 voters prefer Joy over Aleksandra
X = Aleksandra
Y = Ashlee		 11
11 voter prefers Aleksandra over Ashlee		 2
2 voters have an equal preference for Aleksandra and Ashlee		 4
4 voters prefer Ashlee over Aleksandra
X = Jessica
Y = Joy		 9
9 voters prefer Jessica over Joy		 2
2 voters have an equal preference for Jessica and Joy		 6
6 voters prefer Joy over Jessica
X = Jessica
Y = Ashlee		 12
12 voters prefer Jessica over Ashlee		 1
1 voter has an equal preference for Jessica and Ashlee		 4
4 voters prefer Ashlee over Jessica
X = Joy
Y = Ashlee		 8
8 voters prefer Joy over Ashlee		 2
2 voters have an equal preference for Joy and Ashlee		 7
7 voters prefer Ashlee over Joy
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 399
Number of all possible valid sequences (without ties): 362,880
First sequence:
  1. Aleksandra
  2. Allison
  3. Ashlee
  4. Donyelle
  5. Heidi
  6. Jessica
  7. Joy
  8. Martha
  9. Natalie
Last sequence:
  1. Natalie
  2. Martha
  3. Joy
  4. Jessica
  5. Heidi
  6. Donyelle
  7. Ashlee
  8. Allison
  9. Aleksandra
© 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&7&8&9 x1
  • 1,4,2,6,8,5,3,7,9 x1
  • 1,4,9,2,8,6,3,7,5 x1
  • 2,1&3&4&8,5&6&7&9 x1
  • 2,4,9,7,5,6,1,8,3 x1
  • 2,9,7,1,6,8,4,5,3 x1
  • 4,2,5,8,9,1,6,7,3 x1
  • 4,8,2,5,7,9,6,1,3 x1
  • 4,8,3,5,9,1,2,7,6 x1
  • 4,8,5,1,2,6,9,7,3 x1
  • 5,6,2&3&7,1&8&9,4 x1
  • 5,9,7,8,4,3,2,6,1 x1
  • 8,2,5,4,9,3,7,6,1 x1
  • 8,4,9,2,5,6,1,7,3 x1
  • 9,4,2,1,6,8,5,3,7 x1
  • 9,8,4,1,2,6,7,5,3 x1
  • 9,8,4,2,6,5,1,3,7 x1

© Copyright 2006 Solutions Through Innovation at www.VoteFair.org

Software version: 2006-June-17

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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