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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-June-16  23:52

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 20    

Question (number 1) title:

     How well can these female dancers dance?    

The most preferred and most representative choice is:

    Aleksandra

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First -most popular Aleksandra Ranking score is 33 for Aleksandra
Second -most popular Donyelle Ranking score is 28 for Donyelle
Third -most popular
is a tie among these choices		 Joy Ranking score is 17 for Joy
Martha Ranking score is 13 for Martha
Natalie Ranking score is 11 for Natalie
Fourth -most popular Allison Ranking score is 12 for Allison
Fifth -most popular
is a tie among these choices		 Heidi Ranking score is 5 for Heidi
Jessica Ranking score is 5 for Jessica
Sixth -most popular Ashlee Ranking score is 3 for Ashlee
Seventh -most popular Erin Ranking score is 0 for Erin

VoteFair representation Ranking

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

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 on a board of directors, 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 Aleksandra
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.

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

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

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

Details of plurality results

  
Choice Vote count Percentage
Aleksandra 3 43
Joy 2 29
Donyelle 2 29
Natalie 0 0
Martha 0 0
Jessica 0 0
Heidi 0 0
Erin 0 0
Ashlee 0 0
Allison 0 0
(5 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: 12
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 = Aleksandra
Y = Donyelle		 3
3 voters prefer Aleksandra over Donyelle		 7
7 voters have an equal preference for Aleksandra and Donyelle		 2
2 voters prefer Donyelle over Aleksandra
X = Aleksandra
Y = Joy		 4
4 voters prefer Aleksandra over Joy		 5
5 voters have an equal preference for Aleksandra and Joy		 3
3 voters prefer Joy over Aleksandra
X = Aleksandra
Y = Martha		 3
3 voters prefer Aleksandra over Martha		 7
7 voters have an equal preference for Aleksandra and Martha		 2
2 voters prefer Martha over Aleksandra
X = Aleksandra
Y = Natalie		 4
4 voters prefer Aleksandra over Natalie		 7
7 voters have an equal preference for Aleksandra and Natalie		 1
1 voter prefers Natalie over Aleksandra
X = Aleksandra
Y = Allison		 4
4 voters prefer Aleksandra over Allison		 7
7 voters have an equal preference for Aleksandra and Allison		 1
1 voter prefers Allison over Aleksandra
X = Aleksandra
Y = Heidi		 4
4 voters prefer Aleksandra over Heidi		 7
7 voters have an equal preference for Aleksandra and Heidi		 1
1 voter prefers Heidi over Aleksandra
X = Aleksandra
Y = Jessica		 4
4 voters prefer Aleksandra over Jessica		 7
7 voters have an equal preference for Aleksandra and Jessica		 1
1 voter prefers Jessica over Aleksandra
X = Aleksandra
Y = Ashlee		 5
5 voters prefer Aleksandra over Ashlee		 7
7 voters have an equal preference for Aleksandra and Ashlee		 0
0 voters prefer Ashlee over Aleksandra
X = Aleksandra
Y = Erin		 5
5 voters prefer Aleksandra over Erin		 7
7 voters have an equal preference for Aleksandra and Erin		 0
0 voters prefer Erin over Aleksandra
X = Donyelle
Y = Joy		 4
4 voters prefer Donyelle over Joy		 6
6 voters have an equal preference for Donyelle and Joy		 2
2 voters prefer Joy over Donyelle
X = Donyelle
Y = Martha		 4
4 voters prefer Donyelle over Martha		 8
8 voters have an equal preference for Donyelle and Martha		 0
0 voters prefer Martha over Donyelle
X = Donyelle
Y = Natalie		 4
4 voters prefer Donyelle over Natalie		 8
8 voters have an equal preference for Donyelle and Natalie		 0
0 voters prefer Natalie over Donyelle
X = Donyelle
Y = Allison		 3
3 voters prefer Donyelle over Allison		 8
8 voters have an equal preference for Donyelle and Allison		 1
1 voter prefers Allison over Donyelle
X = Donyelle
Y = Heidi		 4
4 voters prefer Donyelle over Heidi		 8
8 voters have an equal preference for Donyelle and Heidi		 0
0 voters prefer Heidi over Donyelle
X = Donyelle
Y = Jessica		 4
4 voters prefer Donyelle over Jessica		 8
8 voters have an equal preference for Donyelle and Jessica		 0
0 voters prefer Jessica over Donyelle
X = Donyelle
Y = Ashlee		 3
3 voters prefer Donyelle over Ashlee		 8
8 voters have an equal preference for Donyelle and Ashlee		 1
1 voter prefers Ashlee over Donyelle
X = Donyelle
Y = Erin		 4
4 voters prefer Donyelle over Erin		 8
8 voters have an equal preference for Donyelle and Erin		 0
0 voters prefer Erin over Donyelle
X = Joy
Y = Martha		 3
3 voters prefer Joy over Martha		 6
6 voters have an equal preference for Joy and Martha		 3
3 voters prefer Martha over Joy
X = Joy
Y = Natalie		 3
3 voters prefer Joy over Natalie		 6
6 voters have an equal preference for Joy and Natalie		 3
3 voters prefer Natalie over Joy
X = Joy
Y = Allison		 3
3 voters prefer Joy over Allison		 6
6 voters have an equal preference for Joy and Allison		 3
3 voters prefer Allison over Joy
X = Joy
Y = Heidi		 4
4 voters prefer Joy over Heidi		 6
6 voters have an equal preference for Joy and Heidi		 2
2 voters prefer Heidi over Joy
X = Joy
Y = Jessica		 3
3 voters prefer Joy over Jessica		 6
6 voters have an equal preference for Joy and Jessica		 3
3 voters prefer Jessica over Joy
X = Joy
Y = Ashlee		 4
4 voters prefer Joy over Ashlee		 6
6 voters have an equal preference for Joy and Ashlee		 2
2 voters prefer Ashlee over Joy
X = Joy
Y = Erin		 4
4 voters prefer Joy over Erin		 6
6 voters have an equal preference for Joy and Erin		 2
2 voters prefer Erin over Joy
X = Martha
Y = Natalie		 2
2 voters prefer Martha over Natalie		 8
8 voters have an equal preference for Martha and Natalie		 2
2 voters prefer Natalie over Martha
X = Martha
Y = Allison		 3
3 voters prefer Martha over Allison		 8
8 voters have an equal preference for Martha and Allison		 1
1 voter prefers Allison over Martha
X = Martha
Y = Heidi		 3
3 voters prefer Martha over Heidi		 8
8 voters have an equal preference for Martha and Heidi		 1
1 voter prefers Heidi over Martha
X = Martha
Y = Jessica		 2
2 voters prefer Martha over Jessica		 8
8 voters have an equal preference for Martha and Jessica		 2
2 voters prefer Jessica over Martha
X = Martha
Y = Ashlee		 3
3 voters prefer Martha over Ashlee		 8
8 voters have an equal preference for Martha and Ashlee		 1
1 voter prefers Ashlee over Martha
X = Martha
Y = Erin		 3
3 voters prefer Martha over Erin		 8
8 voters have an equal preference for Martha and Erin		 1
1 voter prefers Erin over Martha
X = Natalie
Y = Allison		 2
2 voters prefer Natalie over Allison		 8
8 voters have an equal preference for Natalie and Allison		 2
2 voters prefer Allison over Natalie
X = Natalie
Y = Heidi		 3
3 voters prefer Natalie over Heidi		 8
8 voters have an equal preference for Natalie and Heidi		 1
1 voter prefers Heidi over Natalie
X = Natalie
Y = Jessica		 2
2 voters prefer Natalie over Jessica		 8
8 voters have an equal preference for Natalie and Jessica		 2
2 voters prefer Jessica over Natalie
X = Natalie
Y = Ashlee		 3
3 voters prefer Natalie over Ashlee		 8
8 voters have an equal preference for Natalie and Ashlee		 1
1 voter prefers Ashlee over Natalie
X = Natalie
Y = Erin		 2
2 voters prefer Natalie over Erin		 8
8 voters have an equal preference for Natalie and Erin		 2
2 voters prefer Erin over Natalie
X = Allison
Y = Heidi		 3
3 voters prefer Allison over Heidi		 8
8 voters have an equal preference for Allison and Heidi		 1
1 voter prefers Heidi over Allison
X = Allison
Y = Jessica		 3
3 voters prefer Allison over Jessica		 8
8 voters have an equal preference for Allison and Jessica		 1
1 voter prefers Jessica over Allison
X = Allison
Y = Ashlee		 4
4 voters prefer Allison over Ashlee		 8
8 voters have an equal preference for Allison and Ashlee		 0
0 voters prefer Ashlee over Allison
X = Allison
Y = Erin		 3
3 voters prefer Allison over Erin		 8
8 voters have an equal preference for Allison and Erin		 1
1 voter prefers Erin over Allison
X = Heidi
Y = Jessica		 2
2 voters prefer Heidi over Jessica		 8
8 voters have an equal preference for Heidi and Jessica		 2
2 voters prefer Jessica over Heidi
X = Heidi
Y = Ashlee		 3
3 voters prefer Heidi over Ashlee		 8
8 voters have an equal preference for Heidi and Ashlee		 1
1 voter prefers Ashlee over Heidi
X = Heidi
Y = Erin		 2
2 voters prefer Heidi over Erin		 8
8 voters have an equal preference for Heidi and Erin		 2
2 voters prefer Erin over Heidi
X = Jessica
Y = Ashlee		 3
3 voters prefer Jessica over Ashlee		 8
8 voters have an equal preference for Jessica and Ashlee		 1
1 voter prefers Ashlee over Jessica
X = Jessica
Y = Erin		 2
2 voters prefer Jessica over Erin		 8
8 voters have an equal preference for Jessica and Erin		 2
2 voters prefer Erin over Jessica
X = Ashlee
Y = Erin		 3
3 voters prefer Ashlee over Erin		 8
8 voters have an equal preference for Ashlee and Erin		 1
1 voter prefers Erin over Ashlee
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 146
Number of all possible valid sequences (without ties): 3,628,800
First sequence:
  1. Aleksandra
  2. Allison
  3. Ashlee
  4. Donyelle
  5. Erin
  6. Heidi
  7. Jessica
  8. Joy
  9. Martha
  10. Natalie
Last sequence:
  1. Natalie
  2. Martha
  3. Joy
  4. Jessica
  5. Heidi
  6. Erin
  7. Donyelle
  8. Ashlee
  9. Allison
  10. 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&10 x5
  • 1,2&3&4&5&6&7&8&9&10 x1
  • 1,2,3,4,5,6,7,8,9,10 x1
  • 1,4,7,10,9,8,6,2,3,5 x1
  • 4,10,9,2,8,6,7,1,3,5 x1
  • 4,9,1,5,2,10,7,6,3,8 x1
  • 8,1&2&3&4&5&6&7&9&10 x2

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

Software version: 2006-June-16

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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