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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-June-30  0:12

Poll title:

     VoteFair poll for So You Think You Can Dance, Top 16    

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 68 for Donyelle
Second-most popular Allison Ranking score is 48 for Allison
Third-most popular Natalie Ranking score is 40 for Natalie
Fourth-most popular Heidi Ranking score is 33 for Heidi
Fifth-most popular Martha Ranking score is 24 for Martha
Sixth-most popular Jessica Ranking score is 12 for Jessica
Seventh-most popular Ashlee Ranking score is 8 for Ashlee
Eighth-most popular Aleksandra Ranking score is 0 for Aleksandra

VoteFair representation Ranking

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

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 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 Donyelle

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

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

Details of plurality results

  
Choice Vote count Percentage
Donyelle 7 41
Allison 3 18
Natalie 2 12
Martha 2 12
Aleksandra 2 12
Ashlee 1 6
Jessica 0 0
Heidi 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: 22
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		 13
13 voters prefer Donyelle over Allison		 5
5 voters have an equal preference for Donyelle and Allison		 4
4 voters prefer Allison over Donyelle
X = Donyelle
Y = Natalie		 11
11 voter prefers Donyelle over Natalie		 6
6 voters have an equal preference for Donyelle and Natalie		 5
5 voters prefer Natalie over Donyelle
X = Donyelle
Y = Heidi		 17
17 voters prefer Donyelle over Heidi		 4
4 voters have an equal preference for Donyelle and Heidi		 1
1 voter prefers Heidi over Donyelle
X = Donyelle
Y = Martha		 13
13 voters prefer Donyelle over Martha		 7
7 voters have an equal preference for Donyelle and Martha		 2
2 voters prefer Martha over Donyelle
X = Donyelle
Y = Jessica		 18
18 voters prefer Donyelle over Jessica		 4
4 voters have an equal preference for Donyelle and Jessica		 0
0 voters prefer Jessica over Donyelle
X = Donyelle
Y = Ashlee		 16
16 voters prefer Donyelle over Ashlee		 5
5 voters have an equal preference for Donyelle and Ashlee		 1
1 voter prefers Ashlee over Donyelle
X = Donyelle
Y = Aleksandra		 17
17 voters prefer Donyelle over Aleksandra		 3
3 voters have an equal preference for Donyelle and Aleksandra		 2
2 voters prefer Aleksandra over Donyelle
X = Allison
Y = Natalie		 8
8 voters prefer Allison over Natalie		 7
7 voters have an equal preference for Allison and Natalie		 7
7 voters prefer Natalie over Allison
X = Allison
Y = Heidi		 12
12 voters prefer Allison over Heidi		 5
5 voters have an equal preference for Allison and Heidi		 5
5 voters prefer Heidi over Allison
X = Allison
Y = Martha		 11
11 voter prefers Allison over Martha		 6
6 voters have an equal preference for Allison and Martha		 5
5 voters prefer Martha over Allison
X = Allison
Y = Jessica		 15
15 voters prefer Allison over Jessica		 5
5 voters have an equal preference for Allison and Jessica		 2
2 voters prefer Jessica over Allison
X = Allison
Y = Ashlee		 14
14 voters prefer Allison over Ashlee		 5
5 voters have an equal preference for Allison and Ashlee		 3
3 voters prefer Ashlee over Allison
X = Allison
Y = Aleksandra		 14
14 voters prefer Allison over Aleksandra		 4
4 voters have an equal preference for Allison and Aleksandra		 4
4 voters prefer Aleksandra over Allison
X = Natalie
Y = Heidi		 12
12 voters prefer Natalie over Heidi		 5
5 voters have an equal preference for Natalie and Heidi		 5
5 voters prefer Heidi over Natalie
X = Natalie
Y = Martha		 10
10 voters prefer Natalie over Martha		 7
7 voters have an equal preference for Natalie and Martha		 5
5 voters prefer Martha over Natalie
X = Natalie
Y = Jessica		 13
13 voters prefer Natalie over Jessica		 5
5 voters have an equal preference for Natalie and Jessica		 4
4 voters prefer Jessica over Natalie
X = Natalie
Y = Ashlee		 13
13 voters prefer Natalie over Ashlee		 5
5 voters have an equal preference for Natalie and Ashlee		 4
4 voters prefer Ashlee over Natalie
X = Natalie
Y = Aleksandra		 14
14 voters prefer Natalie over Aleksandra		 4
4 voters have an equal preference for Natalie and Aleksandra		 4
4 voters prefer Aleksandra over Natalie
X = Heidi
Y = Martha		 11
11 voter prefers Heidi over Martha		 4
4 voters have an equal preference for Heidi and Martha		 7
7 voters prefer Martha over Heidi
X = Heidi
Y = Jessica		 14
14 voters prefer Heidi over Jessica		 5
5 voters have an equal preference for Heidi and Jessica		 3
3 voters prefer Jessica over Heidi
X = Heidi
Y = Ashlee		 13
13 voters prefer Heidi over Ashlee		 5
5 voters have an equal preference for Heidi and Ashlee		 4
4 voters prefer Ashlee over Heidi
X = Heidi
Y = Aleksandra		 13
13 voters prefer Heidi over Aleksandra		 5
5 voters have an equal preference for Heidi and Aleksandra		 4
4 voters prefer Aleksandra over Heidi
X = Martha
Y = Jessica		 12
12 voters prefer Martha over Jessica		 5
5 voters have an equal preference for Martha and Jessica		 5
5 voters prefer Jessica over Martha
X = Martha
Y = Ashlee		 11
11 voter prefers Martha over Ashlee		 6
6 voters have an equal preference for Martha and Ashlee		 5
5 voters prefer Ashlee over Martha
X = Martha
Y = Aleksandra		 14
14 voters prefer Martha over Aleksandra		 4
4 voters have an equal preference for Martha and Aleksandra		 4
4 voters prefer Aleksandra over Martha
X = Jessica
Y = Ashlee		 8
8 voters prefer Jessica over Ashlee		 7
7 voters have an equal preference for Jessica and Ashlee		 7
7 voters prefer Ashlee over Jessica
X = Jessica
Y = Aleksandra		 10
10 voters prefer Jessica over Aleksandra		 6
6 voters have an equal preference for Jessica and Aleksandra		 6
6 voters prefer Aleksandra over Jessica
X = Ashlee
Y = Aleksandra		 12
12 voters prefer Ashlee over Aleksandra		 5
5 voters have an equal preference for Ashlee and Aleksandra		 5
5 voters prefer Aleksandra 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: 359
Number of all possible valid sequences (without ties): 40,320
First sequence:
  1. Aleksandra
  2. Allison
  3. Ashlee
  4. Donyelle
  5. Heidi
  6. Jessica
  7. Martha
  8. Natalie
Last sequence:
  1. Natalie
  2. Martha
  3. Jessica
  4. Heidi
  5. Donyelle
  6. Ashlee
  7. Allison
  8. 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 x3
  • 1,2&3&4&5&6&7&8 x1
  • 1,4,7,2,5,6,8,3 x1
  • 2&4&7&8,1&3&5&6 x1
  • 2&5&8,3&4&7,1&6 x1
  • 2,4&7&8,5,1,3&6 x1
  • 2,4,8,5,7,6,3,1 x2
  • 3,8,4,1&5,2,6,7 x1
  • 4,2,6,1,5,3,7,8 x1
  • 4,2,8,3,5,6,7,1 x1
  • 4,2,8,7,5,6,3,1 x1
  • 4,5,1&2&3&6&7&8 x1
  • 4,5,2,3,7,6,1,8 x1
  • 4,5,8,7,6,2,3,1 x1
  • 4,8,2,6,5,7,3,1 x1
  • 7,4,3,6,8,2,1,5 x1
  • 7,8,4,2,5,1,6,3 x1
  • 8,4,2,5,3,6,7,1 x1
  • 8,4,7,3,5,1,2,6 x1

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

Software version: 2006-June-29

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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