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VoteFair Ranking Results calculated at  www.VoteFair.org 2011-March-10  22:56

Poll title:

     American Idol, Season 10, Top 13    

Question (number 1) title:

     Who is your favorite, second-favorite, etc., female singer?    

The most preferred and most representative choice is:

    Pia Toscano

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Pia Toscano  Ranking score is 75 for Pia Toscano 434 voters marked Pia Toscano as their first choice
Second-most popular Lauren Alaina  Ranking score is 55 for Lauren Alaina 155 voters marked Lauren Alaina as their first choice
Third-most popular Thia Megia  Ranking score is 44 for Thia Megia 153 voters marked Thia Megia as their first choice
Fourth-most popular Haley Reinhart  Ranking score is 31 for Haley Reinhart 76 voters marked Haley Reinhart as their first choice
Fifth-most popular Naima Adedapo  Ranking score is 19 for Naima Adedapo 82 voters marked Naima Adedapo as their first choice
Sixth-most popular Karen Rodriguez  Ranking score is 10 for Karen Rodriguez 11 voters marked Karen Rodriguez as their first choice
Seventh-most popular Ashthon Jones  Ranking score is 0 for Ashthon Jones 13 voters marked Ashthon Jones as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Pia Toscano

Second-most representative choice is:

Thia Megia

Third-most representative choice is:

Lauren Alaina

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 Pia Toscano
Instant runoff Pia Toscano
(4 ballots at least partially ignored because they include an equal preference at a significant step in the runoff process.
(Choice eliminated in the first round : Karen Rodriguez)
Majority None of the choices has won a majority (more than half) the votes.

(39 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Pia Toscano

(39 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Pia Toscano
Borda count Pia Toscano
(143 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Pia Toscano 434 47 434 voters marked Pia Toscano as their first choice
Lauren Alaina 155 17 155 voters marked Lauren Alaina as their first choice
Thia Megia 153 17 153 voters marked Thia Megia as their first choice
Naima Adedapo 82 9 82 voters marked Naima Adedapo as their first choice
Haley Reinhart 76 8 76 voters marked Haley Reinhart as their first choice
Ashthon Jones 13 1 13 voters marked Ashthon Jones as their first choice
Karen Rodriguez 11 1 11 voters marked Karen Rodriguez as their first choice
(39 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: 963
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 = Pia Toscano
Y = Lauren Alaina
640
640 voters prefer Pia Toscano over Lauren Alaina
60
60 voters have an equal preference for Pia Toscano over Lauren Alaina
263
263 voters prefer Lauren Alaina over Pia Toscano
X = Pia Toscano
Y = Thia Megia
649
649 voters prefer Pia Toscano over Thia Megia
51
51 voters have an equal preference for Pia Toscano and Thia Megia
263
263 voters prefer Thia Megia over Pia Toscano
X = Pia Toscano
Y = Haley Reinhart
704
704 voters prefer Pia Toscano over Haley Reinhart
61
61 voters have an equal preference for Pia Toscano over Haley Reinhart
198
198 voters prefer Haley Reinhart over Pia Toscano
X = Pia Toscano
Y = Naima Adedapo
728
728 voters prefer Pia Toscano over Naima Adedapo
59
59 voters have an equal preference for Pia Toscano over Naima Adedapo
176
176 voters prefer Naima Adedapo over Pia Toscano
X = Pia Toscano
Y = Karen Rodriguez
804
804 voters prefer Pia Toscano over Karen Rodriguez
68
68 voters have an equal preference for Pia Toscano over Karen Rodriguez
91
91 voters prefer Karen Rodriguez over Pia Toscano
X = Pia Toscano
Y = Ashthon Jones
812
812 voters prefer Pia Toscano over Ashthon Jones
62
62 voters have an equal preference for Pia Toscano over Ashthon Jones
89
89 voters prefer Ashthon Jones over Pia Toscano
X = Lauren Alaina
Y = Thia Megia
476
476 voters prefer Lauren Alaina over Thia Megia
57
57 voters have an equal preference for Lauren Alaina and Thia Megia
430
430 voters prefer Thia Megia over Lauren Alaina
X = Lauren Alaina
Y = Haley Reinhart
590
590 voters prefer Lauren Alaina over Haley Reinhart
74
74 voters have an equal preference for Lauren Alaina over Haley Reinhart
299
299 voters prefer Haley Reinhart over Lauren Alaina
X = Lauren Alaina
Y = Naima Adedapo
623
623 voters prefer Lauren Alaina over Naima Adedapo
62
62 voters have an equal preference for Lauren Alaina and Naima Adedapo
278
278 voters prefer Naima Adedapo over Lauren Alaina
X = Lauren Alaina
Y = Karen Rodriguez
712
712 voters prefer Lauren Alaina over Karen Rodriguez
72
72 voters have an equal preference for Lauren Alaina over Karen Rodriguez
179
179 voters prefer Karen Rodriguez over Lauren Alaina
X = Lauren Alaina
Y = Ashthon Jones
753
753 voters prefer Lauren Alaina over Ashthon Jones
70
70 voters have an equal preference for Lauren Alaina over Ashthon Jones
140
140 voters prefer Ashthon Jones over Lauren Alaina
X = Thia Megia
Y = Haley Reinhart
531
531 voters prefer Thia Megia over Haley Reinhart
60
60 voters have an equal preference for Thia Megia over Haley Reinhart
372
372 voters prefer Haley Reinhart over Thia Megia
X = Thia Megia
Y = Naima Adedapo
603
603 voters prefer Thia Megia over Naima Adedapo
61
61 voters have an equal preference for Thia Megia over Naima Adedapo
299
299 voters prefer Naima Adedapo over Thia Megia
X = Thia Megia
Y = Karen Rodriguez
673
673 voters prefer Thia Megia over Karen Rodriguez
73
73 voters have an equal preference for Thia Megia over Karen Rodriguez
217
217 voters prefer Karen Rodriguez over Thia Megia
X = Thia Megia
Y = Ashthon Jones
728
728 voters prefer Thia Megia over Ashthon Jones
71
71 voters have an equal preference for Thia Megia over Ashthon Jones
164
164 voters prefer Ashthon Jones over Thia Megia
X = Haley Reinhart
Y = Naima Adedapo
515
515 voters prefer Haley Reinhart over Naima Adedapo
78
78 voters have an equal preference for Haley Reinhart and Naima Adedapo
370
370 voters prefer Naima Adedapo over Haley Reinhart
X = Haley Reinhart
Y = Karen Rodriguez
573
573 voters prefer Haley Reinhart over Karen Rodriguez
82
82 voters have an equal preference for Haley Reinhart and Karen Rodriguez
308
308 voters prefer Karen Rodriguez over Haley Reinhart
X = Haley Reinhart
Y = Ashthon Jones
681
681 voters prefer Haley Reinhart over Ashthon Jones
88
88 voters have an equal preference for Haley Reinhart over Ashthon Jones
194
194 voters prefer Ashthon Jones over Haley Reinhart
X = Naima Adedapo
Y = Karen Rodriguez
494
494 voters prefer Naima Adedapo over Karen Rodriguez
90
90 voters have an equal preference for Naima Adedapo over Karen Rodriguez
379
379 voters prefer Karen Rodriguez over Naima Adedapo
X = Naima Adedapo
Y = Ashthon Jones
592
592 voters prefer Naima Adedapo over Ashthon Jones
96
96 voters have an equal preference for Naima Adedapo over Ashthon Jones
275
275 voters prefer Ashthon Jones over Naima Adedapo
X = Karen Rodriguez
Y = Ashthon Jones
566
566 voters prefer Karen Rodriguez over Ashthon Jones
101
101 voters have an equal preference for Karen Rodriguez over Ashthon Jones
296
296 voters prefer Ashthon Jones over Karen Rodriguez
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 13,447
Number of all possible valid sequences (without ties): 5,040
First sequence:
  1. Ashthon Jones
  2. Haley Reinhart
  3. Karen Rodriguez
  4. Lauren Alaina
  5. Naima Adedapo
  6. Pia Toscano
  7. Thia Megia
Last sequence:
  1. Thia Megia
  2. Pia Toscano
  3. Naima Adedapo
  4. Lauren Alaina
  5. Karen Rodriguez
  6. Haley Reinhart
  7. Ashthon Jones
© Copyright 2009 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 x30
  • 1&2,3&4&5&6&7 x1
  • 1&2,4,7,3&6,5 x1
  • 1&7,2&3&4&5&6 x1
  • 1,2,3,4,5,6,7 x1
  • 1,2,3,5,7,6,4 x1
  • 1,2,6,4,7,3&5 x1
  • 1,3,5,2&4&6&7 x1
  • 1,4,5,2&3&6&7 x1
  • 1,5,3,6,7,2,4 x1
  • 1,5,3,7,6,4,2 x1
  • 1,5,7,3,2,6,4 x1
  • 1,5,7,6,4,3,2 x1
  • 1,6,5,2&3&4&7 x1
  • 1,6,5,3,7,2,4 x1
  • 1,6,5,7,3,4,2 x1
  • 1,7,5,2,6,3,4 x1
  • 2&4&6,1&3&5&7 x1
  • 2&4&7,1&3&5&6 x1
  • 2&4,1&3&5&6&7 x1
  • 2,1&3&4&5&6&7 x3
  • 2,1,7,6,3,4,5 x1
  • 2,3,1,4,7,6,5 x1
  • 2,3,4,7,6,5,1 x1
  • 2,3,6,7,1,5,4 x1
  • 2,4,1&3&5&6&7 x1
  • 2,4,5,3,6,7,1 x1
  • 2,4,5,6,3,1,7 x1
  • 2,4,5,6,3,7,1 x1
  • 2,4,6,3,5,1,7 x1
  • 2,4,6,5,3,1,7 x1
  • 2,4,6,5,7,3,1 x1
  • 2,4,6,7,1,3,5 x1
  • 2,4,6,7,3,1,5 x1
  • 2,4,6,7,3,5,1 x1
  • 2,4,6,7,5,3,1 x1
  • 2,4,7,3,5,6,1 x1
  • 2,4,7,5,6,3,1 x1
  • 2,4,7,6,1&3,5 x1
  • 2,4,7,6,1,3,5 x1
  • 2,5,4,7,6,3,1 x1
  • 2,5,6,7,3,4,1 x1
  • 2,5,6,7,4,3,1 x1
  • 2,5,7,1,4,3,6 x1
  • 2,5,7,4,6,3,1 x1
  • 2,6,1&3&4&5&7 x2
  • 2,6,1,3&5,4&7 x1
  • 2,6,3,4,1,7,5 x2
  • 2,6,3,5,7,4,1 x1
  • 2,6,3,7,4,1,5 x1
  • [Remaining ballots not listed]

© Copyright 2009 Solutions Through Innovation at www.VoteFair.org

Software version: 2011-Mar-10

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.

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