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VoteFair Ranking Results calculated at  www.VoteFair.org 2008-April-23  17:16

Poll title:

     American Idol Season 7, Top 6    

Question (number 1) title:

     Who is your favorite, second-favorite, etc., American Idol singer?    

The most preferred and most representative choice is:

    David Archuleta

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular David Archuleta Ranking score is 66 for David Archuleta 776 voters marked David Archuleta as their first choice
Second-most popular David Cook Ranking score is 51 for David Cook 454 voters marked David Cook as their first choice
Third-most popular Jason Castro Ranking score is 37 for Jason Castro 550 voters marked Jason Castro as their first choice
Fourth-most popular Carly Smithson Ranking score is 23 for Carly Smithson 74 voters marked Carly Smithson as their first choice
Fifth-most popular Brooke White Ranking score is 11 for Brooke White 100 voters marked Brooke White as their first choice
Sixth-most popular Syesha Mercado Ranking score is 0 for Syesha Mercado 40 voters marked Syesha Mercado as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

David Archuleta

Second-most representative choice is:

Jason Castro

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 David Archuleta
Instant runoff David Archuleta
(13 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 : Syesha Mercado)
Majority None of the choices has won a majority (more than half) the votes.

(15 ballots ignored because they rank more than one choice as the most-preferred choice. )
Plurality David Archuleta

(15 ballots ignored because they rank more than one choice as the most-preferred choice. )
Condorcet David Archuleta
Borda count David Archuleta
(178 ballots ignored because they rank more than one choice at the same preference level. )

Details of plurality results

  
Choice Vote count Percentage
David Archuleta 776 39 776 voters marked David Archuleta as their first choice
Jason Castro 550 28 550 voters marked Jason Castro as their first choice
David Cook 454 23 454 voters marked David Cook as their first choice
Brooke White 100 5 100 voters marked Brooke White as their first choice
Carly Smithson 74 4 74 voters marked Carly Smithson as their first choice
Syesha Mercado 40 2 40 voters marked Syesha Mercado as their first choice
(15 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: 2,009
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 = David Archuleta
Y = David Cook		 1,021
1,021 voter prefer David Archuleta over David Cook		 65
65 voters have an equal preference for David Archuleta and David Cook		 923
923 voters prefer David Cook over David Archuleta
X = David Archuleta
Y = Jason Castro		 1,187
1,187 voter prefer David Archuleta over Jason Castro		 16
16 voters have an equal preference for David Archuleta and Jason Castro		 806
806 voters prefer Jason Castro over David Archuleta
X = David Archuleta
Y = Carly Smithson		 1,391
1,391 voter prefer David Archuleta over Carly Smithson		 62
62 voters have an equal preference for David Archuleta over Carly Smithson		 556
556 voters prefer Carly Smithson over David Archuleta
X = David Archuleta
Y = Brooke White		 1,467
1,467 voter prefer David Archuleta over Brooke White		 57
57 voters have an equal preference for David Archuleta over Brooke White		 485
485 voters prefer Brooke White over David Archuleta
X = David Archuleta
Y = Syesha Mercado		 1,541
1,541 voter prefer David Archuleta over Syesha Mercado		 63
63 voters have an equal preference for David Archuleta over Syesha Mercado		 405
405 voters prefer Syesha Mercado over David Archuleta
X = David Cook
Y = Jason Castro		 1,038
1,038 voter prefer David Cook over Jason Castro		 63
63 voters have an equal preference for David Cook and Jason Castro		 908
908 voters prefer Jason Castro over David Cook
X = David Cook
Y = Carly Smithson		 1,322
1,322 voter prefer David Cook over Carly Smithson		 106
106 voters have an equal preference for David Cook over Carly Smithson		 581
581 voters prefer Carly Smithson over David Cook
X = David Cook
Y = Brooke White		 1,319
1,319 voter prefer David Cook over Brooke White		 98
98 voters have an equal preference for David Cook over Brooke White		 592
592 voters prefer Brooke White over David Cook
X = David Cook
Y = Syesha Mercado		 1,475
1,475 voter prefer David Cook over Syesha Mercado		 102
102 voters have an equal preference for David Cook over Syesha Mercado		 432
432 voters prefer Syesha Mercado over David Cook
X = Jason Castro
Y = Carly Smithson		 1,100
1,100 voter prefer Jason Castro over Carly Smithson		 69
69 voters have an equal preference for Jason Castro over Carly Smithson		 840
840 voters prefer Carly Smithson over Jason Castro
X = Jason Castro
Y = Brooke White		 1,228
1,228 voter prefer Jason Castro over Brooke White		 69
69 voters have an equal preference for Jason Castro over Brooke White		 712
712 voters prefer Brooke White over Jason Castro
X = Jason Castro
Y = Syesha Mercado		 1,345
1,345 voter prefer Jason Castro over Syesha Mercado		 74
74 voters have an equal preference for Jason Castro over Syesha Mercado		 590
590 voters prefer Syesha Mercado over Jason Castro
X = Carly Smithson
Y = Brooke White		 1,073
1,073 voter prefer Carly Smithson over Brooke White		 123
123 voters have an equal preference for Carly Smithson over Brooke White		 813
813 voters prefer Brooke White over Carly Smithson
X = Carly Smithson
Y = Syesha Mercado		 1,257
1,257 voter prefer Carly Smithson over Syesha Mercado		 126
126 voters have an equal preference for Carly Smithson and Syesha Mercado		 626
626 voters prefer Syesha Mercado over Carly Smithson
X = Brooke White
Y = Syesha Mercado		 1,138
1,138 voter prefer Brooke White over Syesha Mercado		 123
123 voters have an equal preference for Brooke White and Syesha Mercado		 748
748 voters prefer Syesha Mercado over Brooke White
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 18,902
Number of all possible valid sequences (without ties): 720
First sequence:
  1. Brooke White
  2. Carly Smithson
  3. Syesha Mercado
  4. David Archuleta
  5. David Cook
  6. Jason Castro
Last sequence:
  1. Jason Castro
  2. David Cook
  3. David Archuleta
  4. Syesha Mercado
  5. Carly Smithson
  6. Brooke White
© Copyright 2007 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 x1
  • 1&2&4,3,6,5 x1
  • 1&2,3,4&5&6 x1
  • 1,2&3&4&5&6 x4
  • 1,2,3&4&5&6 x1
  • 1,2,3,4,5,6 x2
  • 1,2,3,5,6,4 x1
  • 1,2,4,3,5,6 x1
  • 1,2,5,4,3,6 x1
  • 1,2,5,4,6,3 x1
  • 1,2,5,6,4,3 x1
  • 1,2,6,4,5,3 x1
  • 1,3,2,4,5,6 x1
  • 1,3,2,4,6,5 x1
  • 1,3,2,5,6,4 x1
  • 1,3,2,6,5,4 x1
  • 1,3,4,5,6,2 x1
  • 1,3,5,6,4,2 x1
  • 1,4&5,6,2&3 x1
  • 1,4,2,3,6,5 x1
  • 1,4,2,5,6,3 x1
  • 1,4,2,6,5,3 x3
  • 1,4,3,2,5,6 x2
  • 1,4,3,2,6,5 x1
  • 1,4,3,5,2,6 x1
  • 1,4,3,5,6,2 x1
  • 1,4,5,2,3,6 x3
  • 1,4,5,2,6,3 x2
  • 1,4,5,3,2,6 x2
  • 1,4,5,3,6,2 x1
  • 1,4,5,6,2,3 x2
  • 1,4,5,6,3,2 x7
  • 1,4,6,5,3,2 x4
  • 1,5,2,3,4,6 x1
  • 1,5,2,3,6,4 x4
  • 1,5,2,4,3,6 x3
  • 1,5,2,4,6,3 x1
  • 1,5,3,2,4,6 x1
  • 1,5,3,2,6,4 x1
  • 1,5,4,3,2,6 x1
  • 1,5,4,6,2,3 x2
  • 1,5,4,6,3,2 x6
  • 1,5,6,2&4,3 x1
  • 1,5,6,2,3,4 x2
  • 1,5,6,2,4,3 x2
  • 1,5,6,4,2,3 x2
  • 1,6,2,3,5,4 x1
  • 1,6,2,4,5,3 x3
  • 1,6,2,5,4,3 x1
  • 1,6,3,5,2,4 x2
  • [Remaining ballots not listed]

© Copyright 2007 Solutions Through Innovation at www.VoteFair.org

Software version: 2007-Nov-3

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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