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VoteFair Ranking Results calculated at  www.VoteFair.org 2008-May-7  17:59

Poll title:

     American Idol Season 7, Top 4    

Question (number 1) title:

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

The most preferred and most representative choice is:

    David Cook

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular David Cook Ranking score is 57 for David Cook 811 voters marked David Cook as their first choice
Second-most popular David Archuleta Ranking score is 44 for David Archuleta 1248 voters marked David Archuleta as their first choice
Third-most popular Jason Castro Ranking score is 16 for Jason Castro 928 voters marked Jason Castro as their first choice
Fourth-most popular Syesha Mercado Ranking score is 0 for Syesha Mercado 100 voters marked Syesha Mercado as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

David Cook

Second-most representative choice is:

David Archuleta

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 Cook
Instant runoff David Archuleta
(22 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.

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

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

Details of plurality results

  
Choice Vote count Percentage
David Archuleta 1,248 40 1248 voters marked David Archuleta as their first choice
Jason Castro 928 30 928 voters marked Jason Castro as their first choice
David Cook 811 26 811 voters marked David Cook as their first choice
Syesha Mercado 100 3 100 voters marked Syesha Mercado as their first choice
(22 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: 3,109
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 Cook
Y = David Archuleta		 1,547
1,547 voter prefer David Cook over David Archuleta		 61
61 voters have an equal preference for David Cook over David Archuleta		 1,501
1,501 voter prefer David Archuleta over David Cook
X = David Cook
Y = Jason Castro		 1,646
1,646 voter prefer David Cook over Jason Castro		 83
83 voters have an equal preference for David Cook and Jason Castro		 1,380
1,380 voter prefer Jason Castro over David Cook
X = David Cook
Y = Syesha Mercado		 2,111
2,111 voters prefer David Cook over Syesha Mercado		 111
111 voters have an equal preference for David Cook over Syesha Mercado		 887
887 voters prefer Syesha Mercado over David Cook
X = David Archuleta
Y = Jason Castro		 1,898
1,898 voter prefer David Archuleta over Jason Castro		 31
31 voters have an equal preference for David Archuleta and Jason Castro		 1,180
1,180 voter prefer Jason Castro over David Archuleta
X = David Archuleta
Y = Syesha Mercado		 2,240
2,240 voters prefer David Archuleta over Syesha Mercado		 80
80 voters have an equal preference for David Archuleta over Syesha Mercado		 789
789 voters prefer Syesha Mercado over David Archuleta
X = Jason Castro
Y = Syesha Mercado		 1,517
1,517 voter prefer Jason Castro over Syesha Mercado		 92
92 voters have an equal preference for Jason Castro over Syesha Mercado		 1,500
1,500 voter prefer Syesha Mercado over Jason Castro
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 10,959
Number of all possible valid sequences (without ties): 24
First sequence:
  1. Syesha Mercado
  2. David Archuleta
  3. David Cook
  4. Jason Castro
Last sequence:
  1. Jason Castro
  2. David Cook
  3. David Archuleta
  4. Syesha Mercado
© 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 x7
  • 1&2&3,4 x1
  • 1&2,3&4 x1
  • 1&2,3,4 x2
  • 1&3,2&4 x2
  • 1&3,2,4 x1
  • 1&3,4,2 x1
  • 1,2&3&4 x2
  • 1,2&3,4 x1
  • 1,2&4,3 x1
  • 1,2,3&4 x1
  • 1,2,3,4 x37
  • 1,2,4,3 x5
  • 1,3,2&4 x1
  • 1,3,2,4 x38
  • 1,3,4,2 x7
  • 1,4,2,3 x3
  • 1,4,3,2 x4
  • 2&3,1&4 x1
  • 2&3,1,4 x4
  • 2&4,1,3 x1
  • 2,1&3&4 x53
  • 2,1&3,4 x1
  • 2,1&4,3 x4
  • 2,1,3&4 x18
  • 2,1,3,4 x227
  • 2,1,4,3 x245
  • 2,3,1&4 x6
  • 2,3,1,4 x364
  • 2,3,4,1 x141
  • 2,4,1&3 x2
  • 2,4,1,3 x115
  • 2,4,3,1 x72
  • 3&4,1,2 x1
  • 3,1&2&4 x16
  • 3,1,2,4 x184
  • 3,1,4,2 x82
  • 3,2&4,1 x1
  • 3,2,1&4 x5
  • 3,2,1,4 x267
  • 3,2,4,1 x102
  • 3,4,1&2 x1
  • 3,4,1,2 x70
  • 3,4,2,1 x83
  • 4,1&2&3 x42
  • 4,1&2,3 x1
  • 4,1,2&3 x2
  • 4,1,2,3 x72
  • 4,1,3,2 x68
  • 4,2&3,1 x1
  • [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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