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VoteFair Ranking Results calculated at  www.VoteFair.org 2010-May-12  22:25

Poll title:

     American Idol, Season 9, Top 4    

Question (number 1) title:

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

The most preferred and most representative choice is:

    Crystal Bowersox

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Crystal Bowersox  Ranking score is 73 for Crystal Bowersox 362 voters marked Crystal Bowersox as their first choice
Second-most popular Lee DeWyze  Ranking score is 50 for Lee DeWyze 251 voters marked Lee DeWyze as their first choice
Third-most popular Casey James  Ranking score is 23 for Casey James 167 voters marked Casey James as their first choice
Fourth-most popular Michael Lynche  Ranking score is 0 for Michael Lynche 14 voters marked Michael Lynche as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Crystal Bowersox

Second-most representative choice is:

Lee DeWyze

Third-most representative choice is:

Casey James

Fourth-most representative choice is:

Michael Lynche

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 Crystal Bowersox
Instant runoff Crystal Bowersox
(7 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 : Michael Lynche)
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 Crystal Bowersox

(5 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Crystal Bowersox
Borda count Crystal Bowersox
(28 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Crystal Bowersox 362 46 362 voters marked Crystal Bowersox as their first choice
Lee DeWyze 251 32 251 voters marked Lee DeWyze as their first choice
Casey James 167 21 167 voters marked Casey James as their first choice
Michael Lynche 14 2 14 voters marked Michael Lynche as their first choice
(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: 799
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 = Crystal Bowersox
Y = Lee DeWyze
474
474 voters prefer Crystal Bowersox over Lee DeWyze
11
11 voters have an equal preference for Crystal Bowersox and Lee DeWyze
314
314 voters prefer Lee DeWyze over Crystal Bowersox
X = Crystal Bowersox
Y = Casey James
560
560 voters prefer Crystal Bowersox over Casey James
5
5 voters have an equal preference for Crystal Bowersox and Casey James
234
234 voters prefer Casey James over Crystal Bowersox
X = Crystal Bowersox
Y = Michael Lynche
716
716 voters prefer Crystal Bowersox over Michael Lynche
9
9 voters have an equal preference for Crystal Bowersox and Michael Lynche
74
74 voters prefer Michael Lynche over Crystal Bowersox
X = Lee DeWyze
Y = Casey James
534
534 voters prefer Lee DeWyze over Casey James
8
8 voters have an equal preference for Lee DeWyze and Casey James
257
257 voters prefer Casey James over Lee DeWyze
X = Lee DeWyze
Y = Michael Lynche
663
663 voters prefer Lee DeWyze over Michael Lynche
16
16 voters have an equal preference for Lee DeWyze and Michael Lynche
120
120 voters prefer Michael Lynche over Lee DeWyze
X = Casey James
Y = Michael Lynche
563
563 voters prefer Casey James over Michael Lynche
9
9 voters have an equal preference for Casey James and Michael Lynche
227
227 voters prefer Michael Lynche over Casey James
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 3,510
Number of all possible valid sequences (without ties): 24
First sequence:
  1. Crystal Bowersox
  2. Lee DeWyze
  3. Casey James
  4. Michael Lynche
Last sequence:
  1. Michael Lynche
  2. Casey James
  3. Lee DeWyze
  4. Crystal Bowersox
© 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 x1
  • 1&2,3&4 x1
  • 1&2,3,4 x2
  • 1,2&3&4 x4
  • 1,2&3,4 x3
  • 1,2,3,4 x170
  • 1,2,4,3 x72
  • 1,3,2&4 x2
  • 1,3,2,4 x40
  • 1,3,4,2 x24
  • 1,4,2,3 x27
  • 1,4,3,2 x20
  • 2&4,3,1 x1
  • 2,1&3&4 x1
  • 2,1&3,4 x1
  • 2,1,3&4 x2
  • 2,1,3,4 x108
  • 2,1,4,3 x71
  • 2,3,1,4 x31
  • 2,3,4,1 x15
  • 2,4,1&3 x2
  • 2,4,1,3 x4
  • 2,4,3,1 x16
  • 3,1&2&4 x7
  • 3,1,2&4 x1
  • 3,1,2,4 x73
  • 3,1,4,2 x22
  • 3,2,1,4 x42
  • 3,2,4,1 x9
  • 3,4,1,2 x8
  • 3,4,2,1 x5
  • 4,1,2,3 x5
  • 4,2,1,3 x5
  • 4,3,1,2 x3
  • 4,3,2,1 x1

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

Software version: 2010-May-12

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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