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VoteFair Ranking Results calculated at  www.VoteFair.org 2010-May-19  23:04

Poll title:

     American Idol, Season 9, Top 3    

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 61 for Crystal Bowersox 370 voters marked Crystal Bowersox as their first choice
Second-most popular Lee DeWyze Ranking score is 35 for Lee DeWyze 364 voters marked Lee DeWyze as their first choice
Third-most popular Casey James Ranking score is 0 for Casey James 193 voters marked Casey James 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

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
(5 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 : Casey James)
Majority None of the choices has won a majority (more than half) the votes.

(7 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Crystal Bowersox

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

Details of plurality results

  
Choice Vote count Percentage
Crystal Bowersox 370 40 370 voters marked Crystal Bowersox as their first choice
Lee DeWyze 364 39 364 voters marked Lee DeWyze as their first choice
Casey James 193 21 193 voters marked Casey James as their first choice
(7 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: 934
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		 491
491 voters prefer Crystal Bowersox over Lee DeWyze		 11
11 voters have an equal preference for Crystal Bowersox and Lee DeWyze		 432
432 voters prefer Lee DeWyze over Crystal Bowersox
X = Crystal Bowersox
Y = Casey James		 643
643 voters prefer Crystal Bowersox over Casey James		 10
10 voters have an equal preference for Crystal Bowersox and Casey James		 281
281 voters prefer Casey James over Crystal Bowersox
X = Lee DeWyze
Y = Casey James		 645
645 voters prefer Lee DeWyze over Casey James		 11
11 voters have an equal preference for Lee DeWyze and Casey James		 278
278 voters prefer Casey James over Lee DeWyze
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,779
Number of all possible valid sequences (without ties): 6
First sequence:
  1. Crystal Bowersox
  2. Lee DeWyze
  3. Casey James
Last sequence:
  1. Casey James
  2. Lee DeWyze
  3. 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 x3
  • 1&2,3 x3
  • 1,2&3 x7
  • 1,2,3 x278
  • 1,3,2 x85
  • 2&3,1 x1
  • 2,1&3 x7
  • 2,1,3 x270
  • 2,3,1 x87
  • 3,1&2 x5
  • 3,1,2 x121
  • 3,2,1 x67

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

Software version: 2010-May-19

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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