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VoteFair Ranking Results calculated at  www.VoteFair.org 2014-May-15  16:07

Poll title:

     American Idol, Season 13, Top 3    

Question (number 1) title:

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

The most preferred and most representative choice is:

    Jena Irene

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Jena Irene Ranking score is 58 for Jena Irene 180 voters marked Jena Irene as their first choice
Second-most popular Alex Preston Ranking score is 27 for Alex Preston 146 voters marked Alex Preston as their first choice
Third-most popular Caleb Johnson Ranking score is 0 for Caleb Johnson 103 voters marked Caleb Johnson as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Jena Irene

Second-most representative choice is:

Alex Preston

Third-most representative choice is:

Caleb Johnson

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 Jena Irene
Instant runoff Jena Irene
(2 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 : Caleb Johnson)
Majority None of the choices has won a majority (more than half) the votes.

(10 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Jena Irene

(10 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Jena Irene
Borda count Jena Irene
(21 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Jena Irene 180 42 180 voters marked Jena Irene as their first choice
Alex Preston 146 34 146 voters marked Alex Preston as their first choice
Caleb Johnson 103 24 103 voters marked Caleb Johnson as their first choice
(10 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: 439
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 = Jena Irene
Y = Alex Preston		 243
243 voters prefer Jena Irene over Alex Preston		 11
11 voters have an equal preference for Jena Irene over Alex Preston		 185
185 voters prefer Alex Preston over Jena Irene
X = Jena Irene
Y = Caleb Johnson		 267
267 voters prefer Jena Irene over Caleb Johnson		 17
17 voters have an equal preference for Jena Irene over Caleb Johnson		 155
155 voters prefer Caleb Johnson over Jena Irene
X = Alex Preston
Y = Caleb Johnson		 239
239 voters prefer Alex Preston over Caleb Johnson		 11
11 voters have an equal preference for Alex Preston and Caleb Johnson		 189
189 voters prefer Caleb Johnson over Alex Preston
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 749
Number of all possible valid sequences (without ties): 6
First sequence:
  1. Alex Preston
  2. Caleb Johnson
  3. Jena Irene
Last sequence:
  1. Jena Irene
  2. Caleb Johnson
  3. Alex Preston
© 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 x9
  • 1,2&3 x7
  • 1,2,3 x52
  • 1,3,2 x87
  • 2&3,1 x1
  • 2,1&3 x2
  • 2,1,3 x39
  • 2,3,1 x62
  • 3,1&2 x2
  • 3,1,2 x93
  • 3,2,1 x85

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

Software version: 2014-May-15

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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