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VoteFair Ranking Results calculated at  www.VoteFair.org 2014-May-8  18:05

Poll title:

     American Idol, Season 13, Top 4    

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 60 for Jena Irene 108 voters marked Jena Irene as their first choice
Second-most popular Alex Preston  Ranking score is 35 for Alex Preston 71 voters marked Alex Preston as their first choice
Third-most popular Caleb Johnson  Ranking score is 18 for Caleb Johnson 60 voters marked Caleb Johnson as their first choice
Fourth-most popular Jessica Meuse  Ranking score is 0 for Jessica Meuse 60 voters marked Jessica Meuse 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

Fourth-most representative choice is:

Jessica Meuse

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 A winner cannot be identified because, in one of the rounds of voting, there is a tie among the choices with the fewest votes.
(The runoff steps did not involve a single choice being eliminated in the first round.)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Jena Irene 108 36 108 voters marked Jena Irene as their first choice
Alex Preston 71 24 71 voters marked Alex Preston as their first choice
Jessica Meuse 60 20 60 voters marked Jessica Meuse as their first choice
Caleb Johnson 60 20 60 voters marked Caleb Johnson as their first choice
(6 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: 305
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
182
182 voters prefer Jena Irene over Alex Preston
1
1 voter has an equal preference for Jena Irene over Alex Preston
122
122 voters prefer Alex Preston over Jena Irene
X = Jena Irene
Y = Caleb Johnson
177
177 voters prefer Jena Irene over Caleb Johnson
6
6 voters have an equal preference for Jena Irene over Caleb Johnson
122
122 voters prefer Caleb Johnson over Jena Irene
X = Jena Irene
Y = Jessica Meuse
187
187 voters prefer Jena Irene over Jessica Meuse
6
6 voters have an equal preference for Jena Irene and Jessica Meuse
112
112 voters prefer Jessica Meuse over Jena Irene
X = Alex Preston
Y = Caleb Johnson
156
156 voters prefer Alex Preston over Caleb Johnson
5
5 voters have an equal preference for Alex Preston and Caleb Johnson
144
144 voters prefer Caleb Johnson over Alex Preston
X = Alex Preston
Y = Jessica Meuse
162
162 voters prefer Alex Preston over Jessica Meuse
4
4 voters have an equal preference for Alex Preston and Jessica Meuse
139
139 voters prefer Jessica Meuse over Alex Preston
X = Caleb Johnson
Y = Jessica Meuse
166
166 voters prefer Caleb Johnson over Jessica Meuse
3
3 voters have an equal preference for Caleb Johnson and Jessica Meuse
136
136 voters prefer Jessica Meuse over Caleb Johnson
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,030
Number of all possible valid sequences (without ties): 24
First sequence:
  1. Alex Preston
  2. Caleb Johnson
  3. Jena Irene
  4. Jessica Meuse
Last sequence:
  1. Jessica Meuse
  2. Jena Irene
  3. Caleb Johnson
  4. 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&4 x1
  • 1&2,3&4 x1
  • 1,2&3&4 x1
  • 1,2,3,4 x13
  • 1,2,4,3 x12
  • 1,3,2,4 x20
  • 1,3,4,2 x10
  • 1,4,2,3 x5
  • 1,4,3,2 x10
  • 2&3&4,1 x1
  • 2&3,1&4 x1
  • 2&3,1,4 x1
  • 2,1,3,4 x4
  • 2,1,4,3 x7
  • 2,3&4,1 x1
  • 2,3,1&4 x1
  • 2,3,1,4 x23
  • 2,3,4,1 x6
  • 2,4,1,3 x9
  • 2,4,3,1 x9
  • 3&4,1&2 x1
  • 3,1&2,4 x1
  • 3,1,2,4 x13
  • 3,1,4,2 x14
  • 3,2,1&4 x1
  • 3,2,1,4 x27
  • 3,2,4,1 x16
  • 3,4,1&2 x1
  • 3,4,1,2 x24
  • 3,4,2,1 x11
  • 4,1,2&3 x1
  • 4,1,2,3 x10
  • 4,1,3,2 x6
  • 4,2,1,3 x13
  • 4,2,3,1 x8
  • 4,3,1,2 x17
  • 4,3,2,1 x5

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

Software version: 2014-May-8

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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