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VoteFair Ranking Results calculated at  www.VoteFair.org 2014-May-1  21:56

Poll title:

     American Idol, Season 13, Top 5    

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 59 for Jena Irene 83 voters marked Jena Irene as their first choice
Second-most popular Caleb Johnson  Ranking score is 45 for Caleb Johnson 69 voters marked Caleb Johnson as their first choice
Third-most popular Alex Preston  Ranking score is 30 for Alex Preston 42 voters marked Alex Preston as their first choice
Fourth-most popular Jessica Meuse  Ranking score is 15 for Jessica Meuse 50 voters marked Jessica Meuse as their first choice
Fifth-most popular Sam Woolf  Ranking score is 0 for Sam Woolf 46 voters marked Sam Woolf as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Jena Irene

Second-most representative choice is:

Caleb Johnson

Third-most representative choice is:

Alex Preston

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 Jena Irene
Instant runoff Jena Irene
(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 : Alex Preston)
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 Jena Irene

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

Details of plurality results

  
Choice Vote count Percentage
Jena Irene 83 29 83 voters marked Jena Irene as their first choice
Caleb Johnson 69 24 69 voters marked Caleb Johnson as their first choice
Jessica Meuse 50 17 50 voters marked Jessica Meuse as their first choice
Sam Woolf 46 16 46 voters marked Sam Woolf as their first choice
Alex Preston 42 14 42 voters marked Alex Preston 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: 297
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 = Caleb Johnson
159
159 voters prefer Jena Irene over Caleb Johnson
10
10 voters have an equal preference for Jena Irene over Caleb Johnson
128
128 voters prefer Caleb Johnson over Jena Irene
X = Jena Irene
Y = Alex Preston
166
166 voters prefer Jena Irene over Alex Preston
11
11 voters have an equal preference for Jena Irene over Alex Preston
120
120 voters prefer Alex Preston over Jena Irene
X = Jena Irene
Y = Jessica Meuse
184
184 voters prefer Jena Irene over Jessica Meuse
12
12 voters have an equal preference for Jena Irene and Jessica Meuse
101
101 voters prefer Jessica Meuse over Jena Irene
X = Jena Irene
Y = Sam Woolf
197
197 voters prefer Jena Irene over Sam Woolf
7
7 voters have an equal preference for Jena Irene over Sam Woolf
93
93 voters prefer Sam Woolf over Jena Irene
X = Caleb Johnson
Y = Alex Preston
160
160 voters prefer Caleb Johnson over Alex Preston
14
14 voters have an equal preference for Caleb Johnson over Alex Preston
123
123 voters prefer Alex Preston over Caleb Johnson
X = Caleb Johnson
Y = Jessica Meuse
169
169 voters prefer Caleb Johnson over Jessica Meuse
7
7 voters have an equal preference for Caleb Johnson and Jessica Meuse
121
121 voters prefer Jessica Meuse over Caleb Johnson
X = Caleb Johnson
Y = Sam Woolf
203
203 voters prefer Caleb Johnson over Sam Woolf
8
8 voters have an equal preference for Caleb Johnson and Sam Woolf
86
86 voters prefer Sam Woolf over Caleb Johnson
X = Alex Preston
Y = Jessica Meuse
163
163 voters prefer Alex Preston over Jessica Meuse
8
8 voters have an equal preference for Alex Preston and Jessica Meuse
126
126 voters prefer Jessica Meuse over Alex Preston
X = Alex Preston
Y = Sam Woolf
192
192 voters prefer Alex Preston over Sam Woolf
9
9 voters have an equal preference for Alex Preston and Sam Woolf
96
96 voters prefer Sam Woolf over Alex Preston
X = Jessica Meuse
Y = Sam Woolf
174
174 voters prefer Jessica Meuse over Sam Woolf
5
5 voters have an equal preference for Jessica Meuse over Sam Woolf
118
118 voters prefer Sam Woolf over Jessica Meuse
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,767
Number of all possible valid sequences (without ties): 120
First sequence:
  1. Alex Preston
  2. Caleb Johnson
  3. Sam Woolf
  4. Jena Irene
  5. Jessica Meuse
Last sequence:
  1. Jessica Meuse
  2. Jena Irene
  3. Sam Woolf
  4. Caleb Johnson
  5. 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&5 x3
  • 1,2,3,4,5 x2
  • 1,2,3,5,4 x4
  • 1,2,4,3,5 x3
  • 1,2,4,5,3 x4
  • 1,2,5,3,4 x2
  • 1,3,2,4,5 x4
  • 1,3,2,5,4 x2
  • 1,3,4,5,2 x1
  • 1,3,5,2,4 x1
  • 1,4,2,3,5 x1
  • 1,4,2,5,3 x2
  • 1,4,3,2,5 x1
  • 1,4,3,5,2 x2
  • 1,4,5,2,3 x2
  • 1,4,5,3,2 x2
  • 1,5,2,4,3 x4
  • 1,5,3,2,4 x1
  • 1,5,4,2,3 x2
  • 1,5,4,3,2 x2
  • 2&4,1,5,3 x1
  • 2,1&3&4&5 x1
  • 2,1&3,4&5 x1
  • 2,1,3,4&5 x1
  • 2,1,3,4,5 x2
  • 2,1,3,5,4 x3
  • 2,1,4,3&5 x1
  • 2,1,4,3,5 x3
  • 2,1,4,5,3 x1
  • 2,1,5,3,4 x1
  • 2,1,5,4,3 x5
  • 2,3,1&4,5 x1
  • 2,3,1,4,5 x3
  • 2,3,1,5,4 x3
  • 2,4,1,3,5 x5
  • 2,4,1,5,3 x9
  • 2,4,3,1,5 x2
  • 2,4,3,5,1 x1
  • 2,4,5,1,3 x13
  • 2,4,5,3,1 x3
  • 2,5,1,3,4 x1
  • 2,5,1,4,3 x2
  • 2,5,3,1,4 x2
  • 2,5,4,1,3 x4
  • 2,5,4,3,1 x1
  • 3&4,1&2&5 x1
  • 3,1&2&4&5 x3
  • 3,1,2,4,5 x4
  • 3,1,2,5,4 x1
  • 3,1,4,2,5 x8
  • [Remaining ballots not listed]

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

Software version: 2014-May-1

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