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VoteFair Ranking Results calculated at  www.VoteFair.org 2014-April-24  18:14

Poll title:

     American Idol, Season 13, Top 6    

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 66 for Jena Irene 89 voters marked Jena Irene as their first choice
Second-most popular Caleb Johnson Ranking score is 57 for Caleb Johnson 67 voters marked Caleb Johnson as their first choice
Third-most popular Alex Preston Ranking score is 41 for Alex Preston 48 voters marked Alex Preston as their first choice
Fourth-most popular Jessica Meuse Ranking score is 27 for Jessica Meuse 40 voters marked Jessica Meuse as their first choice
Fifth-most popular Sam Woolf Ranking score is 15 for Sam Woolf 43 voters marked Sam Woolf as their first choice
Sixth-most popular CJ Harris Ranking score is 0 for CJ Harris 6 voters marked CJ Harris 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
(4 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 : CJ Harris)
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
(23 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Jena Irene 89 30 89 voters marked Jena Irene as their first choice
Caleb Johnson 67 23 67 voters marked Caleb Johnson as their first choice
Alex Preston 48 16 48 voters marked Alex Preston as their first choice
Sam Woolf 43 15 43 voters marked Sam Woolf as their first choice
Jessica Meuse 40 14 40 voters marked Jessica Meuse as their first choice
CJ Harris 6 2 6 voters marked CJ Harris 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: 300
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		 162
162 voters prefer Jena Irene over Caleb Johnson		 6
6 voters have an equal preference for Jena Irene over Caleb Johnson		 132
132 voters prefer Caleb Johnson over Jena Irene
X = Jena Irene
Y = Alex Preston		 182
182 voters prefer Jena Irene over Alex Preston		 8
8 voters have an equal preference for Jena Irene over Alex Preston		 110
110 voters prefer Alex Preston over Jena Irene
X = Jena Irene
Y = Jessica Meuse		 191
191 voters prefer Jena Irene over Jessica Meuse		 12
12 voters have an equal preference for Jena Irene and Jessica Meuse		 97
97 voters prefer Jessica Meuse over Jena Irene
X = Jena Irene
Y = Sam Woolf		 200
200 voters prefer Jena Irene over Sam Woolf		 8
8 voters have an equal preference for Jena Irene over Sam Woolf		 92
92 voters prefer Sam Woolf over Jena Irene
X = Jena Irene
Y = CJ Harris		 262
262 voters prefer Jena Irene over CJ Harris		 4
4 voters have an equal preference for Jena Irene over CJ Harris		 34
34 voters prefer CJ Harris over Jena Irene
X = Caleb Johnson
Y = Alex Preston		 181
181 voters prefer Caleb Johnson over Alex Preston		 8
8 voters have an equal preference for Caleb Johnson over Alex Preston		 111
111 voters prefer Alex Preston over Caleb Johnson
X = Caleb Johnson
Y = Jessica Meuse		 189
189 voters prefer Caleb Johnson over Jessica Meuse		 8
8 voters have an equal preference for Caleb Johnson and Jessica Meuse		 103
103 voters prefer Jessica Meuse over Caleb Johnson
X = Caleb Johnson
Y = Sam Woolf		 213
213 voters prefer Caleb Johnson over Sam Woolf		 7
7 voters have an equal preference for Caleb Johnson and Sam Woolf		 80
80 voters prefer Sam Woolf over Caleb Johnson
X = Caleb Johnson
Y = CJ Harris		 266
266 voters prefer Caleb Johnson over CJ Harris		 5
5 voters have an equal preference for Caleb Johnson and CJ Harris		 29
29 voters prefer CJ Harris over Caleb Johnson
X = Alex Preston
Y = Jessica Meuse		 165
165 voters prefer Alex Preston over Jessica Meuse		 8
8 voters have an equal preference for Alex Preston and Jessica Meuse		 127
127 voters prefer Jessica Meuse over Alex Preston
X = Alex Preston
Y = Sam Woolf		 196
196 voters prefer Alex Preston over Sam Woolf		 9
9 voters have an equal preference for Alex Preston and Sam Woolf		 95
95 voters prefer Sam Woolf over Alex Preston
X = Alex Preston
Y = CJ Harris		 256
256 voters prefer Alex Preston over CJ Harris		 10
10 voters have an equal preference for Alex Preston and CJ Harris		 34
34 voters prefer CJ Harris over Alex Preston
X = Jessica Meuse
Y = Sam Woolf		 165
165 voters prefer Jessica Meuse over Sam Woolf		 10
10 voters have an equal preference for Jessica Meuse over Sam Woolf		 125
125 voters prefer Sam Woolf over Jessica Meuse
X = Jessica Meuse
Y = CJ Harris		 240
240 voters prefer Jessica Meuse over CJ Harris		 5
5 voters have an equal preference for Jessica Meuse over CJ Harris		 55
55 voters prefer CJ Harris over Jessica Meuse
X = Sam Woolf
Y = CJ Harris		 231
231 voters prefer Sam Woolf over CJ Harris		 7
7 voters have an equal preference for Sam Woolf over CJ Harris		 62
62 voters prefer CJ Harris over Sam Woolf
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 3,099
Number of all possible valid sequences (without ties): 720
First sequence:
  1. Alex Preston
  2. Caleb Johnson
  3. CJ Harris
  4. Sam Woolf
  5. Jena Irene
  6. Jessica Meuse
Last sequence:
  1. Jessica Meuse
  2. Jena Irene
  3. Sam Woolf
  4. CJ Harris
  5. Caleb Johnson
  6. 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&6 x1
  • 1,2&4,5,6,3 x1
  • 1,2,3&4&5&6 x1
  • 1,2,3,6,5,4 x2
  • 1,2,4,3,6,5 x1
  • 1,2,4,5,3,6 x2
  • 1,2,4,6,5,3 x4
  • 1,2,5,4,6,3 x1
  • 1,2,5,6,3,4 x1
  • 1,2,5,6,4,3 x4
  • 1,2,6,3,5,4 x1
  • 1,2,6,5,4,3 x1
  • 1,3,2,6,4,5 x1
  • 1,3,4,6,2,5 x1
  • 1,3,4,6,5,2 x1
  • 1,4,2,5,6,3 x1
  • 1,4,5,2,3,6 x3
  • 1,4,5,6,2,3 x3
  • 1,4,6,5,2,3 x1
  • 1,5,2,4,3,6 x1
  • 1,5,2,4,6,3 x5
  • 1,5,2,6,3,4 x2
  • 1,5,2,6,4,3 x3
  • 1,5,3,2,6,4 x1
  • 1,5,4,2,3,6 x1
  • 1,5,4,2,6,3 x1
  • 1,5,4,6,2,3 x1
  • 1,6,2,5,3,4 x1
  • 1,6,3,2,4,5 x1
  • 1,6,4,2,5,3 x1
  • 2&5,1&3&4&6 x1
  • 2&6,5,3,1,4 x1
  • 2,1,4,5,3,6 x1
  • 2,1,4,5,6,3 x2
  • 2,1,4,6,5,3 x4
  • 2,1,5,4,6,3 x3
  • 2,1,5,6,3,4 x1
  • 2,1,5,6,4,3 x2
  • 2,1,6,4,5,3 x2
  • 2,1,6,5,4,3 x2
  • 2,3,1,4,5&6 x1
  • 2,3,5,1,4,6 x1
  • 2,4,1,3,6,5 x2
  • 2,4,5,1,3,6 x1
  • 2,5,1,3,4,6 x3
  • 2,5,1,3,6,4 x1
  • 2,5,1,4,6,3 x2
  • 2,5,1,6,3&4 x1
  • 2,5,1,6,4,3 x5
  • 2,5,3,6,1,4 x1
  • [Remaining ballots not listed]

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

Software version: 2014-Apr-24

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