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VoteFair Ranking Results calculated at  www.VoteFair.org 2014-April-17  20:50

Poll title:

     American Idol, Season 13, Top 7    

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 68 for Jena Irene 80 voters marked Jena Irene as their first choice
Second-most popular Caleb Johnson  Ranking score is 57 for Caleb Johnson 47 voters marked Caleb Johnson as their first choice
Third-most popular Alex Preston  Ranking score is 46 for Alex Preston 41 voters marked Alex Preston as their first choice
Fourth-most popular Jessica Meuse  Ranking score is 32 for Jessica Meuse 24 voters marked Jessica Meuse as their first choice
Fifth-most popular Sam Woolf  Ranking score is 20 for Sam Woolf 35 voters marked Sam Woolf as their first choice
Sixth-most popular Dexter Roberts  Ranking score is 10 for Dexter Roberts 9 voters marked Dexter Roberts as their first choice
Seventh-most popular CJ Harris  Ranking score is 0 for CJ Harris 9 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 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.

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

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

Details of plurality results

  
Choice Vote count Percentage
Jena Irene 80 33 80 voters marked Jena Irene as their first choice
Caleb Johnson 47 19 47 voters marked Caleb Johnson as their first choice
Alex Preston 41 17 41 voters marked Alex Preston as their first choice
Sam Woolf 35 14 35 voters marked Sam Woolf as their first choice
Jessica Meuse 24 10 24 voters marked Jessica Meuse as their first choice
Dexter Roberts 9 4 9 voters marked Dexter Roberts as their first choice
CJ Harris 9 4 9 voters marked CJ Harris as their first choice
(11 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: 256
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
134
134 voters prefer Jena Irene over Caleb Johnson
8
8 voters have an equal preference for Jena Irene over Caleb Johnson
114
114 voters prefer Caleb Johnson over Jena Irene
X = Jena Irene
Y = Alex Preston
156
156 voters prefer Jena Irene over Alex Preston
12
12 voters have an equal preference for Jena Irene over Alex Preston
88
88 voters prefer Alex Preston over Jena Irene
X = Jena Irene
Y = Jessica Meuse
172
172 voters prefer Jena Irene over Jessica Meuse
14
14 voters have an equal preference for Jena Irene and Jessica Meuse
70
70 voters prefer Jessica Meuse over Jena Irene
X = Jena Irene
Y = Sam Woolf
175
175 voters prefer Jena Irene over Sam Woolf
13
13 voters have an equal preference for Jena Irene over Sam Woolf
68
68 voters prefer Sam Woolf over Jena Irene
X = Jena Irene
Y = Dexter Roberts
195
195 voters prefer Jena Irene over Dexter Roberts
10
10 voters have an equal preference for Jena Irene over Dexter Roberts
51
51 voters prefer Dexter Roberts over Jena Irene
X = Jena Irene
Y = CJ Harris
210
210 voters prefer Jena Irene over CJ Harris
8
8 voters have an equal preference for Jena Irene over CJ Harris
38
38 voters prefer CJ Harris over Jena Irene
X = Caleb Johnson
Y = Alex Preston
141
141 voters prefer Caleb Johnson over Alex Preston
11
11 voters have an equal preference for Caleb Johnson over Alex Preston
104
104 voters prefer Alex Preston over Caleb Johnson
X = Caleb Johnson
Y = Jessica Meuse
162
162 voters prefer Caleb Johnson over Jessica Meuse
10
10 voters have an equal preference for Caleb Johnson and Jessica Meuse
84
84 voters prefer Jessica Meuse over Caleb Johnson
X = Caleb Johnson
Y = Sam Woolf
173
173 voters prefer Caleb Johnson over Sam Woolf
7
7 voters have an equal preference for Caleb Johnson and Sam Woolf
76
76 voters prefer Sam Woolf over Caleb Johnson
X = Caleb Johnson
Y = Dexter Roberts
198
198 voters prefer Caleb Johnson over Dexter Roberts
10
10 voters have an equal preference for Caleb Johnson and Dexter Roberts
48
48 voters prefer Dexter Roberts over Caleb Johnson
X = Caleb Johnson
Y = CJ Harris
203
203 voters prefer Caleb Johnson over CJ Harris
6
6 voters have an equal preference for Caleb Johnson and CJ Harris
47
47 voters prefer CJ Harris over Caleb Johnson
X = Alex Preston
Y = Jessica Meuse
152
152 voters prefer Alex Preston over Jessica Meuse
11
11 voters have an equal preference for Alex Preston and Jessica Meuse
93
93 voters prefer Jessica Meuse over Alex Preston
X = Alex Preston
Y = Sam Woolf
163
163 voters prefer Alex Preston over Sam Woolf
8
8 voters have an equal preference for Alex Preston and Sam Woolf
85
85 voters prefer Sam Woolf over Alex Preston
X = Alex Preston
Y = Dexter Roberts
191
191 voters prefer Alex Preston over Dexter Roberts
9
9 voters have an equal preference for Alex Preston and Dexter Roberts
56
56 voters prefer Dexter Roberts over Alex Preston
X = Alex Preston
Y = CJ Harris
198
198 voters prefer Alex Preston over CJ Harris
6
6 voters have an equal preference for Alex Preston and CJ Harris
52
52 voters prefer CJ Harris over Alex Preston
X = Jessica Meuse
Y = Sam Woolf
139
139 voters prefer Jessica Meuse over Sam Woolf
15
15 voters have an equal preference for Jessica Meuse over Sam Woolf
102
102 voters prefer Sam Woolf over Jessica Meuse
X = Jessica Meuse
Y = Dexter Roberts
175
175 voters prefer Jessica Meuse over Dexter Roberts
11
11 voters have an equal preference for Jessica Meuse over Dexter Roberts
70
70 voters prefer Dexter Roberts over Jessica Meuse
X = Jessica Meuse
Y = CJ Harris
177
177 voters prefer Jessica Meuse over CJ Harris
9
9 voters have an equal preference for Jessica Meuse over CJ Harris
70
70 voters prefer CJ Harris over Jessica Meuse
X = Sam Woolf
Y = Dexter Roberts
150
150 voters prefer Sam Woolf over Dexter Roberts
10
10 voters have an equal preference for Sam Woolf over Dexter Roberts
96
96 voters prefer Dexter Roberts over Sam Woolf
X = Sam Woolf
Y = CJ Harris
161
161 voters prefer Sam Woolf over CJ Harris
10
10 voters have an equal preference for Sam Woolf over CJ Harris
85
85 voters prefer CJ Harris over Sam Woolf
X = Dexter Roberts
Y = CJ Harris
147
147 voters prefer Dexter Roberts over CJ Harris
10
10 voters have an equal preference for Dexter Roberts over CJ Harris
99
99 voters prefer CJ Harris over Dexter Roberts
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 3,572
Number of all possible valid sequences (without ties): 5,040
First sequence:
  1. Alex Preston
  2. Caleb Johnson
  3. CJ Harris
  4. Dexter Roberts
  5. Sam Woolf
  6. Jena Irene
  7. Jessica Meuse
Last sequence:
  1. Jessica Meuse
  2. Jena Irene
  3. Sam Woolf
  4. Dexter Roberts
  5. CJ Harris
  6. Caleb Johnson
  7. 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&7 x3
  • 1&2&4&6,3&5&7 x1
  • 1&5&6,3,7,4,2 x1
  • 1&6&7,2&3&4&5 x1
  • 1,2,4,5,6,3,7 x1
  • 1,2,5,4,7,6,3 x2
  • 1,2,5,6,7,4,3 x2
  • 1,2,6,5,4,3,7 x1
  • 1,2,6,5,7,3,4 x4
  • 1,2,6,7,3,5,4 x2
  • 1,2,6,7,4,5,3 x1
  • 1,2,6,7,5,3,4 x1
  • 1,2,7,3,4,6,5 x1
  • 1,2,7,5,4,6,3 x1
  • 1,2,7,6,4,5,3 x2
  • 1,2,7,6,5,4,3 x1
  • 1,3,4,2,5,6,7 x1
  • 1,5,2,4,6,7,3 x1
  • 1,5,6,2,3,7,4 x1
  • 1,5,6,4,2,3,7 x1
  • 1,5,6,7,4,2,3 x1
  • 1,6,2,7,3,5,4 x1
  • 1,6,2,7,4,3,5 x1
  • 1,6,2,7,4,5,3 x1
  • 1,6,3,2,5,4,7 x1
  • 1,6,3,5,4,7,2 x1
  • 1,6,3,5,7,4,2 x1
  • 1,6,4,2,3&5&7 x1
  • 1,6,5,2,3,4,7 x1
  • 1,6,5,7,4,2,3 x1
  • 1,6,7,2,3,5,4 x1
  • 1,6,7,3,5,4,2 x1
  • 1,6,7,5,2,4,3 x1
  • 1,7,2,3,4,6,5 x1
  • 1,7,3,4,2,5,6 x1
  • 1,7,4,2,3,5,6 x1
  • 1,7,6,2,4,5,3 x1
  • 1,7,6,5,2,4,3 x1
  • 2&3&4&5&6&7,1 x1
  • 2&4&7,1&3&5&6 x1
  • 2,1,4,6,7,5,3 x1
  • 2,1,5,6&7,3,4 x1
  • 2,1,6,5,4,3,7 x1
  • 2,1,6,5,7,4,3 x1
  • 2,1,6,7,3,4,5 x1
  • 2,1,7,5,4,6,3 x1
  • 2,1,7,6,4,5,3 x1
  • 2,1,7,6,5,4,3 x1
  • 2,3,4,5,1&6&7 x1
  • 2,3,4,7,1,5,6 x1
  • [Remaining ballots not listed]

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

Software version: 2014-Apr-17

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