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VoteFair Ranking Results calculated at  www.VoteFair.org 2014-April-10  21:39

Poll title:

     American Idol, Season 13, Top 8, Second week    

Question (number 1) title:

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

The most preferred and most representative choice is:

    Caleb Johnson

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Caleb Johnson  Ranking score is 66 for Caleb Johnson 45 voters marked Caleb Johnson as their first choice
Second-most popular Jena Irene  Ranking score is 57 for Jena Irene 53 voters marked Jena Irene as their first choice
Third-most popular Alex Preston  Ranking score is 50 for Alex Preston 46 voters marked Alex Preston as their first choice
Fourth-most popular Jessica Meuse  Ranking score is 41 for Jessica Meuse 31 voters marked Jessica Meuse as their first choice
Fifth-most popular Sam Woolf  Ranking score is 26 for Sam Woolf 29 voters marked Sam Woolf as their first choice
Sixth-most popular Malaya Watson  Ranking score is 17 for Malaya Watson 7 voters marked Malaya Watson as their first choice
Seventh-most popular Dexter Roberts  Ranking score is 9 for Dexter Roberts 12 voters marked Dexter Roberts as their first choice
Eighth-most popular CJ Harris  Ranking score is 0 for CJ Harris 7 voters marked CJ Harris as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Caleb Johnson

Second-most representative choice is:

Jena Irene

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 Caleb Johnson
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.

(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 Caleb Johnson
Borda count Caleb Johnson
(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 53 23 53 voters marked Jena Irene as their first choice
Alex Preston 46 20 46 voters marked Alex Preston as their first choice
Caleb Johnson 45 20 45 voters marked Caleb Johnson as their first choice
Jessica Meuse 31 13 31 voters marked Jessica Meuse as their first choice
Sam Woolf 29 13 29 voters marked Sam Woolf as their first choice
Dexter Roberts 12 5 12 voters marked Dexter Roberts as their first choice
Malaya Watson 7 3 7 voters marked Malaya Watson as their first choice
CJ Harris 7 3 7 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: 237
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 = Caleb Johnson
Y = Jena Irene
116
116 voters prefer Caleb Johnson over Jena Irene
8
8 voters have an equal preference for Caleb Johnson and Jena Irene
113
113 voters prefer Jena Irene over Caleb Johnson
X = Caleb Johnson
Y = Alex Preston
118
118 voters prefer Caleb Johnson over Alex Preston
10
10 voters have an equal preference for Caleb Johnson over Alex Preston
109
109 voters prefer Alex Preston over Caleb Johnson
X = Caleb Johnson
Y = Jessica Meuse
132
132 voters prefer Caleb Johnson over Jessica Meuse
10
10 voters have an equal preference for Caleb Johnson and Jessica Meuse
95
95 voters prefer Jessica Meuse over Caleb Johnson
X = Caleb Johnson
Y = Sam Woolf
168
168 voters prefer Caleb Johnson over Sam Woolf
9
9 voters have an equal preference for Caleb Johnson and Sam Woolf
60
60 voters prefer Sam Woolf over Caleb Johnson
X = Caleb Johnson
Y = Malaya Watson
180
180 voters prefer Caleb Johnson over Malaya Watson
6
6 voters have an equal preference for Caleb Johnson and Malaya Watson
51
51 voters prefer Malaya Watson over Caleb Johnson
X = Caleb Johnson
Y = Dexter Roberts
182
182 voters prefer Caleb Johnson over Dexter Roberts
9
9 voters have an equal preference for Caleb Johnson and Dexter Roberts
46
46 voters prefer Dexter Roberts over Caleb Johnson
X = Caleb Johnson
Y = CJ Harris
202
202 voters prefer Caleb Johnson over CJ Harris
8
8 voters have an equal preference for Caleb Johnson and CJ Harris
27
27 voters prefer CJ Harris over Caleb Johnson
X = Jena Irene
Y = Alex Preston
117
117 voters prefer Jena Irene over Alex Preston
7
7 voters have an equal preference for Jena Irene over Alex Preston
113
113 voters prefer Alex Preston over Jena Irene
X = Jena Irene
Y = Jessica Meuse
140
140 voters prefer Jena Irene over Jessica Meuse
9
9 voters have an equal preference for Jena Irene and Jessica Meuse
88
88 voters prefer Jessica Meuse over Jena Irene
X = Jena Irene
Y = Sam Woolf
146
146 voters prefer Jena Irene over Sam Woolf
7
7 voters have an equal preference for Jena Irene over Sam Woolf
84
84 voters prefer Sam Woolf over Jena Irene
X = Jena Irene
Y = Malaya Watson
183
183 voters prefer Jena Irene over Malaya Watson
10
10 voters have an equal preference for Jena Irene and Malaya Watson
44
44 voters prefer Malaya Watson over Jena Irene
X = Jena Irene
Y = Dexter Roberts
168
168 voters prefer Jena Irene over Dexter Roberts
8
8 voters have an equal preference for Jena Irene over Dexter Roberts
61
61 voters prefer Dexter Roberts over Jena Irene
X = Jena Irene
Y = CJ Harris
194
194 voters prefer Jena Irene over CJ Harris
7
7 voters have an equal preference for Jena Irene over CJ Harris
36
36 voters prefer CJ Harris over Jena Irene
X = Alex Preston
Y = Jessica Meuse
122
122 voters prefer Alex Preston over Jessica Meuse
9
9 voters have an equal preference for Alex Preston and Jessica Meuse
106
106 voters prefer Jessica Meuse over Alex Preston
X = Alex Preston
Y = Sam Woolf
160
160 voters prefer Alex Preston over Sam Woolf
8
8 voters have an equal preference for Alex Preston and Sam Woolf
69
69 voters prefer Sam Woolf over Alex Preston
X = Alex Preston
Y = Malaya Watson
173
173 voters prefer Alex Preston over Malaya Watson
6
6 voters have an equal preference for Alex Preston and Malaya Watson
58
58 voters prefer Malaya Watson over Alex Preston
X = Alex Preston
Y = Dexter Roberts
171
171 voters prefer Alex Preston over Dexter Roberts
9
9 voters have an equal preference for Alex Preston and Dexter Roberts
57
57 voters prefer Dexter Roberts over Alex Preston
X = Alex Preston
Y = CJ Harris
199
199 voters prefer Alex Preston over CJ Harris
8
8 voters have an equal preference for Alex Preston and CJ Harris
30
30 voters prefer CJ Harris over Alex Preston
X = Jessica Meuse
Y = Sam Woolf
149
149 voters prefer Jessica Meuse over Sam Woolf
7
7 voters have an equal preference for Jessica Meuse over Sam Woolf
81
81 voters prefer Sam Woolf over Jessica Meuse
X = Jessica Meuse
Y = Malaya Watson
176
176 voters prefer Jessica Meuse over Malaya Watson
7
7 voters have an equal preference for Jessica Meuse and Malaya Watson
54
54 voters prefer Malaya Watson over Jessica Meuse
X = Jessica Meuse
Y = Dexter Roberts
165
165 voters prefer Jessica Meuse over Dexter Roberts
7
7 voters have an equal preference for Jessica Meuse over Dexter Roberts
65
65 voters prefer Dexter Roberts over Jessica Meuse
X = Jessica Meuse
Y = CJ Harris
188
188 voters prefer Jessica Meuse over CJ Harris
7
7 voters have an equal preference for Jessica Meuse over CJ Harris
42
42 voters prefer CJ Harris over Jessica Meuse
X = Sam Woolf
Y = Malaya Watson
132
132 voters prefer Sam Woolf over Malaya Watson
6
6 voters have an equal preference for Sam Woolf and Malaya Watson
99
99 voters prefer Malaya Watson over Sam Woolf
X = Sam Woolf
Y = Dexter Roberts
136
136 voters prefer Sam Woolf over Dexter Roberts
11
11 voters have an equal preference for Sam Woolf over Dexter Roberts
90
90 voters prefer Dexter Roberts over Sam Woolf
X = Sam Woolf
Y = CJ Harris
167
167 voters prefer Sam Woolf over CJ Harris
9
9 voters have an equal preference for Sam Woolf over CJ Harris
61
61 voters prefer CJ Harris over Sam Woolf
X = Malaya Watson
Y = Dexter Roberts
119
119 voters prefer Malaya Watson over Dexter Roberts
10
10 voters have an equal preference for Malaya Watson over Dexter Roberts
108
108 voters prefer Dexter Roberts over Malaya Watson
X = Malaya Watson
Y = CJ Harris
160
160 voters prefer Malaya Watson over CJ Harris
8
8 voters have an equal preference for Malaya Watson over CJ Harris
69
69 voters prefer CJ Harris over Malaya Watson
X = Dexter Roberts
Y = CJ Harris
155
155 voters prefer Dexter Roberts over CJ Harris
11
11 voters have an equal preference for Dexter Roberts over CJ Harris
71
71 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: 4,418
Number of all possible valid sequences (without ties): 40,320
First sequence:
  1. Alex Preston
  2. Caleb Johnson
  3. CJ Harris
  4. Dexter Roberts
  5. Sam Woolf
  6. Jena Irene
  7. Jessica Meuse
  8. Malaya Watson
Last sequence:
  1. Malaya Watson
  2. Jessica Meuse
  3. Jena Irene
  4. Sam Woolf
  5. Dexter Roberts
  6. CJ Harris
  7. Caleb Johnson
  8. 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&8 x4
  • 1&2,7,5,6&8,4,3 x1
  • 1&7,8,5,6,4,3,2 x1
  • 1,2&3&4&5&6&7&8 x1
  • 1,2,3,5,4,7,8,6 x1
  • 1,2,3,5,6,7,4,8 x1
  • 1,2,3,7,4,8,6,5 x1
  • 1,2,4,5,6,3,7,8 x1
  • 1,2,4,5,7,8,6,3 x1
  • 1,2,4,6,7,3,5,8 x1
  • 1,2,4,7,5,6,8,3 x1
  • 1,2,4,7,6,5,8,3 x1
  • 1,2,5,6,4,7,8,3 x2
  • 1,2,5,6,8,3,4,7 x2
  • 1,2,5,8,4,3,6,7 x1
  • 1,2,5,8,6,7,3,4 x1
  • 1,2,6,7,8,3,4&5 x1
  • 1,2,6,7,8,4,5,3 x1
  • 1,2,7,4,5,6,8,3 x1
  • 1,2,7,5,4,8,3,6 x1
  • 1,2,7,5,4,8,6,3 x1
  • 1,2,7,5,8,4,6,3 x1
  • 1,2,7,6,5,4,8,3 x1
  • 1,4,6,7,2,5,3,8 x1
  • 1,5,2,6,8,4,7,3 x1
  • 1,5,4,2,6,3,8,7 x1
  • 1,5,6,2,7,8,4,3 x1
  • 1,5,6,3,7,4,2,8 x1
  • 1,5,6,4,8,7,3,2 x1
  • 1,5,6,7,2,3,4,8 x1
  • 1,5,6,7,8,4,3,2 x1
  • 1,5,7,2,6,4,8,3 x1
  • 1,5,8,7,6,3,4,2 x1
  • 1,6,2,3,7,8,4,5 x1
  • 1,6,2,7,3,8,5,4 x1
  • 1,6,2,7,4,5,8,3 x1
  • 1,6,2,7,5,4,3,8 x1
  • 1,6,2,7,5,8,4,3 x1
  • 1,6,5,7,2,8,4,3 x1
  • 1,6,5,7,8,3,2,4 x1
  • 1,6,7,2,8,5,3,4 x1
  • 1,6,7,5,2,3,4,8 x1
  • 1,6,7,8,2,5,4,3 x1
  • 1,6,8,7,2,3,4,5 x1
  • 1,6,8,7,2,5,3,4 x1
  • 1,7,3,8,2,4,6,5 x1
  • 1,7,8,5,6,2,4,3 x1
  • 2,1,5,4,6,3,7,8 x1
  • 2,1,5,4,6,7,8,3 x1
  • 2,1,6,5,4,3,8,7 x2
  • [Remaining ballots not listed]

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

Software version: 2014-Apr-10

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