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VoteFair Ranking Results calculated at  www.VoteFair.org 2014-March-27  17:38

Poll title:

     American Idol, Season 13, Top 9    

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 63 for Caleb Johnson 44 voters marked Caleb Johnson as their first choice
Second-most popular Alex Preston  Ranking score is 56 for Alex Preston 54 voters marked Alex Preston as their first choice
Third-most popular Jena Irene  Ranking score is 48 for Jena Irene 41 voters marked Jena Irene as their first choice
Fourth-most popular Jessica Meuse  Ranking score is 41 for Jessica Meuse 23 voters marked Jessica Meuse as their first choice
Fifth-most popular Sam Woolf  Ranking score is 27 for Sam Woolf 14 voters marked Sam Woolf as their first choice
Sixth-most popular Malaya Watson  Ranking score is 21 for Malaya Watson 14 voters marked Malaya Watson as their first choice
Seventh-most popular Majesty Rose  Ranking score is 13 for Majesty Rose 7 voters marked Majesty Rose as their first choice
Eighth-most popular Dexter Roberts  Ranking score is 7 for Dexter Roberts 37 voters marked Dexter Roberts as their first choice
Ninth-most popular CJ Harris  Ranking score is 0 for CJ Harris 4 voters marked CJ Harris as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Caleb Johnson

Second-most representative choice is:

Alex Preston

Third-most representative choice is:

Jena Irene

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 Caleb Johnson
(8 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.

(15 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Alex Preston

(15 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Caleb Johnson
Borda count Caleb Johnson
(37 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Alex Preston 54 23 54 voters marked Alex Preston as their first choice
Caleb Johnson 44 18 44 voters marked Caleb Johnson as their first choice
Jena Irene 41 17 41 voters marked Jena Irene as their first choice
Dexter Roberts 37 16 37 voters marked Dexter Roberts as their first choice
Jessica Meuse 23 10 23 voters marked Jessica Meuse as their first choice
Malaya Watson 14 6 14 voters marked Malaya Watson as their first choice
Sam Woolf 14 6 14 voters marked Sam Woolf as their first choice
Majesty Rose 7 3 7 voters marked Majesty Rose as their first choice
CJ Harris 4 2 4 voters marked CJ Harris as their first choice
(15 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: 253
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 = Alex Preston
121
121 voters prefer Caleb Johnson over Alex Preston
20
20 voters have an equal preference for Caleb Johnson over Alex Preston
112
112 voters prefer Alex Preston over Caleb Johnson
X = Caleb Johnson
Y = Jena Irene
133
133 voters prefer Caleb Johnson over Jena Irene
17
17 voters have an equal preference for Caleb Johnson and Jena Irene
103
103 voters prefer Jena Irene over Caleb Johnson
X = Caleb Johnson
Y = Jessica Meuse
150
150 voters prefer Caleb Johnson over Jessica Meuse
12
12 voters have an equal preference for Caleb Johnson and Jessica Meuse
91
91 voters prefer Jessica Meuse over Caleb Johnson
X = Caleb Johnson
Y = Sam Woolf
164
164 voters prefer Caleb Johnson over Sam Woolf
19
19 voters have an equal preference for Caleb Johnson and Sam Woolf
70
70 voters prefer Sam Woolf over Caleb Johnson
X = Caleb Johnson
Y = Malaya Watson
174
174 voters prefer Caleb Johnson over Malaya Watson
18
18 voters have an equal preference for Caleb Johnson and Malaya Watson
61
61 voters prefer Malaya Watson over Caleb Johnson
X = Caleb Johnson
Y = Majesty Rose
187
187 voters prefer Caleb Johnson over Majesty Rose
16
16 voters have an equal preference for Caleb Johnson and Majesty Rose
50
50 voters prefer Majesty Rose over Caleb Johnson
X = Caleb Johnson
Y = Dexter Roberts
174
174 voters prefer Caleb Johnson over Dexter Roberts
19
19 voters have an equal preference for Caleb Johnson and Dexter Roberts
60
60 voters prefer Dexter Roberts over Caleb Johnson
X = Caleb Johnson
Y = CJ Harris
180
180 voters prefer Caleb Johnson over CJ Harris
21
21 voters have an equal preference for Caleb Johnson and CJ Harris
52
52 voters prefer CJ Harris over Caleb Johnson
X = Alex Preston
Y = Jena Irene
123
123 voters prefer Alex Preston over Jena Irene
16
16 voters have an equal preference for Alex Preston and Jena Irene
114
114 voters prefer Jena Irene over Alex Preston
X = Alex Preston
Y = Jessica Meuse
142
142 voters prefer Alex Preston over Jessica Meuse
13
13 voters have an equal preference for Alex Preston and Jessica Meuse
98
98 voters prefer Jessica Meuse over Alex Preston
X = Alex Preston
Y = Sam Woolf
160
160 voters prefer Alex Preston over Sam Woolf
18
18 voters have an equal preference for Alex Preston and Sam Woolf
75
75 voters prefer Sam Woolf over Alex Preston
X = Alex Preston
Y = Malaya Watson
166
166 voters prefer Alex Preston over Malaya Watson
18
18 voters have an equal preference for Alex Preston and Malaya Watson
69
69 voters prefer Malaya Watson over Alex Preston
X = Alex Preston
Y = Majesty Rose
188
188 voters prefer Alex Preston over Majesty Rose
14
14 voters have an equal preference for Alex Preston and Majesty Rose
51
51 voters prefer Majesty Rose over Alex Preston
X = Alex Preston
Y = Dexter Roberts
179
179 voters prefer Alex Preston over Dexter Roberts
16
16 voters have an equal preference for Alex Preston and Dexter Roberts
58
58 voters prefer Dexter Roberts over Alex Preston
X = Alex Preston
Y = CJ Harris
184
184 voters prefer Alex Preston over CJ Harris
16
16 voters have an equal preference for Alex Preston and CJ Harris
53
53 voters prefer CJ Harris over Alex Preston
X = Jena Irene
Y = Jessica Meuse
138
138 voters prefer Jena Irene over Jessica Meuse
15
15 voters have an equal preference for Jena Irene and Jessica Meuse
100
100 voters prefer Jessica Meuse over Jena Irene
X = Jena Irene
Y = Sam Woolf
153
153 voters prefer Jena Irene over Sam Woolf
19
19 voters have an equal preference for Jena Irene over Sam Woolf
81
81 voters prefer Sam Woolf over Jena Irene
X = Jena Irene
Y = Malaya Watson
163
163 voters prefer Jena Irene over Malaya Watson
18
18 voters have an equal preference for Jena Irene and Malaya Watson
72
72 voters prefer Malaya Watson over Jena Irene
X = Jena Irene
Y = Majesty Rose
183
183 voters prefer Jena Irene over Majesty Rose
19
19 voters have an equal preference for Jena Irene and Majesty Rose
51
51 voters prefer Majesty Rose over Jena Irene
X = Jena Irene
Y = Dexter Roberts
161
161 voters prefer Jena Irene over Dexter Roberts
12
12 voters have an equal preference for Jena Irene over Dexter Roberts
80
80 voters prefer Dexter Roberts over Jena Irene
X = Jena Irene
Y = CJ Harris
175
175 voters prefer Jena Irene over CJ Harris
13
13 voters have an equal preference for Jena Irene over CJ Harris
65
65 voters prefer CJ Harris over Jena Irene
X = Jessica Meuse
Y = Sam Woolf
154
154 voters prefer Jessica Meuse over Sam Woolf
15
15 voters have an equal preference for Jessica Meuse over Sam Woolf
84
84 voters prefer Sam Woolf over Jessica Meuse
X = Jessica Meuse
Y = Malaya Watson
156
156 voters prefer Jessica Meuse over Malaya Watson
14
14 voters have an equal preference for Jessica Meuse and Malaya Watson
83
83 voters prefer Malaya Watson over Jessica Meuse
X = Jessica Meuse
Y = Majesty Rose
177
177 voters prefer Jessica Meuse over Majesty Rose
14
14 voters have an equal preference for Jessica Meuse and Majesty Rose
62
62 voters prefer Majesty Rose over Jessica Meuse
X = Jessica Meuse
Y = Dexter Roberts
158
158 voters prefer Jessica Meuse over Dexter Roberts
12
12 voters have an equal preference for Jessica Meuse over Dexter Roberts
83
83 voters prefer Dexter Roberts over Jessica Meuse
X = Jessica Meuse
Y = CJ Harris
183
183 voters prefer Jessica Meuse over CJ Harris
12
12 voters have an equal preference for Jessica Meuse over CJ Harris
58
58 voters prefer CJ Harris over Jessica Meuse
X = Sam Woolf
Y = Malaya Watson
119
119 voters prefer Sam Woolf over Malaya Watson
21
21 voters have an equal preference for Sam Woolf and Malaya Watson
113
113 voters prefer Malaya Watson over Sam Woolf
X = Sam Woolf
Y = Majesty Rose
135
135 voters prefer Sam Woolf over Majesty Rose
20
20 voters have an equal preference for Sam Woolf and Majesty Rose
98
98 voters prefer Majesty Rose over Sam Woolf
X = Sam Woolf
Y = Dexter Roberts
145
145 voters prefer Sam Woolf over Dexter Roberts
14
14 voters have an equal preference for Sam Woolf over Dexter Roberts
94
94 voters prefer Dexter Roberts over Sam Woolf
X = Sam Woolf
Y = CJ Harris
151
151 voters prefer Sam Woolf over CJ Harris
17
17 voters have an equal preference for Sam Woolf over CJ Harris
85
85 voters prefer CJ Harris over Sam Woolf
X = Malaya Watson
Y = Majesty Rose
131
131 voters prefer Malaya Watson over Majesty Rose
22
22 voters have an equal preference for Malaya Watson over Majesty Rose
100
100 voters prefer Majesty Rose over Malaya Watson
X = Malaya Watson
Y = Dexter Roberts
135
135 voters prefer Malaya Watson over Dexter Roberts
14
14 voters have an equal preference for Malaya Watson over Dexter Roberts
104
104 voters prefer Dexter Roberts over Malaya Watson
X = Malaya Watson
Y = CJ Harris
155
155 voters prefer Malaya Watson over CJ Harris
15
15 voters have an equal preference for Malaya Watson over CJ Harris
83
83 voters prefer CJ Harris over Malaya Watson
X = Majesty Rose
Y = Dexter Roberts
121
121 voters prefer Majesty Rose over Dexter Roberts
13
13 voters have an equal preference for Majesty Rose over Dexter Roberts
119
119 voters prefer Dexter Roberts over Majesty Rose
X = Majesty Rose
Y = CJ Harris
138
138 voters prefer Majesty Rose over CJ Harris
14
14 voters have an equal preference for Majesty Rose over CJ Harris
101
101 voters prefer CJ Harris over Majesty Rose
X = Dexter Roberts
Y = CJ Harris
144
144 voters prefer Dexter Roberts over CJ Harris
21
21 voters have an equal preference for Dexter Roberts over CJ Harris
88
88 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: 5,600
Number of all possible valid sequences (without ties): 362,880
First sequence:
  1. Alex Preston
  2. Caleb Johnson
  3. CJ Harris
  4. Dexter Roberts
  5. Sam Woolf
  6. Jena Irene
  7. Jessica Meuse
  8. Majesty Rose
  9. Malaya Watson
Last sequence:
  1. Malaya Watson
  2. Majesty Rose
  3. Jessica Meuse
  4. Jena Irene
  5. Sam Woolf
  6. Dexter Roberts
  7. CJ Harris
  8. Caleb Johnson
  9. 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&9 x7
  • 1&2&3&4,5&6&7&8&9 x3
  • 1&2&6&7,3&5,4,9,8 x1
  • 1&7,6,2&3&4&5&8&9 x1
  • 1,2&3&4&5&6&7&8&9 x1
  • 1,2,3,4,5,6,7,8,9 x1
  • 1,2,4,7,9,8,5,6,3 x1
  • 1,2,4,9,8,5,6,7,3 x1
  • 1,2,5,4,6,3,8,9,7 x1
  • 1,2,5,4,6,9,8,7,3 x1
  • 1,2,5,6,4,7,9,3,8 x1
  • 1,2,5,6,7,8,9,4,3 x1
  • 1,2,5,9,6,8,7,4,3 x1
  • 1,2,6,5,8,9,3,7,4 x1
  • 1,2,6,7,3,4,5,9,8 x1
  • 1,2,6,7,9,5,3,4,8 x1
  • 1,2,6,8,7,5,9,4,3 x1
  • 1,2,6,9,3,4,5,7,8 x1
  • 1,2,6,9,7,8,3,4,5 x1
  • 1,2,6,9,8,5,7,3,4 x1
  • 1,2,6,9,8,7,3,5,4 x1
  • 1,2,7,6,5,9,4,8,3 x1
  • 1,2,7,8,6,3,9,5,4 x1
  • 1,2,7,9,6,5,4,8,3 x1
  • 1,2,7,9,8,4,6,3,5 x1
  • 1,2,7,9,8,4,6,5,3 x1
  • 1,2,9,5,6,7,8,4,3 x1
  • 1,2,9,6,5,7,8,3,4 x1
  • 1,3,7,6,5,9,8,2&4 x1
  • 1,4,3,5,6,8,2,9,7 x1
  • 1,4,6,8,7,9,3,5,2 x1
  • 1,5,2,6,8,7,4,9,3 x1
  • 1,5,2,8,6,9,4,7,3 x1
  • 1,5,6,2,9,7,3,4,8 x1
  • 1,5,6,2,9,7,8,3,4 x1
  • 1,5,6,4,2,3,7,8,9 x1
  • 1,5,6,7,2,9,8,4,3 x1
  • 1,5,6,9,2,4,3,7,8 x1
  • 1,5,7,9,2,8,3,4,6 x1
  • 1,5,8,9,7,6,3,4,2 x1
  • 1,6,2,4,3,7,9,8,5 x1
  • 1,6,2,5,7,8,9,4,3 x1
  • 1,6,2,5,9,8,7,4,3 x1
  • 1,6,2,7,5,3,9,4,8 x1
  • 1,6,2,8,7,3,4,5,9 x1
  • 1,6,2,9,7,4,5,3,8 x1
  • 1,6,5,2,9,7,8,3,4 x1
  • 1,6,5,8,7,2,9,3,4 x1
  • 1,6,7,2,3,9,5,8,4 x1
  • 1,7,5,3,2,6,8,9,4 x1
  • [Remaining ballots not listed]

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

Software version: 2014-Mar-27

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