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VoteFair Ranking Results calculated at  www.VoteFair.org 2013-March-21  23:51

Poll title:

     American Idol, Season 12, Top 9    

Question (number 1) title:

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

The most preferred and most representative choice is:

    Angie Miller

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Angie Miller  Ranking score is 72 for Angie Miller 117 voters marked Angie Miller as their first choice
Second-most popular Kree Harrison  Ranking score is 62 for Kree Harrison 64 voters marked Kree Harrison as their first choice
Third-most popular Candice Glover  Ranking score is 56 for Candice Glover 61 voters marked Candice Glover as their first choice
Fourth-most popular Amber Holcomb  Ranking score is 40 for Amber Holcomb 23 voters marked Amber Holcomb as their first choice
Fifth-most popular Janelle Arthur  Ranking score is 33 for Janelle Arthur 32 voters marked Janelle Arthur as their first choice
Sixth-most popular Burnell Taylor  Ranking score is 21 for Burnell Taylor 10 voters marked Burnell Taylor as their first choice
Seventh-most popular Devin Velez  Ranking score is 16 for Devin Velez 13 voters marked Devin Velez as their first choice
Eighth-most popular Paul Jolley  Ranking score is 7 for Paul Jolley 2 voters marked Paul Jolley as their first choice
Ninth-most popular Lazaro Arbos  Ranking score is 0 for Lazaro Arbos 22 voters marked Lazaro Arbos as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Angie Miller

Second-most representative choice is:

Candice Glover

Third-most representative choice is:

Kree Harrison

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 Angie Miller
Instant runoff Angie Miller
(18 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 : Paul Jolley)
Majority None of the choices has won a majority (more than half) the votes.

(13 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Angie Miller

(13 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Angie Miller
Borda count Angie Miller
(55 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Angie Miller 117 34 117 voters marked Angie Miller as their first choice
Kree Harrison 64 19 64 voters marked Kree Harrison as their first choice
Candice Glover 61 18 61 voters marked Candice Glover as their first choice
Janelle Arthur 32 9 32 voters marked Janelle Arthur as their first choice
Amber Holcomb 23 7 23 voters marked Amber Holcomb as their first choice
Lazaro Arbos 22 6 22 voters marked Lazaro Arbos as their first choice
Devin Velez 13 4 13 voters marked Devin Velez as their first choice
Burnell Taylor 10 3 10 voters marked Burnell Taylor as their first choice
Paul Jolley 2 1 2 voters marked Paul Jolley as their first choice
(13 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: 357
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 = Angie Miller
Y = Kree Harrison
191
191 voters prefer Angie Miller over Kree Harrison
25
25 voters have an equal preference for Angie Miller and Kree Harrison
141
141 voters prefer Kree Harrison over Angie Miller
X = Angie Miller
Y = Candice Glover
191
191 voters prefer Angie Miller over Candice Glover
27
27 voters have an equal preference for Angie Miller and Candice Glover
139
139 voters prefer Candice Glover over Angie Miller
X = Angie Miller
Y = Amber Holcomb
252
252 voters prefer Angie Miller over Amber Holcomb
26
26 voters have an equal preference for Angie Miller over Amber Holcomb
79
79 voters prefer Amber Holcomb over Angie Miller
X = Angie Miller
Y = Janelle Arthur
250
250 voters prefer Angie Miller over Janelle Arthur
24
24 voters have an equal preference for Angie Miller and Janelle Arthur
83
83 voters prefer Janelle Arthur over Angie Miller
X = Angie Miller
Y = Burnell Taylor
285
285 voters prefer Angie Miller over Burnell Taylor
26
26 voters have an equal preference for Angie Miller and Burnell Taylor
46
46 voters prefer Burnell Taylor over Angie Miller
X = Angie Miller
Y = Devin Velez
277
277 voters prefer Angie Miller over Devin Velez
24
24 voters have an equal preference for Angie Miller and Devin Velez
56
56 voters prefer Devin Velez over Angie Miller
X = Angie Miller
Y = Paul Jolley
305
305 voters prefer Angie Miller over Paul Jolley
24
24 voters have an equal preference for Angie Miller and Paul Jolley
28
28 voters prefer Paul Jolley over Angie Miller
X = Angie Miller
Y = Lazaro Arbos
306
306 voters prefer Angie Miller over Lazaro Arbos
14
14 voters have an equal preference for Angie Miller and Lazaro Arbos
37
37 voters prefer Lazaro Arbos over Angie Miller
X = Kree Harrison
Y = Candice Glover
169
169 voters prefer Kree Harrison over Candice Glover
30
30 voters have an equal preference for Kree Harrison over Candice Glover
158
158 voters prefer Candice Glover over Kree Harrison
X = Kree Harrison
Y = Amber Holcomb
237
237 voters prefer Kree Harrison over Amber Holcomb
28
28 voters have an equal preference for Kree Harrison over Amber Holcomb
92
92 voters prefer Amber Holcomb over Kree Harrison
X = Kree Harrison
Y = Janelle Arthur
230
230 voters prefer Kree Harrison over Janelle Arthur
29
29 voters have an equal preference for Kree Harrison over Janelle Arthur
98
98 voters prefer Janelle Arthur over Kree Harrison
X = Kree Harrison
Y = Burnell Taylor
275
275 voters prefer Kree Harrison over Burnell Taylor
31
31 voters have an equal preference for Kree Harrison over Burnell Taylor
51
51 voters prefer Burnell Taylor over Kree Harrison
X = Kree Harrison
Y = Devin Velez
270
270 voters prefer Kree Harrison over Devin Velez
33
33 voters have an equal preference for Kree Harrison over Devin Velez
54
54 voters prefer Devin Velez over Kree Harrison
X = Kree Harrison
Y = Paul Jolley
301
301 voters prefer Kree Harrison over Paul Jolley
33
33 voters have an equal preference for Kree Harrison and Paul Jolley
23
23 voters prefer Paul Jolley over Kree Harrison
X = Kree Harrison
Y = Lazaro Arbos
296
296 voters prefer Kree Harrison over Lazaro Arbos
18
18 voters have an equal preference for Kree Harrison and Lazaro Arbos
43
43 voters prefer Lazaro Arbos over Kree Harrison
X = Candice Glover
Y = Amber Holcomb
236
236 voters prefer Candice Glover over Amber Holcomb
33
33 voters have an equal preference for Candice Glover over Amber Holcomb
88
88 voters prefer Amber Holcomb over Candice Glover
X = Candice Glover
Y = Janelle Arthur
234
234 voters prefer Candice Glover over Janelle Arthur
28
28 voters have an equal preference for Candice Glover and Janelle Arthur
95
95 voters prefer Janelle Arthur over Candice Glover
X = Candice Glover
Y = Burnell Taylor
274
274 voters prefer Candice Glover over Burnell Taylor
31
31 voters have an equal preference for Candice Glover over Burnell Taylor
52
52 voters prefer Burnell Taylor over Candice Glover
X = Candice Glover
Y = Devin Velez
269
269 voters prefer Candice Glover over Devin Velez
28
28 voters have an equal preference for Candice Glover and Devin Velez
60
60 voters prefer Devin Velez over Candice Glover
X = Candice Glover
Y = Paul Jolley
288
288 voters prefer Candice Glover over Paul Jolley
27
27 voters have an equal preference for Candice Glover and Paul Jolley
42
42 voters prefer Paul Jolley over Candice Glover
X = Candice Glover
Y = Lazaro Arbos
289
289 voters prefer Candice Glover over Lazaro Arbos
15
15 voters have an equal preference for Candice Glover and Lazaro Arbos
53
53 voters prefer Lazaro Arbos over Candice Glover
X = Amber Holcomb
Y = Janelle Arthur
175
175 voters prefer Amber Holcomb over Janelle Arthur
32
32 voters have an equal preference for Amber Holcomb and Janelle Arthur
150
150 voters prefer Janelle Arthur over Amber Holcomb
X = Amber Holcomb
Y = Burnell Taylor
230
230 voters prefer Amber Holcomb over Burnell Taylor
35
35 voters have an equal preference for Amber Holcomb and Burnell Taylor
92
92 voters prefer Burnell Taylor over Amber Holcomb
X = Amber Holcomb
Y = Devin Velez
217
217 voters prefer Amber Holcomb over Devin Velez
33
33 voters have an equal preference for Amber Holcomb and Devin Velez
107
107 voters prefer Devin Velez over Amber Holcomb
X = Amber Holcomb
Y = Paul Jolley
251
251 voters prefer Amber Holcomb over Paul Jolley
31
31 voters have an equal preference for Amber Holcomb and Paul Jolley
75
75 voters prefer Paul Jolley over Amber Holcomb
X = Amber Holcomb
Y = Lazaro Arbos
260
260 voters prefer Amber Holcomb over Lazaro Arbos
20
20 voters have an equal preference for Amber Holcomb and Lazaro Arbos
77
77 voters prefer Lazaro Arbos over Amber Holcomb
X = Janelle Arthur
Y = Burnell Taylor
215
215 voters prefer Janelle Arthur over Burnell Taylor
34
34 voters have an equal preference for Janelle Arthur over Burnell Taylor
108
108 voters prefer Burnell Taylor over Janelle Arthur
X = Janelle Arthur
Y = Devin Velez
211
211 voters prefer Janelle Arthur over Devin Velez
34
34 voters have an equal preference for Janelle Arthur over Devin Velez
112
112 voters prefer Devin Velez over Janelle Arthur
X = Janelle Arthur
Y = Paul Jolley
252
252 voters prefer Janelle Arthur over Paul Jolley
35
35 voters have an equal preference for Janelle Arthur and Paul Jolley
70
70 voters prefer Paul Jolley over Janelle Arthur
X = Janelle Arthur
Y = Lazaro Arbos
266
266 voters prefer Janelle Arthur over Lazaro Arbos
23
23 voters have an equal preference for Janelle Arthur and Lazaro Arbos
68
68 voters prefer Lazaro Arbos over Janelle Arthur
X = Burnell Taylor
Y = Devin Velez
173
173 voters prefer Burnell Taylor over Devin Velez
41
41 voters have an equal preference for Burnell Taylor and Devin Velez
143
143 voters prefer Devin Velez over Burnell Taylor
X = Burnell Taylor
Y = Paul Jolley
197
197 voters prefer Burnell Taylor over Paul Jolley
38
38 voters have an equal preference for Burnell Taylor and Paul Jolley
122
122 voters prefer Paul Jolley over Burnell Taylor
X = Burnell Taylor
Y = Lazaro Arbos
224
224 voters prefer Burnell Taylor over Lazaro Arbos
25
25 voters have an equal preference for Burnell Taylor and Lazaro Arbos
108
108 voters prefer Lazaro Arbos over Burnell Taylor
X = Devin Velez
Y = Paul Jolley
207
207 voters prefer Devin Velez over Paul Jolley
41
41 voters have an equal preference for Devin Velez and Paul Jolley
109
109 voters prefer Paul Jolley over Devin Velez
X = Devin Velez
Y = Lazaro Arbos
240
240 voters prefer Devin Velez over Lazaro Arbos
27
27 voters have an equal preference for Devin Velez and Lazaro Arbos
90
90 voters prefer Lazaro Arbos over Devin Velez
X = Paul Jolley
Y = Lazaro Arbos
212
212 voters prefer Paul Jolley over Lazaro Arbos
26
26 voters have an equal preference for Paul Jolley over Lazaro Arbos
119
119 voters prefer Lazaro Arbos over Paul Jolley
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 8,755
Number of all possible valid sequences (without ties): 362,880
First sequence:
  1. Amber Holcomb
  2. Angie Miller
  3. Burnell Taylor
  4. Candice Glover
  5. Devin Velez
  6. Janelle Arthur
  7. Kree Harrison
  8. Lazaro Arbos
  9. Paul Jolley
Last sequence:
  1. Paul Jolley
  2. Lazaro Arbos
  3. Kree Harrison
  4. Janelle Arthur
  5. Devin Velez
  6. Candice Glover
  7. Burnell Taylor
  8. Angie Miller
  9. Amber Holcomb
© 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 x6
  • 1&2&3&4&8,5&6&7&9 x1
  • 1&2&3&4,5&8,6,7&9 x1
  • 1&2&4&6,3&5&7&8&9 x1
  • 1&2,7,4,3&5&6&8&9 x1
  • 1&4&6,2&3&5&7&8&9 x1
  • 1,2&3&4&5&6&7&8&9 x1
  • 1,2&4&7,6,3&5,8,9 x1
  • 1,2,3,4,5,6,7,8,9 x4
  • 1,2,4,3,7,9,6,5,8 x1
  • 1,2,4,6,7,8,9,3,5 x1
  • 1,2,4,7,6,5,9,8,3 x1
  • 1,4,2,6,7,5,8,9,3 x1
  • 1,4,2,7,3,5,9,6,8 x1
  • 1,4,6,5,7,2,8,3,9 x1
  • 1,4,6,7,5,2,3,9,8 x1
  • 1,4,7,2,3,6,5,9,8 x1
  • 1,4,8,3,6,7,2,9,5 x1
  • 1,5,7,4,3,2,6,9,8 x1
  • 1,6,7,2&4,9,5,3,8 x1
  • 1,6,7,2,3,4,5,9,8 x1
  • 1,6,7,4,3,2,9,5,8 x1
  • 1,6,7,4,5,2,3,8,9 x1
  • 1,7,2,3,4,5,6,9,8 x1
  • 1,7,4,2,5,8,9,6,3 x1
  • 1,7,6,2,9,3,5,4,8 x1
  • 2&7,1&4,5,3&6,9,8 x1
  • 2,1&3&4&5&6&7&8&9 x5
  • 2,1,3,7,4,6,5,9,8 x1
  • 2,1,4,7,6,5,3,9,8 x1
  • 2,1,4,7,9,5,6,3,8 x1
  • 2,1,4,8,6,7,3,9,5 x1
  • 2,1,7,3,4,6,8,5,9 x1
  • 2,1,7,3,8,4,6,5,9 x1
  • 2,1,7,4,6,3,9,8,5 x1
  • 2,1,7,6,4,5,3,9,8 x1
  • 2,3,4,1,6,7,5,8,9 x1
  • 2,3,4,7,1,5,6,8,9 x1
  • 2,3,6,7,9,5,4,8,1 x1
  • 2,3,7,4,5,1,9,8,6 x1
  • 2,4&7,1&8,6,3&5,9 x1
  • 2,4,1,3,6,5&7&8&9 x1
  • 2,4,1,3,7,5,8,9,6 x1
  • 2,4,1,3,7,6,5,9,8 x1
  • 2,4,1,5,7,9,6,3,8 x1
  • 2,4,1,7,3,5,6,9,8 x1
  • 2,4,1,7,6,9,3,5,8 x1
  • 2,4,1,8,6,3,9,5,7 x1
  • 2,4,1,9,7,6,3,5,8 x1
  • 2,4,3,7,1,6,5,9,8 x1
  • [Remaining ballots not listed]

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