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VoteFair Ranking Results calculated at  www.VoteFair.org 2013-March-28  18:21

Poll title:

     American Idol, Season 12, Top 8    

Question (number 1) title:

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

The most preferred and most representative choice is:

    Kree Harrison

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Kree Harrison  Ranking score is 70 for Kree Harrison 95 voters marked Kree Harrison as their first choice
Second-most popular Candice Glover  Ranking score is 60 for Candice Glover 67 voters marked Candice Glover as their first choice
Third-most popular Angie Miller  Ranking score is 49 for Angie Miller 110 voters marked Angie Miller as their first choice
Fourth-most popular Amber Holcomb  Ranking score is 38 for Amber Holcomb 45 voters marked Amber Holcomb as their first choice
Fifth-most popular Janelle Arthur  Ranking score is 30 for Janelle Arthur 36 voters marked Janelle Arthur as their first choice
Sixth-most popular Burnell Taylor  Ranking score is 16 for Burnell Taylor 8 voters marked Burnell Taylor as their first choice
Seventh-most popular Devin Velez  Ranking score is 10 for Devin Velez 7 voters marked Devin Velez as their first choice
Eighth-most popular Lazaro Arbos  Ranking score is 0 for Lazaro Arbos 8 voters marked Lazaro Arbos as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Kree Harrison

Second-most representative choice is:

Angie Miller

Third-most representative choice is:

Candice Glover

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 Kree Harrison
Instant runoff Kree Harrison
(9 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 : Devin Velez)
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 Angie Miller

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

Details of plurality results

  
Choice Vote count Percentage
Angie Miller 110 29 110 voters marked Angie Miller as their first choice
Kree Harrison 95 25 95 voters marked Kree Harrison as their first choice
Candice Glover 67 18 67 voters marked Candice Glover as their first choice
Amber Holcomb 45 12 45 voters marked Amber Holcomb as their first choice
Janelle Arthur 36 10 36 voters marked Janelle Arthur as their first choice
Lazaro Arbos 8 2 8 voters marked Lazaro Arbos as their first choice
Burnell Taylor 8 2 8 voters marked Burnell Taylor as their first choice
Devin Velez 7 2 7 voters marked Devin Velez 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: 391
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 = Kree Harrison
Y = Candice Glover
208
208 voters prefer Kree Harrison over Candice Glover
27
27 voters have an equal preference for Kree Harrison over Candice Glover
156
156 voters prefer Candice Glover over Kree Harrison
X = Kree Harrison
Y = Angie Miller
217
217 voters prefer Kree Harrison over Angie Miller
17
17 voters have an equal preference for Kree Harrison over Angie Miller
157
157 voters prefer Angie Miller over Kree Harrison
X = Kree Harrison
Y = Amber Holcomb
261
261 voters prefer Kree Harrison over Amber Holcomb
31
31 voters have an equal preference for Kree Harrison over Amber Holcomb
99
99 voters prefer Amber Holcomb over Kree Harrison
X = Kree Harrison
Y = Janelle Arthur
265
265 voters prefer Kree Harrison over Janelle Arthur
30
30 voters have an equal preference for Kree Harrison over Janelle Arthur
96
96 voters prefer Janelle Arthur over Kree Harrison
X = Kree Harrison
Y = Burnell Taylor
314
314 voters prefer Kree Harrison over Burnell Taylor
26
26 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
319
319 voters prefer Kree Harrison over Devin Velez
28
28 voters have an equal preference for Kree Harrison over Devin Velez
44
44 voters prefer Devin Velez over Kree Harrison
X = Kree Harrison
Y = Lazaro Arbos
337
337 voters prefer Kree Harrison over Lazaro Arbos
26
26 voters have an equal preference for Kree Harrison and Lazaro Arbos
28
28 voters prefer Lazaro Arbos over Kree Harrison
X = Candice Glover
Y = Angie Miller
199
199 voters prefer Candice Glover over Angie Miller
13
13 voters have an equal preference for Candice Glover over Angie Miller
179
179 voters prefer Angie Miller over Candice Glover
X = Candice Glover
Y = Amber Holcomb
247
247 voters prefer Candice Glover over Amber Holcomb
28
28 voters have an equal preference for Candice Glover over Amber Holcomb
116
116 voters prefer Amber Holcomb over Candice Glover
X = Candice Glover
Y = Janelle Arthur
240
240 voters prefer Candice Glover over Janelle Arthur
25
25 voters have an equal preference for Candice Glover and Janelle Arthur
126
126 voters prefer Janelle Arthur over Candice Glover
X = Candice Glover
Y = Burnell Taylor
314
314 voters prefer Candice Glover over Burnell Taylor
24
24 voters have an equal preference for Candice Glover over Burnell Taylor
53
53 voters prefer Burnell Taylor over Candice Glover
X = Candice Glover
Y = Devin Velez
312
312 voters prefer Candice Glover over Devin Velez
28
28 voters have an equal preference for Candice Glover and Devin Velez
51
51 voters prefer Devin Velez over Candice Glover
X = Candice Glover
Y = Lazaro Arbos
335
335 voters prefer Candice Glover over Lazaro Arbos
24
24 voters have an equal preference for Candice Glover and Lazaro Arbos
32
32 voters prefer Lazaro Arbos over Candice Glover
X = Angie Miller
Y = Amber Holcomb
227
227 voters prefer Angie Miller over Amber Holcomb
17
17 voters have an equal preference for Angie Miller over Amber Holcomb
147
147 voters prefer Amber Holcomb over Angie Miller
X = Angie Miller
Y = Janelle Arthur
222
222 voters prefer Angie Miller over Janelle Arthur
20
20 voters have an equal preference for Angie Miller and Janelle Arthur
149
149 voters prefer Janelle Arthur over Angie Miller
X = Angie Miller
Y = Burnell Taylor
290
290 voters prefer Angie Miller over Burnell Taylor
16
16 voters have an equal preference for Angie Miller and Burnell Taylor
85
85 voters prefer Burnell Taylor over Angie Miller
X = Angie Miller
Y = Devin Velez
278
278 voters prefer Angie Miller over Devin Velez
19
19 voters have an equal preference for Angie Miller and Devin Velez
94
94 voters prefer Devin Velez over Angie Miller
X = Angie Miller
Y = Lazaro Arbos
333
333 voters prefer Angie Miller over Lazaro Arbos
15
15 voters have an equal preference for Angie Miller and Lazaro Arbos
43
43 voters prefer Lazaro Arbos over Angie Miller
X = Amber Holcomb
Y = Janelle Arthur
185
185 voters prefer Amber Holcomb over Janelle Arthur
30
30 voters have an equal preference for Amber Holcomb and Janelle Arthur
176
176 voters prefer Janelle Arthur over Amber Holcomb
X = Amber Holcomb
Y = Burnell Taylor
281
281 voters prefer Amber Holcomb over Burnell Taylor
33
33 voters have an equal preference for Amber Holcomb and Burnell Taylor
77
77 voters prefer Burnell Taylor over Amber Holcomb
X = Amber Holcomb
Y = Devin Velez
275
275 voters prefer Amber Holcomb over Devin Velez
32
32 voters have an equal preference for Amber Holcomb and Devin Velez
84
84 voters prefer Devin Velez over Amber Holcomb
X = Amber Holcomb
Y = Lazaro Arbos
312
312 voters prefer Amber Holcomb over Lazaro Arbos
27
27 voters have an equal preference for Amber Holcomb and Lazaro Arbos
52
52 voters prefer Lazaro Arbos over Amber Holcomb
X = Janelle Arthur
Y = Burnell Taylor
258
258 voters prefer Janelle Arthur over Burnell Taylor
31
31 voters have an equal preference for Janelle Arthur over Burnell Taylor
102
102 voters prefer Burnell Taylor over Janelle Arthur
X = Janelle Arthur
Y = Devin Velez
257
257 voters prefer Janelle Arthur over Devin Velez
31
31 voters have an equal preference for Janelle Arthur over Devin Velez
103
103 voters prefer Devin Velez over Janelle Arthur
X = Janelle Arthur
Y = Lazaro Arbos
300
300 voters prefer Janelle Arthur over Lazaro Arbos
27
27 voters have an equal preference for Janelle Arthur and Lazaro Arbos
64
64 voters prefer Lazaro Arbos over Janelle Arthur
X = Burnell Taylor
Y = Devin Velez
189
189 voters prefer Burnell Taylor over Devin Velez
33
33 voters have an equal preference for Burnell Taylor and Devin Velez
169
169 voters prefer Devin Velez over Burnell Taylor
X = Burnell Taylor
Y = Lazaro Arbos
257
257 voters prefer Burnell Taylor over Lazaro Arbos
29
29 voters have an equal preference for Burnell Taylor and Lazaro Arbos
105
105 voters prefer Lazaro Arbos over Burnell Taylor
X = Devin Velez
Y = Lazaro Arbos
261
261 voters prefer Devin Velez over Lazaro Arbos
29
29 voters have an equal preference for Devin Velez and Lazaro Arbos
101
101 voters prefer Lazaro Arbos over Devin Velez
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 7,493
Number of all possible valid sequences (without ties): 40,320
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
Last sequence:
  1. Lazaro Arbos
  2. Kree Harrison
  3. Janelle Arthur
  4. Devin Velez
  5. Candice Glover
  6. Burnell Taylor
  7. Angie Miller
  8. 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 x7
  • 1&2&4&6&7,3&5&8 x1
  • 1&4,7,2&8,3&6,5 x1
  • 1&6&7,4,2&3&5&8 x1
  • 1,2,3,4,5,6,7,8 x3
  • 1,2,4,6,7,5,8,3 x1
  • 1,3,4,5,7,6,2,8 x1
  • 1,3,4,7,5,6,2,8 x1
  • 1,4,2,5,6,7,3,8 x1
  • 1,4,2,7,5,3,6,8 x1
  • 1,4,2,7,5,6,3,8 x1
  • 1,4,2,7,6,5,3,8 x1
  • 1,4,3,5,7&8,6,2 x1
  • 1,4,3,5,7,6,2,8 x2
  • 1,4,3,7,2&5&6&8 x1
  • 1,4,3,7,5,2,8,6 x1
  • 1,4,6,7,2,3,5,8 x1
  • 1,4,6,7,3,2,5,8 x1
  • 1,4,6,7,5,2,3,8 x2
  • 1,4,7,2,6,3,5,8 x1
  • 1,4,7,3,2,6,5,8 x1
  • 1,4,7,5,3,6,2,8 x1
  • 1,4,7,6,2,3,5,8 x1
  • 1,4,7,6,2,8,5,3 x1
  • 1,4,7,6,3,2,8,5 x1
  • 1,4,7,6,5,2,3,8 x1
  • 1,4,7,6,5,3,2,8 x1
  • 1,4,8,7,5,6,2,3 x1
  • 1,5,7,4,2,3,6,8 x1
  • 1,6,2,7,4,5,3,8 x1
  • 1,6,2,7,5,3,4,8 x1
  • 1,6,4,2,7,5,8,3 x1
  • 1,6,4,3,7,5,2,8 x1
  • 1,6,4,7,2,3,8,5 x1
  • 1,6,7,2,3,5,4,8 x2
  • 1,6,7,4,2,3,8,5 x1
  • 1,6,7,4,5,3,2,8 x1
  • 1,7,2,4,6,3,5,8 x2
  • 1,7,3,5,4,2,6,8 x1
  • 1,7,4,2,5,6,3,8 x1
  • 1,7,4,6,3,5,2,8 x1
  • 1,7,6,4,2,3,8,5 x1
  • 1,7,6,4,2,5,8,3 x1
  • 2&4,6,7,5,3,1,8 x1
  • 2&7,4,1,3&8,6,5 x1
  • 2,1&3&4&5&6&7&8 x12
  • 2,1,3,4,6,7,8,5 x1
  • 2,1,3,5,7,4,6,8 x1
  • 2,1,4,3,5&6&7&8 x1
  • 2,1,6,7,4,8,3,5 x1
  • [Remaining ballots not listed]

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

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