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VoteFair Ranking Results calculated at  www.VoteFair.org 2013-April-11  23:42

Poll title:

     American Idol, Season 12, Top 6    

Question (number 1) title:

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

The most preferred and most representative choice is:

    Candice Glover

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Candice Glover  Ranking score is 68 for Candice Glover 160 voters marked Candice Glover as their first choice
Second-most popular Kree Harrison  Ranking score is 57 for Kree Harrison 98 voters marked Kree Harrison as their first choice
Third-most popular Angie Miller  Ranking score is 45 for Angie Miller 129 voters marked Angie Miller as their first choice
Fourth-most popular Amber Holcomb  Ranking score is 28 for Amber Holcomb 43 voters marked Amber Holcomb as their first choice
Fifth-most popular Janelle Arthur  Ranking score is 17 for Janelle Arthur 30 voters marked Janelle Arthur as their first choice
Sixth-most popular Lazaro Arbos  Ranking score is 0 for Lazaro Arbos 19 voters marked Lazaro Arbos as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Candice Glover

Second-most representative choice is:

Angie Miller

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 Candice Glover
Instant runoff Candice Glover
(10 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 : Lazaro Arbos)
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 Candice Glover

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

Details of plurality results

  
Choice Vote count Percentage
Candice Glover 160 33 160 voters marked Candice Glover as their first choice
Angie Miller 129 27 129 voters marked Angie Miller as their first choice
Kree Harrison 98 20 98 voters marked Kree Harrison as their first choice
Amber Holcomb 43 9 43 voters marked Amber Holcomb as their first choice
Janelle Arthur 30 6 30 voters marked Janelle Arthur as their first choice
Lazaro Arbos 19 4 19 voters marked Lazaro Arbos 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: 492
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 = Candice Glover
Y = Kree Harrison
256
256 voters prefer Candice Glover over Kree Harrison
18
18 voters have an equal preference for Candice Glover and Kree Harrison
218
218 voters prefer Kree Harrison over Candice Glover
X = Candice Glover
Y = Angie Miller
276
276 voters prefer Candice Glover over Angie Miller
13
13 voters have an equal preference for Candice Glover over Angie Miller
203
203 voters prefer Angie Miller over Candice Glover
X = Candice Glover
Y = Amber Holcomb
337
337 voters prefer Candice Glover over Amber Holcomb
21
21 voters have an equal preference for Candice Glover over Amber Holcomb
134
134 voters prefer Amber Holcomb over Candice Glover
X = Candice Glover
Y = Janelle Arthur
359
359 voters prefer Candice Glover over Janelle Arthur
15
15 voters have an equal preference for Candice Glover and Janelle Arthur
118
118 voters prefer Janelle Arthur over Candice Glover
X = Candice Glover
Y = Lazaro Arbos
436
436 voters prefer Candice Glover over Lazaro Arbos
14
14 voters have an equal preference for Candice Glover and Lazaro Arbos
42
42 voters prefer Lazaro Arbos over Candice Glover
X = Kree Harrison
Y = Angie Miller
251
251 voters prefer Kree Harrison over Angie Miller
18
18 voters have an equal preference for Kree Harrison over Angie Miller
223
223 voters prefer Angie Miller over Kree Harrison
X = Kree Harrison
Y = Amber Holcomb
323
323 voters prefer Kree Harrison over Amber Holcomb
18
18 voters have an equal preference for Kree Harrison over Amber Holcomb
151
151 voters prefer Amber Holcomb over Kree Harrison
X = Kree Harrison
Y = Janelle Arthur
378
378 voters prefer Kree Harrison over Janelle Arthur
14
14 voters have an equal preference for Kree Harrison over Janelle Arthur
100
100 voters prefer Janelle Arthur over Kree Harrison
X = Kree Harrison
Y = Lazaro Arbos
442
442 voters prefer Kree Harrison over Lazaro Arbos
13
13 voters have an equal preference for Kree Harrison and Lazaro Arbos
37
37 voters prefer Lazaro Arbos over Kree Harrison
X = Angie Miller
Y = Amber Holcomb
307
307 voters prefer Angie Miller over Amber Holcomb
14
14 voters have an equal preference for Angie Miller over Amber Holcomb
171
171 voters prefer Amber Holcomb over Angie Miller
X = Angie Miller
Y = Janelle Arthur
351
351 voters prefer Angie Miller over Janelle Arthur
20
20 voters have an equal preference for Angie Miller and Janelle Arthur
121
121 voters prefer Janelle Arthur over Angie Miller
X = Angie Miller
Y = Lazaro Arbos
441
441 voters prefer Angie Miller over Lazaro Arbos
15
15 voters have an equal preference for Angie Miller and Lazaro Arbos
36
36 voters prefer Lazaro Arbos over Angie Miller
X = Amber Holcomb
Y = Janelle Arthur
278
278 voters prefer Amber Holcomb over Janelle Arthur
18
18 voters have an equal preference for Amber Holcomb and Janelle Arthur
196
196 voters prefer Janelle Arthur over Amber Holcomb
X = Amber Holcomb
Y = Lazaro Arbos
420
420 voters prefer Amber Holcomb over Lazaro Arbos
17
17 voters have an equal preference for Amber Holcomb and Lazaro Arbos
55
55 voters prefer Lazaro Arbos over Amber Holcomb
X = Janelle Arthur
Y = Lazaro Arbos
424
424 voters prefer Janelle Arthur over Lazaro Arbos
17
17 voters have an equal preference for Janelle Arthur and Lazaro Arbos
51
51 voters prefer Lazaro Arbos over Janelle Arthur
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 5,279
Number of all possible valid sequences (without ties): 720
First sequence:
  1. Amber Holcomb
  2. Angie Miller
  3. Candice Glover
  4. Janelle Arthur
  5. Kree Harrison
  6. Lazaro Arbos
Last sequence:
  1. Lazaro Arbos
  2. Kree Harrison
  3. Janelle Arthur
  4. Candice Glover
  5. Angie Miller
  6. 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 x2
  • 1&2&3&4&5,6 x1
  • 1&2&4&5,3,6 x1
  • 1&3&5&6,4,2 x1
  • 1&3,2&4&5&6 x1
  • 1&6,5,3,4,2 x1
  • 1,2&5,3,4,6 x1
  • 1,2,3,4,5,6 x3
  • 1,2,3,5,4,6 x5
  • 1,2,4,3,5,6 x1
  • 1,2,5,3,4,6 x1
  • 1,2,5,4,3,6 x1
  • 1,2,5,4,6,3 x1
  • 1,2,6,4,5,3 x1
  • 1,3&5,2&4&6 x1
  • 1,3,2,4,5,6 x3
  • 1,3,2,5,4,6 x4
  • 1,3,4,2,5,6 x1
  • 1,3,5,2&4&6 x1
  • 1,3,5,2,4,6 x4
  • 1,3,5,4,2,6 x4
  • 1,4,2,3,5,6 x1
  • 1,4,3,2,5,6 x1
  • 1,4,3,5,2,6 x1
  • 1,4,5,2,3,6 x1
  • 1,5,3,2,4,6 x1
  • 1,5,3,2,6,4 x1
  • 1,5,3,4,2,6 x3
  • 1,5,3,6,2&4 x1
  • 1,5,4,2,3,6 x1
  • 2&3&5,1&4,6 x1
  • 2&3&5,1,4,6 x1
  • 2&4&5,1&3&6 x1
  • 2&4&6,1&3&5 x1
  • 2&5,1&3,4,6 x1
  • 2,1&3&4&5&6 x2
  • 2,1&4&6,3&5 x1
  • 2,1,3,4,5,6 x1
  • 2,1,3,4,6,5 x1
  • 2,1,3,5,4,6 x5
  • 2,1,3,6,4,5 x1
  • 2,1,4,3&5&6 x1
  • 2,1,4,3,5,6 x3
  • 2,1,4,5,6,3 x1
  • 2,1,5,3,4,6 x3
  • 2,1,5,4,3,6 x3
  • 2,3&4&5&6,1 x1
  • 2,3&4,1&5,6 x1
  • 2,3,1,4,5,6 x1
  • 2,3,1,5,4,6 x7
  • [Remaining ballots not listed]

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

Software version: 2013-Apr-11

The free VoteFair ranking service is subsidized by sales of Ending The Hidden Unfairness In U.S. Elections and The Creative Problem Solver's Toolbox, which were written by Richard Fobes, the inventor of VoteFair ranking and the programmer and writer for the VoteFair site.

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