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VoteFair Ranking Results calculated at  www.VoteFair.org 2013-April-18  21:56

Poll title:

     American Idol, Season 12, Top 5    

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 62 for Candice Glover 129 voters marked Candice Glover as their first choice
Second-most popular Angie Miller Ranking score is 50 for Angie Miller 153 voters marked Angie Miller as their first choice
Third-most popular Kree Harrison Ranking score is 38 for Kree Harrison 86 voters marked Kree Harrison as their first choice
Fourth-most popular Amber Holcomb Ranking score is 15 for Amber Holcomb 37 voters marked Amber Holcomb as their first choice
Fifth-most popular Janelle Arthur Ranking score is 0 for Janelle Arthur 24 voters marked Janelle Arthur 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
(4 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 : Janelle Arthur)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Angie Miller 153 36 153 voters marked Angie Miller as their first choice
Candice Glover 129 30 129 voters marked Candice Glover as their first choice
Kree Harrison 86 20 86 voters marked Kree Harrison as their first choice
Amber Holcomb 37 9 37 voters marked Amber Holcomb as their first choice
Janelle Arthur 24 6 24 voters marked Janelle Arthur as their first choice
(4 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: 433
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 = Angie Miller		 221
221 voters prefer Candice Glover over Angie Miller		 6
6 voters have an equal preference for Candice Glover over Angie Miller		 206
206 voters prefer Angie Miller over Candice Glover
X = Candice Glover
Y = Kree Harrison		 214
214 voters prefer Candice Glover over Kree Harrison		 11
11 voters have an equal preference for Candice Glover and Kree Harrison		 208
208 voters prefer Kree Harrison over Candice Glover
X = Candice Glover
Y = Amber Holcomb		 307
307 voters prefer Candice Glover over Amber Holcomb		 5
5 voters have an equal preference for Candice Glover over Amber Holcomb		 121
121 voters prefer Amber Holcomb over Candice Glover
X = Candice Glover
Y = Janelle Arthur		 337
337 voters prefer Candice Glover over Janelle Arthur		 7
7 voters have an equal preference for Candice Glover and Janelle Arthur		 89
89 voters prefer Janelle Arthur over Candice Glover
X = Angie Miller
Y = Kree Harrison		 230
230 voters prefer Angie Miller over Kree Harrison		 11
11 voters have an equal preference for Angie Miller and Kree Harrison		 192
192 voters prefer Kree Harrison over Angie Miller
X = Angie Miller
Y = Amber Holcomb		 289
289 voters prefer Angie Miller over Amber Holcomb		 6
6 voters have an equal preference for Angie Miller over Amber Holcomb		 138
138 voters prefer Amber Holcomb over Angie Miller
X = Angie Miller
Y = Janelle Arthur		 340
340 voters prefer Angie Miller over Janelle Arthur		 10
10 voters have an equal preference for Angie Miller and Janelle Arthur		 83
83 voters prefer Janelle Arthur over Angie Miller
X = Kree Harrison
Y = Amber Holcomb		 309
309 voters prefer Kree Harrison over Amber Holcomb		 8
8 voters have an equal preference for Kree Harrison over Amber Holcomb		 116
116 voters prefer Amber Holcomb over Kree Harrison
X = Kree Harrison
Y = Janelle Arthur		 349
349 voters prefer Kree Harrison over Janelle Arthur		 7
7 voters have an equal preference for Kree Harrison over Janelle Arthur		 77
77 voters prefer Janelle Arthur over Kree Harrison
X = Amber Holcomb
Y = Janelle Arthur		 259
259 voters prefer Amber Holcomb over Janelle Arthur		 10
10 voters have an equal preference for Amber Holcomb and Janelle Arthur		 164
164 voters prefer Janelle Arthur over Amber Holcomb
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 2,855
Number of all possible valid sequences (without ties): 120
First sequence:
  1. Amber Holcomb
  2. Angie Miller
  3. Candice Glover
  4. Janelle Arthur
  5. Kree Harrison
Last sequence:
  1. Kree Harrison
  2. Janelle Arthur
  3. Candice Glover
  4. Angie Miller
  5. 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&4,2&3&5 x1
  • 1,2&3&4&5 x2
  • 1,2,3&5,4 x1
  • 1,2,3,4,5 x2
  • 1,2,3,5,4 x1
  • 1,2,4,3,5 x1
  • 1,2,5,3,4 x1
  • 1,3,2,4,5 x4
  • 1,3,2,5,4 x12
  • 1,3,4,5,2 x1
  • 1,3,5,2&4 x1
  • 1,3,5,2,4 x4
  • 1,3,5,4,2 x1
  • 1,5,2,3,4 x3
  • 1,5,3,2,4 x1
  • 1,5,3,4,2 x1
  • 1,5,4,3,2 x1
  • 2&3&5,1&4 x1
  • 2&5,1&3,4 x1
  • 2,1&3&4&5 x2
  • 2,1&3,5,4 x1
  • 2,1,3,5,4 x7
  • 2,1,4,3,5 x1
  • 2,1,4,5,3 x1
  • 2,1,5,3,4 x6
  • 2,1,5,4,3 x2
  • 2,3&5,4,1 x1
  • 2,3,1,4,5 x1
  • 2,3,1,5,4 x11
  • 2,3,4,1,5 x1
  • 2,3,4,5,1 x1
  • 2,3,5,1,4 x19
  • 2,3,5,4,1 x9
  • 2,4,1&5,3 x2
  • 2,4,1,3&5 x1
  • 2,4,1,3,5 x2
  • 2,4,1,5,3 x6
  • 2,4,3,5,1 x1
  • 2,4,5,1,3 x3
  • 2,4,5,3,1 x9
  • 2,5,1&4,3 x1
  • 2,5,1,3,4 x13
  • 2,5,1,4,3 x2
  • 2,5,3&4,1 x2
  • 2,5,3,1,4 x22
  • 2,5,3,4,1 x13
  • 2,5,4,1,3 x6
  • 2,5,4,3,1 x7
  • 3&5,1&2,4 x1
  • 3,1&2&4&5 x2
  • [Remaining ballots not listed]

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

Software version: 2013-Apr-18

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