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Poll title:

     American Idol, Season 12, Top 4    

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 66 for Angie Miller 263 voters marked Angie Miller as their first choice
Second-most popular Candice Glover Ranking score is 38 for Candice Glover 100 voters marked Candice Glover as their first choice
Third-most popular Kree Harrison Ranking score is 20 for Kree Harrison 101 voters marked Kree Harrison as their first choice
Fourth-most popular Amber Holcomb Ranking score is 0 for Amber Holcomb 61 voters marked Amber Holcomb 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

Fourth-most representative choice is:

Amber Holcomb

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
Majority Angie Miller

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

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

Details of plurality results

  
Choice Vote count Percentage
Angie Miller 263 50 263 voters marked Angie Miller as their first choice
Kree Harrison 101 19 101 voters marked Kree Harrison as their first choice
Candice Glover 100 19 100 voters marked Candice Glover as their first choice
Amber Holcomb 61 12 61 voters marked Amber Holcomb as their first choice
(9 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: 534
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 = Candice Glover		 333
333 voters prefer Angie Miller over Candice Glover		 7
7 voters have an equal preference for Angie Miller and Candice Glover		 194
194 voters prefer Candice Glover over Angie Miller
X = Angie Miller
Y = Kree Harrison		 339
339 voters prefer Angie Miller over Kree Harrison		 20
20 voters have an equal preference for Angie Miller and Kree Harrison		 175
175 voters prefer Kree Harrison over Angie Miller
X = Angie Miller
Y = Amber Holcomb		 390
390 voters prefer Angie Miller over Amber Holcomb		 14
14 voters have an equal preference for Angie Miller over Amber Holcomb		 130
130 voters prefer Amber Holcomb over Angie Miller
X = Candice Glover
Y = Kree Harrison		 274
274 voters prefer Candice Glover over Kree Harrison		 10
10 voters have an equal preference for Candice Glover and Kree Harrison		 250
250 voters prefer Kree Harrison over Candice Glover
X = Candice Glover
Y = Amber Holcomb		 341
341 voters prefer Candice Glover over Amber Holcomb		 22
22 voters have an equal preference for Candice Glover over Amber Holcomb		 171
171 voters prefer Amber Holcomb over Candice Glover
X = Kree Harrison
Y = Amber Holcomb		 315
315 voters prefer Kree Harrison over Amber Holcomb		 18
18 voters have an equal preference for Kree Harrison over Amber Holcomb		 201
201 voters prefer Amber Holcomb over Kree Harrison
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,992
Number of all possible valid sequences (without ties): 24
First sequence:
  1. Amber Holcomb
  2. Angie Miller
  3. Candice Glover
  4. Kree Harrison
Last sequence:
  1. Kree Harrison
  2. Candice Glover
  3. Angie Miller
  4. 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 x2
  • 1&3,2&4 x1
  • 1,2&3&4 x1
  • 1,2,3&4 x1
  • 1,2,3,4 x12
  • 1,2,4,3 x8
  • 1,3,2&4 x1
  • 1,3,2,4 x16
  • 1,3,4,2 x14
  • 1,4,2,3 x3
  • 1,4,3,2 x5
  • 2&3&4,1 x1
  • 2&4,1&3 x4
  • 2&4,3,1 x1
  • 2,1&3&4 x5
  • 2,1&3,4 x2
  • 2,1&4,3 x2
  • 2,1,3,4 x40
  • 2,1,4,3 x29
  • 2,3,1&4 x1
  • 2,3,1,4 x27
  • 2,3,4,1 x60
  • 2,4,1&3 x3
  • 2,4,1,3 x20
  • 2,4,3,1 x74
  • 3,1&2&4 x7
  • 3,1&2,4 x1
  • 3,1&4,2 x1
  • 3,1,2&4 x2
  • 3,1,2,4 x10
  • 3,1,4,2 x16
  • 3,2,1,4 x12
  • 3,2,4,1 x16
  • 3,4,1&2 x1
  • 3,4,1,2 x7
  • 3,4,2,1 x27
  • 4,1&2&3 x3
  • 4,1&3,2 x1
  • 4,1,2,3 x4
  • 4,1,3,2 x6
  • 4,2,1&3 x1
  • 4,2,1,3 x9
  • 4,2,3,1 x27
  • 4,3,1,2 x21
  • 4,3,2,1 x29

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

Software version: 2013-Apr-25

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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