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VoteFair Ranking Results calculated at  www.VoteFair.org 2013-May-2  21:54

Poll title:

     American Idol, Season 12, Top 4, second week    

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 62 for Angie Miller 229 voters marked Angie Miller as their first choice
Second-most popular Candice Glover  Ranking score is 42 for Candice Glover 139 voters marked Candice Glover as their first choice
Third-most popular Kree Harrison  Ranking score is 22 for Kree Harrison 117 voters marked Kree Harrison as their first choice
Fourth-most popular Amber Holcomb  Ranking score is 0 for Amber Holcomb 43 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
(2 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 : Amber Holcomb)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Angie Miller 229 43 229 voters marked Angie Miller as their first choice
Candice Glover 139 26 139 voters marked Candice Glover as their first choice
Kree Harrison 117 22 117 voters marked Kree Harrison as their first choice
Amber Holcomb 43 8 43 voters marked Amber Holcomb as their first choice
(6 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
288
288 voters prefer Angie Miller over Candice Glover
5
5 voters have an equal preference for Angie Miller and Candice Glover
241
241 voters prefer Candice Glover over Angie Miller
X = Angie Miller
Y = Kree Harrison
312
312 voters prefer Angie Miller over Kree Harrison
16
16 voters have an equal preference for Angie Miller and Kree Harrison
206
206 voters prefer Kree Harrison over Angie Miller
X = Angie Miller
Y = Amber Holcomb
388
388 voters prefer Angie Miller over Amber Holcomb
13
13 voters have an equal preference for Angie Miller over Amber Holcomb
133
133 voters prefer Amber Holcomb over Angie Miller
X = Candice Glover
Y = Kree Harrison
269
269 voters prefer Candice Glover over Kree Harrison
21
21 voters have an equal preference for Candice Glover and Kree Harrison
244
244 voters prefer Kree Harrison over Candice Glover
X = Candice Glover
Y = Amber Holcomb
396
396 voters prefer Candice Glover over Amber Holcomb
22
22 voters have an equal preference for Candice Glover over Amber Holcomb
116
116 voters prefer Amber Holcomb over Candice Glover
X = Kree Harrison
Y = Amber Holcomb
355
355 voters prefer Kree Harrison over Amber Holcomb
28
28 voters have an equal preference for Kree Harrison over Amber Holcomb
151
151 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: 2,008
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&2&4,3 x1
  • 1&3,2&4 x1
  • 1,2,3&4 x2
  • 1,2,3,4 x7
  • 1,2,4,3 x3
  • 1,3,2&4 x3
  • 1,3,2,4 x12
  • 1,3,4,2 x8
  • 1,4,2,3 x2
  • 1,4,3,2 x6
  • 2&3,4,1 x1
  • 2,1&3&4 x15
  • 2,1,3&4 x1
  • 2,1,3,4 x12
  • 2,1,4,3 x15
  • 2,3,1&4 x2
  • 2,3,1,4 x25
  • 2,3,4,1 x59
  • 2,4,1,3 x25
  • 2,4,3,1 x75
  • 3&4,1&2 x1
  • 3,1&2&4 x7
  • 3,1,2&4 x1
  • 3,1,2,4 x12
  • 3,1,4,2 x22
  • 3,2&4,1 x1
  • 3,2,1&4 x1
  • 3,2,1,4 x19
  • 3,2,4,1 x26
  • 3,4,1,2 x28
  • 3,4,2,1 x22
  • 4,1&2&3 x2
  • 4,1,2,3 x4
  • 4,1,3,2 x6
  • 4,2,1&3 x2
  • 4,2,1,3 x9
  • 4,2,3,1 x29
  • 4,3,1,2 x16
  • 4,3,2,1 x49

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

Software version: 2013-May-2

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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