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VoteFair Ranking Results calculated at  www.VoteFair.org 2013-May-9  21:24

Poll title:

     American Idol, Season 12, Top 3    

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 56 for Angie Miller 356 voters marked Angie Miller as their first choice
Second-most popular Candice Glover Ranking score is 27 for Candice Glover 249 voters marked Candice Glover as their first choice
Third-most popular Kree Harrison Ranking score is 0 for Kree Harrison 171 voters marked Kree Harrison 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

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
(7 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 : Kree Harrison)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Angie Miller 356 46 356 voters marked Angie Miller as their first choice
Candice Glover 249 32 249 voters marked Candice Glover as their first choice
Kree Harrison 171 22 171 voters marked Kree Harrison as their first choice
(11 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: 787
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		 419
419 voters prefer Angie Miller over Candice Glover		 17
17 voters have an equal preference for Angie Miller and Candice Glover		 351
351 voters prefer Candice Glover over Angie Miller
X = Angie Miller
Y = Kree Harrison		 462
462 voters prefer Angie Miller over Kree Harrison		 32
32 voters have an equal preference for Angie Miller and Kree Harrison		 293
293 voters prefer Kree Harrison over Angie Miller
X = Candice Glover
Y = Kree Harrison		 421
421 voters prefer Candice Glover over Kree Harrison		 25
25 voters have an equal preference for Candice Glover and Kree Harrison		 341
341 voters prefer Kree Harrison over Candice Glover
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,302
Number of all possible valid sequences (without ties): 6
First sequence:
  1. Angie Miller
  2. Candice Glover
  3. Kree Harrison
Last sequence:
  1. Kree Harrison
  2. Candice Glover
  3. Angie Miller
© Copyright 2013 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 x9
  • 1&2,3 x1
  • 1&3,2 x1
  • 1,2&3 x16
  • 1,2,3 x171
  • 1,3,2 x169
  • 2,1&3 x22
  • 2,1,3 x105
  • 2,3,1 x122
  • 3,1&2 x7
  • 3,1,2 x62
  • 3,2,1 x102

© Copyright 2013 Solutions Through Innovation at www.VoteFair.org

Software version: 2013-May-9

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.

 Cover of Ending The Hidden Unfairness In U.S. Elections Cover of The Creative Problem Solver's Toolbox

 

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