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VoteFair Ranking Results calculated at  www.VoteFair.org 2011-May-12  23:06

Poll title:

     American Idol, Season 10, Top 4    

Question (number 1) title:

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

The most preferred and most representative choice is:

    James Durbin

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular James Durbin Ranking score is 54 for James Durbin 721 voters marked James Durbin as their first choice
Second-most popular Scotty McCreery Ranking score is 37 for Scotty McCreery 716 voters marked Scotty McCreery as their first choice
Third-most popular Haley Reinhart Ranking score is 18 for Haley Reinhart 828 voters marked Haley Reinhart as their first choice
Fourth-most popular Lauren Alaina Ranking score is 0 for Lauren Alaina 282 voters marked Lauren Alaina as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

James Durbin

Second-most representative choice is:

Haley Reinhart

Third-most representative choice is:

Scotty McCreery

Fourth-most representative choice is:

Lauren Alaina

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 James Durbin
Instant runoff Scotty McCreery
(34 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 : Lauren Alaina)
Majority None of the choices has won a majority (more than half) the votes.

(49 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Haley Reinhart

(49 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet James Durbin
Borda count James Durbin
(172 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Haley Reinhart 828 33 828 voters marked Haley Reinhart as their first choice
James Durbin 721 28 721 voters marked James Durbin as their first choice
Scotty McCreery 716 28 716 voters marked Scotty McCreery as their first choice
Lauren Alaina 282 11 282 voters marked Lauren Alaina as their first choice
(49 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: 2,596
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 = James Durbin
Y = Scotty McCreery		 1,302
1,302 voter prefer James Durbin over Scotty McCreery		 53
53 voters have an equal preference for James Durbin and Scotty McCreery		 1,241
1,241 voter prefer Scotty McCreery over James Durbin
X = James Durbin
Y = Haley Reinhart		 1,338
1,338 voter prefer James Durbin over Haley Reinhart		 65
65 voters have an equal preference for James Durbin over Haley Reinhart		 1,193
1,193 voter prefer Haley Reinhart over James Durbin
X = James Durbin
Y = Lauren Alaina		 1,540
1,540 voter prefer James Durbin over Lauren Alaina		 79
79 voters have an equal preference for James Durbin and Lauren Alaina		 977
977 voters prefer Lauren Alaina over James Durbin
X = Scotty McCreery
Y = Haley Reinhart		 1,307
1,307 voter prefer Scotty McCreery over Haley Reinhart		 47
47 voters have an equal preference for Scotty McCreery over Haley Reinhart		 1,242
1,242 voter prefer Haley Reinhart over Scotty McCreery
X = Scotty McCreery
Y = Lauren Alaina		 1,572
1,572 voter prefer Scotty McCreery over Lauren Alaina		 71
71 voters have an equal preference for Scotty McCreery over Lauren Alaina		 953
953 voters prefer Lauren Alaina over Scotty McCreery
X = Haley Reinhart
Y = Lauren Alaina		 1,426
1,426 voter prefer Haley Reinhart over Lauren Alaina		 76
76 voters have an equal preference for Haley Reinhart and Lauren Alaina		 1,094
1,094 voter prefer Lauren Alaina over Haley Reinhart
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 8,485
Number of all possible valid sequences (without ties): 24
First sequence:
  1. Haley Reinhart
  2. James Durbin
  3. Lauren Alaina
  4. Scotty McCreery
Last sequence:
  1. Scotty McCreery
  2. Lauren Alaina
  3. James Durbin
  4. Haley Reinhart
© 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 x10
  • 1&2&3,4 x1
  • 1&2,3&4 x1
  • 1&2,4,3 x2
  • 1&3,2&4 x2
  • 1&3,2,4 x4
  • 1&3,4,2 x1
  • 1&4,2&3 x1
  • 1&4,2,3 x3
  • 1&4,3,2 x1
  • 1,2&3&4 x20
  • 1,2&3,4 x1
  • 1,2&4,3 x4
  • 1,2,3&4 x4
  • 1,2,3,4 x187
  • 1,2,4,3 x191
  • 1,3,2,4 x85
  • 1,3,4,2 x122
  • 1,4,2&3 x2
  • 1,4,2,3 x101
  • 1,4,3,2 x111
  • 2&3&4,1 x3
  • 2&3,1,4 x1
  • 2&3,4,1 x1
  • 2&4,1&3 x2
  • 2&4,1,3 x1
  • 2&4,3,1 x3
  • 2,1&3&4 x17
  • 2,1&3,4 x1
  • 2,1&4,3 x1
  • 2,1,3&4 x3
  • 2,1,3,4 x108
  • 2,1,4,3 x137
  • 2,3&4,1 x1
  • 2,3,1&4 x5
  • 2,3,1,4 x57
  • 2,3,4,1 x95
  • 2,4,1&3 x5
  • 2,4,1,3 x107
  • 2,4,3,1 x184
  • 3&4,1&2 x7
  • 3&4,1,2 x1
  • 3&4,2,1 x4
  • 3,1&2&4 x5
  • 3,1&4,2 x1
  • 3,1,2&4 x1
  • 3,1,2,4 x35
  • 3,1,4,2 x31
  • 3,2&4,1 x2
  • 3,2,1&4 x3
  • [Remaining ballots not listed]

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

Software version: 2011-May-12

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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