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VoteFair Ranking Results calculated at  www.VoteFair.org 2008-May-14  18:04

Poll title:

     American Idol Season 7, Top 3    

Question (number 1) title:

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

The most preferred and most representative choice is:

    David Archuleta

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular David Archuleta Ranking score is 68 for David Archuleta 1132 voters marked David Archuleta as their first choice
Second-most popular David Cook Ranking score is 32 for David Cook 711 voters marked David Cook as their first choice
Third-most popular Syesha Mercado Ranking score is 0 for Syesha Mercado 105 voters marked Syesha Mercado as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

David Archuleta

Second-most representative choice is:

David Cook

Third-most representative choice is:

Syesha Mercado

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 David Archuleta
Instant runoff David Archuleta
Majority David Archuleta

(3 ballots ignored because they rank more than one choice as the most-preferred choice. )
Plurality David Archuleta

(3 ballots ignored because they rank more than one choice as the most-preferred choice. )
Condorcet David Archuleta
Borda count David Archuleta
(63 ballots ignored because they rank more than one choice at the same preference level. )

Details of plurality results

  
Choice Vote count Percentage
David Archuleta 1,132 58 1132 voters marked David Archuleta as their first choice
David Cook 711 36 711 voters marked David Cook as their first choice
Syesha Mercado 105 5 105 voters marked Syesha Mercado as their first choice
(3 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: 1,951
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 = David Archuleta
Y = David Cook		 1,168
1,168 voter prefer David Archuleta over David Cook		 3
3 voters have an equal preference for David Archuleta and David Cook		 780
780 voters prefer David Cook over David Archuleta
X = David Archuleta
Y = Syesha Mercado		 1,479
1,479 voter prefer David Archuleta over Syesha Mercado		 23
23 voters have an equal preference for David Archuleta over Syesha Mercado		 449
449 voters prefer Syesha Mercado over David Archuleta
X = David Cook
Y = Syesha Mercado		 1,254
1,254 voter prefer David Cook over Syesha Mercado		 37
37 voters have an equal preference for David Cook over Syesha Mercado		 660
660 voters prefer Syesha Mercado over David Cook
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 3,901
Number of all possible valid sequences (without ties): 6
First sequence:
  1. Syesha Mercado
  2. David Archuleta
  3. David Cook
Last sequence:
  1. David Cook
  2. David Archuleta
  3. Syesha Mercado
© Copyright 2007 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 x1
  • 1&3,2 x1
  • 1,2&3 x2
  • 1,2,3 x35
  • 1,3,2 x68
  • 2&3,1 x1
  • 2,1&3 x36
  • 2,1,3 x554
  • 2,3,1 x542
  • 3,1&2 x22
  • 3,1,2 x343
  • 3,2,1 x346

© Copyright 2007 Solutions Through Innovation at www.VoteFair.org

Software version: 2007-Nov-3

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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