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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-May-10  16:39


Poll title:

     American Idol Season 5 Poll, Top 4    

Question (number 1) title:

     Please rank the American Idol singers:    



The most preferred and most representative choice is:

    Taylor Hicks

Overall popularity ranking:

     
Popularity Choice Graphic summary of tally information
(details in mouse-over ALT text)
First-most popular Taylor Hicks 490 voters prefer Taylor Hicks over Elliott Yamin12 voters have an equal preference for Taylor Hicks and Elliott Yamin270 voters prefer Elliott Yamin over Taylor Hicks 446 voters prefer Taylor Hicks over Chris Daughtry17 voters have an equal preference for Taylor Hicks and Chris Daughtry309 voters prefer Chris Daughtry over Taylor Hicks 541 voter prefers Taylor Hicks over Katharine McPhee15 voters have an equal preference for Taylor Hicks and Katharine McPhee216 voters prefer Katharine McPhee over Taylor Hicks
Second-most popular Elliott Yamin The percent bars above indicate comparisons with the choice to the left 386 voters prefer Elliott Yamin over Chris Daughtry20 voters have an equal preference for Elliott Yamin and Chris Daughtry366 voters prefer Chris Daughtry over Elliott Yamin 482 voters prefer Elliott Yamin over Katharine McPhee18 voters have an equal preference for Elliott Yamin and Katharine McPhee272 voters prefer Katharine McPhee over Elliott Yamin
Third-most popular Chris Daughtry The percent bars above indicate comparisons with the choice to the left 513 voters prefer Chris Daughtry over Katharine McPhee29 voters have an equal preference for Chris Daughtry and Katharine McPhee230 voters prefer Katharine McPhee over Chris Daughtry
Fourth-most popular Katharine McPhee The percent bars above indicate comparisons with the choice to the left



VoteFair representation Ranking

  
First-most representative choice is: Taylor Hicks
Second-most representative choice is: Chris Daughtry
Additional levels of representation were not calculated.
(There may be too many questions, too many choices for this question, or too many votes, or no further calculations were requested.)

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 on a board of directors, or when an organization pursues a second activity in addition to the most popular activity.


Comparison of VoteFair Ranking with other voting methods

  
Voting method Winner
VoteFair Taylor Hicks
Instant runoff Taylor Hicks
(11 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: Katharine McPhee)
Majority None of the choices has won a majority ( more than half ) the votes.

(8 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Taylor Hicks

(8 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Taylor Hicks
Borda count Taylor Hicks

(49 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results
  
Choice Vote count Percentage Percentage bar
Taylor Hicks 338 44 338 voters marked Taylor Hicks as their first choice
Chris Daughtry 191 25 191 voter marked Chris Daughtry as their first choice
Elliott Yamin 136 18 136 voters marked Elliott Yamin as their first choice
Katharine McPhee 99 13 99 voters marked Katharine McPhee as their first choice
(8 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: 772
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 = Taylor Hicks
Y = Elliott Yamin		 490
490 voters prefer Taylor Hicks over Elliott Yamin		 12
12 voters have an equal preference for Taylor Hicks and Elliott Yamin		 270
270 voters prefer Elliott Yamin over Taylor Hicks
X = Taylor Hicks
Y = Chris Daughtry		 446
446 voters prefer Taylor Hicks over Chris Daughtry		 17
17 voters have an equal preference for Taylor Hicks and Chris Daughtry		 309
309 voters prefer Chris Daughtry over Taylor Hicks
X = Taylor Hicks
Y = Katharine McPhee		 541
541 voter prefers Taylor Hicks over Katharine McPhee		 15
15 voters have an equal preference for Taylor Hicks and Katharine McPhee		 216
216 voters prefer Katharine McPhee over Taylor Hicks
X = Elliott Yamin
Y = Chris Daughtry		 386
386 voters prefer Elliott Yamin over Chris Daughtry		 20
20 voters have an equal preference for Elliott Yamin and Chris Daughtry		 366
366 voters prefer Chris Daughtry over Elliott Yamin
X = Elliott Yamin
Y = Katharine McPhee		 482
482 voters prefer Elliott Yamin over Katharine McPhee		 18
18 voters have an equal preference for Elliott Yamin and Katharine McPhee		 272
272 voters prefer Katharine McPhee over Elliott Yamin
X = Chris Daughtry
Y = Katharine McPhee		 513
513 voters prefer Chris Daughtry over Katharine McPhee		 29
29 voters have an equal preference for Chris Daughtry and Katharine McPhee		 230
230 voters prefer Katharine McPhee over Chris Daughtry
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 2,858
Number of all possible valid sequences (without ties): 24
First sequence:
  1. Katharine McPhee
  2. Chris Daughtry
  3. Elliott Yamin
  4. Taylor Hicks
Last sequence:
  1. Taylor Hicks
  2. Elliott Yamin
  3. Chris Daughtry
  4. Katharine McPhee
© Copyright 2006 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 x4
  • 1,2&3&4 x2
  • 1,2,3&4 x3
  • 1,2,3,4 x21
  • 1,2,4,3 x20
  • 1,3&4,2 x1
  • 1,3,2&4 x2
  • 1,3,2,4 x9
  • 1,3,4,2 x17
  • 1,4,2,3 x16
  • 1,4,3,2 x8
  • 2&3,4,1 x1
  • 2&4,1,3 x1
  • 2&4,3,1 x2
  • 2,1&3&4 x2
  • 2,1&4,3 x2
  • 2,1,3,4 x38
  • 2,1,4,3 x27
  • 2,3,1,4 x14
  • 2,3,4,1 x32
  • 2,4,1,3 x24
  • 2,4,3,1 x52
  • 3,1&2&4 x6
  • 3,1&4,2 x1
  • 3,1,2,4 x9
  • 3,1,4,2 x7
  • 3,2,1,4 x22
  • 3,2,4,1 x33
  • 3,4,1&2 x3
  • 3,4,1,2 x12
  • 3,4,2,1 x43
  • 4,1&2&3 x11
  • 4,1,2,3 x26
  • 4,1,3,2 x15
  • 4,2&3,1 x2
  • 4,2,1&3 x1
  • 4,2,1,3 x40
  • 4,2,3,1 x45
  • 4,3,1&2 x5
  • 4,3,1,2 x61
  • 4,3,2,1 x132

© Copyright 2006 Solutions Through Innovation at www.VoteFair.org

Software version: 2006-May-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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