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VoteFair Ranking Results calculated at  www.VoteFair.org 2008-March-12  16:38

Poll title:

     American Idol Season 7, Top 12    

Question (number 2) title:

     Who is your favorite, second-favorite, etc., male 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 70 for David Archuleta 336 voters marked David Archuleta as their first choice
Second-most popular David Cook Ranking score is 51 for David Cook 150 voters marked David Cook as their first choice
Third-most popular Michael Johns Ranking score is 39 for Michael Johns 107 voters marked Michael Johns as their first choice
Fourth-most popular Jason Castro Ranking score is 28 for Jason Castro 105 voters marked Jason Castro as their first choice
Fifth-most popular David Hernandez Ranking score is 10 for David Hernandez 24 voters marked David Hernandez as their first choice
Sixth-most popular Chikezie Eze Ranking score is 0 for Chikezie Eze 39 voters marked Chikezie Eze as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

David Archuleta

Second-most representative choice is:

David Cook

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 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
(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 : David Hernandez)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
David Archuleta 336 44 336 voters marked David Archuleta as their first choice
David Cook 150 20 150 voters marked David Cook as their first choice
Michael Johns 107 14 107 voters marked Michael Johns as their first choice
Jason Castro 105 14 105 voters marked Jason Castro as their first choice
Chikezie Eze 39 5 39 voters marked Chikezie Eze as their first choice
David Hernandez 24 3 24 voters marked David Hernandez as their first choice
(21 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: 782
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		 454
454 voters prefer David Archuleta over David Cook		 23
23 voters have an equal preference for David Archuleta and David Cook		 305
305 voters prefer David Cook over David Archuleta
X = David Archuleta
Y = Michael Johns		 513
513 voters prefer David Archuleta over Michael Johns		 19
19 voters have an equal preference for David Archuleta and Michael Johns		 250
250 voters prefer Michael Johns over David Archuleta
X = David Archuleta
Y = Jason Castro		 504
504 voters prefer David Archuleta over Jason Castro		 24
24 voters have an equal preference for David Archuleta and Jason Castro		 254
254 voters prefer Jason Castro over David Archuleta
X = David Archuleta
Y = David Hernandez		 630
630 voters prefer David Archuleta over David Hernandez		 28
28 voters have an equal preference for David Archuleta and David Hernandez		 124
124 voters prefer David Hernandez over David Archuleta
X = David Archuleta
Y = Chikezie Eze		 619
619 voters prefer David Archuleta over Chikezie Eze		 27
27 voters have an equal preference for David Archuleta over Chikezie Eze		 136
136 voters prefer Chikezie Eze over David Archuleta
X = David Cook
Y = Michael Johns		 419
419 voters prefer David Cook over Michael Johns		 39
39 voters have an equal preference for David Cook and Michael Johns		 324
324 voters prefer Michael Johns over David Cook
X = David Cook
Y = Jason Castro		 396
396 voters prefer David Cook over Jason Castro		 47
47 voters have an equal preference for David Cook and Jason Castro		 339
339 voters prefer Jason Castro over David Cook
X = David Cook
Y = David Hernandez		 575
575 voters prefer David Cook over David Hernandez		 39
39 voters have an equal preference for David Cook and David Hernandez		 168
168 voters prefer David Hernandez over David Cook
X = David Cook
Y = Chikezie Eze		 600
600 voters prefer David Cook over Chikezie Eze		 47
47 voters have an equal preference for David Cook over Chikezie Eze		 135
135 voters prefer Chikezie Eze over David Cook
X = Michael Johns
Y = Jason Castro		 376
376 voters prefer Michael Johns over Jason Castro		 35
35 voters have an equal preference for Michael Johns over Jason Castro		 371
371 voters prefer Jason Castro over Michael Johns
X = Michael Johns
Y = David Hernandez		 567
567 voters prefer Michael Johns over David Hernandez		 36
36 voters have an equal preference for Michael Johns over David Hernandez		 179
179 voters prefer David Hernandez over Michael Johns
X = Michael Johns
Y = Chikezie Eze		 568
568 voters prefer Michael Johns over Chikezie Eze		 40
40 voters have an equal preference for Michael Johns over Chikezie Eze		 174
174 voters prefer Chikezie Eze over Michael Johns
X = Jason Castro
Y = David Hernandez		 541
541 voters prefer Jason Castro over David Hernandez		 45
45 voters have an equal preference for Jason Castro over David Hernandez		 196
196 voters prefer David Hernandez over Jason Castro
X = Jason Castro
Y = Chikezie Eze		 540
540 voters prefer Jason Castro over Chikezie Eze		 46
46 voters have an equal preference for Jason Castro over Chikezie Eze		 196
196 voters prefer Chikezie Eze over Jason Castro
X = David Hernandez
Y = Chikezie Eze		 407
407 voters prefer David Hernandez over Chikezie Eze		 45
45 voters have an equal preference for David Hernandez over Chikezie Eze		 330
330 voters prefer Chikezie Eze over David Hernandez
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 7,709
Number of all possible valid sequences (without ties): 720
First sequence:
  1. Chikezie Eze
  2. David Archuleta
  3. David Cook
  4. David Hernandez
  5. Jason Castro
  6. Michael Johns
Last sequence:
  1. Michael Johns
  2. Jason Castro
  3. David Hernandez
  4. David Cook
  5. David Archuleta
  6. Chikezie Eze
© 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&4&5&6 x13
  • 1&2&3&5,6,4 x1
  • 1&2,3&6,4,5 x1
  • 1,2,3,4&5&6 x1
  • 1,2,3,5,6,4 x4
  • 1,2,3,6,5,4 x1
  • 1,2,5,3,6,4 x1
  • 1,2,5,6,3,4 x3
  • 1,2,6,3,4,5 x1
  • 1,3&5,6,2&4 x1
  • 1,3,2,5,6,4 x2
  • 1,3,5,2&4&6 x2
  • 1,3,5,4,2,6 x1
  • 1,3,5,6,2,4 x4
  • 1,3,5,6,4,2 x1
  • 1,3,6,2,4&5 x1
  • 1,3,6,2,5,4 x1
  • 1,3,6,4,5,2 x3
  • 1,3,6,5,2,4 x1
  • 1,4,5,2,6,3 x1
  • 1,5,2,6,3,4 x1
  • 1,5,3,2,6,4 x1
  • 1,5,6,2,3,4 x1
  • 1,5,6,4,3,2 x1
  • 1,6,2,3,4,5 x1
  • 1,6,3,4,5,2 x2
  • 1,6,4,3,5,2 x1
  • 1,6,4,5,3,2 x1
  • 1,6,5,2,3,4 x1
  • 2&3&5,1&6,4 x1
  • 2&4,1&3&5&6 x1
  • 2&5,3,1&6,4 x1
  • 2&6,1,5,4,3 x1
  • 2,1&3&4&5&6 x14
  • 2,1,3,4&5&6 x1
  • 2,1,3,4,5,6 x1
  • 2,1,3,4,6,5 x1
  • 2,1,3,5,4,6 x1
  • 2,1,3,5,6,4 x1
  • 2,1,3,6,4,5 x2
  • 2,1,4&6,5,3 x1
  • 2,1,4,5,3,6 x1
  • 2,1,4,6,5,3 x1
  • 2,1,5,3,6,4 x1
  • 2,1,5,6,4,3 x1
  • 2,1,6,3,5,4 x3
  • 2,1,6,4,5,3 x2
  • 2,1,6,5,4,3 x1
  • 2,3&4&6,5,1 x1
  • 2,3&4,1&6,5 x1
  • [Remaining ballots not listed]

© 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.

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