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VoteFair Ranking Results calculated at  www.VoteFair.org 2008-March-6  22:39

Poll title:

     American Idol Season 7, Top 16    

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 78 for David Archuleta 343 voters marked David Archuleta as their first choice
Second-most popular Michael Johns Ranking score is 59 for Michael Johns 115 voters marked Michael Johns as their first choice
Third-most popular Jason Castro Ranking score is 48 for Jason Castro 72 voters marked Jason Castro as their first choice
Fourth-most popular David Cook Ranking score is 40 for David Cook 42 voters marked David Cook as their first choice
Fifth-most popular David Hernandez Ranking score is 31 for David Hernandez 21 voters marked David Hernandez as their first choice
Sixth-most popular Chikezie Eze Ranking score is 15 for Chikezie Eze 6 voters marked Chikezie Eze as their first choice
Seventh-most popular Danny Norriega Ranking score is 6 for Danny Norriega 20 voters marked Danny Norriega as their first choice
Eighth-most popular Luke Menard Ranking score is 0 for Luke Menard 5 voters marked Luke Menard as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

David Archuleta

Second-most representative choice is:

Michael Johns

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
Majority David Archuleta

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

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

Details of plurality results

  
Choice Vote count Percentage
David Archuleta 343 55 343 voters marked David Archuleta as their first choice
Michael Johns 115 18 115 voters marked Michael Johns as their first choice
Jason Castro 72 12 72 voters marked Jason Castro as their first choice
David Cook 42 7 42 voters marked David Cook as their first choice
David Hernandez 21 3 21 voters marked David Hernandez as their first choice
Danny Norriega 20 3 20 voters marked Danny Norriega as their first choice
Chikezie Eze 6 1 6 voters marked Chikezie Eze as their first choice
Luke Menard 5 1 5 voters marked Luke Menard as their first choice
(36 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: 660
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 = Michael Johns		 443
443 voters prefer David Archuleta over Michael Johns		 38
38 voters have an equal preference for David Archuleta and Michael Johns		 179
179 voters prefer Michael Johns over David Archuleta
X = David Archuleta
Y = Jason Castro		 459
459 voters prefer David Archuleta over Jason Castro		 40
40 voters have an equal preference for David Archuleta and Jason Castro		 161
161 voters prefer Jason Castro over David Archuleta
X = David Archuleta
Y = David Cook		 473
473 voters prefer David Archuleta over David Cook		 38
38 voters have an equal preference for David Archuleta and David Cook		 149
149 voters prefer David Cook over David Archuleta
X = David Archuleta
Y = David Hernandez		 518
518 voters prefer David Archuleta over David Hernandez		 38
38 voters have an equal preference for David Archuleta and David Hernandez		 104
104 voters prefer David Hernandez over David Archuleta
X = David Archuleta
Y = Chikezie Eze		 573
573 voters prefer David Archuleta over Chikezie Eze		 38
38 voters have an equal preference for David Archuleta over Chikezie Eze		 49
49 voters prefer Chikezie Eze over David Archuleta
X = David Archuleta
Y = Danny Norriega		 557
557 voters prefer David Archuleta over Danny Norriega		 38
38 voters have an equal preference for David Archuleta over Danny Norriega		 65
65 voters prefer Danny Norriega over David Archuleta
X = David Archuleta
Y = Luke Menard		 575
575 voters prefer David Archuleta over Luke Menard		 38
38 voters have an equal preference for David Archuleta and Luke Menard		 47
47 voters prefer Luke Menard over David Archuleta
X = Michael Johns
Y = Jason Castro		 368
368 voters prefer Michael Johns over Jason Castro		 52
52 voters have an equal preference for Michael Johns over Jason Castro		 240
240 voters prefer Jason Castro over Michael Johns
X = Michael Johns
Y = David Cook		 378
378 voters prefer Michael Johns over David Cook		 52
52 voters have an equal preference for Michael Johns over David Cook		 230
230 voters prefer David Cook over Michael Johns
X = Michael Johns
Y = David Hernandez		 405
405 voters prefer Michael Johns over David Hernandez		 52
52 voters have an equal preference for Michael Johns over David Hernandez		 203
203 voters prefer David Hernandez over Michael Johns
X = Michael Johns
Y = Chikezie Eze		 528
528 voters prefer Michael Johns over Chikezie Eze		 56
56 voters have an equal preference for Michael Johns over Chikezie Eze		 76
76 voters prefer Chikezie Eze over Michael Johns
X = Michael Johns
Y = Danny Norriega		 503
503 voters prefer Michael Johns over Danny Norriega		 52
52 voters have an equal preference for Michael Johns over Danny Norriega		 105
105 voters prefer Danny Norriega over Michael Johns
X = Michael Johns
Y = Luke Menard		 540
540 voters prefer Michael Johns over Luke Menard		 55
55 voters have an equal preference for Michael Johns over Luke Menard		 65
65 voters prefer Luke Menard over Michael Johns
X = Jason Castro
Y = David Cook		 327
327 voters prefer Jason Castro over David Cook		 52
52 voters have an equal preference for Jason Castro over David Cook		 281
281 voters prefer David Cook over Jason Castro
X = Jason Castro
Y = David Hernandez		 357
357 voters prefer Jason Castro over David Hernandez		 54
54 voters have an equal preference for Jason Castro over David Hernandez		 249
249 voters prefer David Hernandez over Jason Castro
X = Jason Castro
Y = Chikezie Eze		 510
510 voters prefer Jason Castro over Chikezie Eze		 50
50 voters have an equal preference for Jason Castro over Chikezie Eze		 100
100 voters prefer Chikezie Eze over Jason Castro
X = Jason Castro
Y = Danny Norriega		 500
500 voters prefer Jason Castro over Danny Norriega		 52
52 voters have an equal preference for Jason Castro over Danny Norriega		 108
108 voters prefer Danny Norriega over Jason Castro
X = Jason Castro
Y = Luke Menard		 523
523 voters prefer Jason Castro over Luke Menard		 60
60 voters have an equal preference for Jason Castro and Luke Menard		 77
77 voters prefer Luke Menard over Jason Castro
X = David Cook
Y = David Hernandez		 345
345 voters prefer David Cook over David Hernandez		 50
50 voters have an equal preference for David Cook and David Hernandez		 265
265 voters prefer David Hernandez over David Cook
X = David Cook
Y = Chikezie Eze		 505
505 voters prefer David Cook over Chikezie Eze		 52
52 voters have an equal preference for David Cook over Chikezie Eze		 103
103 voters prefer Chikezie Eze over David Cook
X = David Cook
Y = Danny Norriega		 477
477 voters prefer David Cook over Danny Norriega		 52
52 voters have an equal preference for David Cook over Danny Norriega		 131
131 voters prefer Danny Norriega over David Cook
X = David Cook
Y = Luke Menard		 509
509 voters prefer David Cook over Luke Menard		 51
51 voters have an equal preference for David Cook and Luke Menard		 100
100 voters prefer Luke Menard over David Cook
X = David Hernandez
Y = Chikezie Eze		 478
478 voters prefer David Hernandez over Chikezie Eze		 57
57 voters have an equal preference for David Hernandez over Chikezie Eze		 125
125 voters prefer Chikezie Eze over David Hernandez
X = David Hernandez
Y = Danny Norriega		 469
469 voters prefer David Hernandez over Danny Norriega		 57
57 voters have an equal preference for David Hernandez over Danny Norriega		 134
134 voters prefer Danny Norriega over David Hernandez
X = David Hernandez
Y = Luke Menard		 505
505 voters prefer David Hernandez over Luke Menard		 62
62 voters have an equal preference for David Hernandez and Luke Menard		 93
93 voters prefer Luke Menard over David Hernandez
X = Chikezie Eze
Y = Danny Norriega		 339
339 voters prefer Chikezie Eze over Danny Norriega		 64
64 voters have an equal preference for Chikezie Eze and Danny Norriega		 257
257 voters prefer Danny Norriega over Chikezie Eze
X = Chikezie Eze
Y = Luke Menard		 360
360 voters prefer Chikezie Eze over Luke Menard		 65
65 voters have an equal preference for Chikezie Eze and Luke Menard		 235
235 voters prefer Luke Menard over Chikezie Eze
X = Danny Norriega
Y = Luke Menard		 299
299 voters prefer Danny Norriega over Luke Menard		 70
70 voters have an equal preference for Danny Norriega and Luke Menard		 291
291 voters prefer Luke Menard over Danny Norriega
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 12,823
Number of all possible valid sequences (without ties): 40,320
First sequence:
  1. Chikezie Eze
  2. Danny Norriega
  3. David Archuleta
  4. David Cook
  5. David Hernandez
  6. Jason Castro
  7. Luke Menard
  8. Michael Johns
Last sequence:
  1. Michael Johns
  2. Luke Menard
  3. Jason Castro
  4. David Hernandez
  5. David Cook
  6. David Archuleta
  7. Danny Norriega
  8. 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&7&8 x26
  • 1&2&3&8,5&6&7,4 x1
  • 1&2,3,4&5&6&7&8 x1
  • 1,2&3&4&5&6&7&8 x1
  • 1,2,3&4&5&6&7&8 x1
  • 1,3,5,7,8,2&4&6 x1
  • 1,3,5,8,7,6,4,2 x1
  • 1,3,8,6,7,4,5,2 x1
  • 1,6,5,3,8,7,2,4 x1
  • 2&3&7,1&4&5&6&8 x1
  • 2,1&3&4&5&6&7&8 x2
  • 2,1,6,7,5,4,8,3 x1
  • 2,3&7,8,4,1,5,6 x1
  • 2,3,1,4&5&6&7&8 x1
  • 2,3,4,6,8,1,5,7 x1
  • 2,3,5,4,6,1,7,8 x1
  • 2,3,5,7,6,1,4,8 x1
  • 2,3,6,4,8,5,7,1 x1
  • 2,3,6,8,4,5,7,1 x1
  • 2,3,8,5,1,6,4,7 x1
  • 2,3,8,6,4,5,1,7 x1
  • 2,4,5,6,7,8,1,3 x1
  • 2,4,5,6,8,1&7,3 x1
  • 2,4,5,6,8,1,7,3 x1
  • 2,6,3,4,7,8,1,5 x1
  • 2,6,4,5,3,8,1,7 x1
  • 2,7,5,1,6,4,8,3 x1
  • 2,8,3,6,7,5,1,4 x1
  • 2,8,5,6,4,1,7,3 x1
  • 3&4&6,1&5,8,2&7 x1
  • 3&4,1&2&5&6&7&8 x1
  • 3&5&6,4,8,1&2,7 x1
  • 3&5&8,4,6,2,1,7 x1
  • 3&5,4,8,6,2,1&7 x1
  • 3&6,1&2&4,5&8,7 x1
  • 3&6,8,4,1,5,7,2 x1
  • 3,1&2&4&5&6&7&8 x9
  • 3,1,2&4&5&6&7&8 x2
  • 3,1,2&4,5,6,7,8 x1
  • 3,1,2,4,5,6,7,8 x1
  • 3,1,5,2&4&6&7&8 x1
  • 3,1,5,8,6,4,7,2 x1
  • 3,1,5,8,7,4,2,6 x1
  • 3,1,6,4,8,7,5,2 x1
  • 3,1,7,5,4,8,6,2 x1
  • 3,1,8,5,4,6,7,2 x1
  • 3,2,1,6,4,5,7,8 x1
  • 3,2,4,5,6,8,7,1 x1
  • 3,2,4,5,7,8,6,1 x1
  • 3,2,4,6,8,5,7,1 x1
  • [Remaining ballots not listed]

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

Software version: 2007-Nov-3

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