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VoteFair Ranking Results calculated at  www.VoteFair.org 2008-February-28  23:12

Poll title:

     American Idol Season 7, Top 20    

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 83 for David Archuleta 283 voters marked David Archuleta as their first choice
Second-most popular Michael Johns Ranking score is 63 for Michael Johns 81 voters marked Michael Johns as their first choice
Third-most popular Jason Castro Ranking score is 51 for Jason Castro 57 voters marked Jason Castro as their first choice
Fourth-most popular David Hernandez Ranking score is 43 for David Hernandez 16 voters marked David Hernandez as their first choice
Fifth-most popular David Cook Ranking score is 36 for David Cook 13 voters marked David Cook as their first choice
Sixth-most popular Robbie Carrico Ranking score is 24 for Robbie Carrico 4 voters marked Robbie Carrico as their first choice
Seventh-most popular Danny Norriega Ranking score is 16 for Danny Norriega 19 voters marked Danny Norriega as their first choice
Eighth-most popular Chikezie Eze Ranking score is 10 for Chikezie Eze 3 voters marked Chikezie Eze as their first choice
Ninth-most popular Luke Menard Ranking score is 6 for Luke Menard 5 voters marked Luke Menard as their first choice
Tenth-most popular Jason Yeager Ranking score is 0 for Jason Yeager 2 voters marked Jason Yeager 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

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

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

Details of plurality results

  
Choice Vote count Percentage
David Archuleta 283 59 283 voters marked David Archuleta as their first choice
Michael Johns 81 17 81 voters marked Michael Johns as their first choice
Jason Castro 57 12 57 voters marked Jason Castro as their first choice
Danny Norriega 19 4 19 voters marked Danny Norriega as their first choice
David Hernandez 16 3 16 voters marked David Hernandez as their first choice
David Cook 13 3 13 voters marked David Cook as their first choice
Luke Menard 5 1 5 voters marked Luke Menard as their first choice
Robbie Carrico 4 1 4 voters marked Robbie Carrico as their first choice
Chikezie Eze 3 1 3 voters marked Chikezie Eze as their first choice
Jason Yeager 2 0 2 voters marked Jason Yeager as their first choice
(26 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: 509
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		 360
360 voters prefer David Archuleta over Michael Johns		 27
27 voters have an equal preference for David Archuleta and Michael Johns		 122
122 voters prefer Michael Johns over David Archuleta
X = David Archuleta
Y = Jason Castro		 373
373 voters prefer David Archuleta over Jason Castro		 28
28 voters have an equal preference for David Archuleta and Jason Castro		 108
108 voters prefer Jason Castro over David Archuleta
X = David Archuleta
Y = David Hernandez		 415
415 voters prefer David Archuleta over David Hernandez		 29
29 voters have an equal preference for David Archuleta and David Hernandez		 65
65 voters prefer David Hernandez over David Archuleta
X = David Archuleta
Y = David Cook		 414
414 voters prefer David Archuleta over David Cook		 31
31 voters have an equal preference for David Archuleta and David Cook		 64
64 voters prefer David Cook over David Archuleta
X = David Archuleta
Y = Robbie Carrico		 442
442 voters prefer David Archuleta over Robbie Carrico		 30
30 voters have an equal preference for David Archuleta and Robbie Carrico		 37
37 voters prefer Robbie Carrico over David Archuleta
X = David Archuleta
Y = Danny Norriega		 435
435 voters prefer David Archuleta over Danny Norriega		 28
28 voters have an equal preference for David Archuleta over Danny Norriega		 46
46 voters prefer Danny Norriega over David Archuleta
X = David Archuleta
Y = Chikezie Eze		 458
458 voters prefer David Archuleta over Chikezie Eze		 31
31 voters have an equal preference for David Archuleta over Chikezie Eze		 20
20 voters prefer Chikezie Eze over David Archuleta
X = David Archuleta
Y = Luke Menard		 450
450 voters prefer David Archuleta over Luke Menard		 29
29 voters have an equal preference for David Archuleta and Luke Menard		 30
30 voters prefer Luke Menard over David Archuleta
X = David Archuleta
Y = Jason Yeager		 456
456 voters prefer David Archuleta over Jason Yeager		 28
28 voters have an equal preference for David Archuleta and Jason Yeager		 25
25 voters prefer Jason Yeager over David Archuleta
X = Michael Johns
Y = Jason Castro		 269
269 voters prefer Michael Johns over Jason Castro		 44
44 voters have an equal preference for Michael Johns over Jason Castro		 196
196 voters prefer Jason Castro over Michael Johns
X = Michael Johns
Y = David Hernandez		 302
302 voters prefer Michael Johns over David Hernandez		 42
42 voters have an equal preference for Michael Johns over David Hernandez		 165
165 voters prefer David Hernandez over Michael Johns
X = Michael Johns
Y = David Cook		 346
346 voters prefer Michael Johns over David Cook		 48
48 voters have an equal preference for Michael Johns over David Cook		 115
115 voters prefer David Cook over Michael Johns
X = Michael Johns
Y = Robbie Carrico		 404
404 voters prefer Michael Johns over Robbie Carrico		 51
51 voters have an equal preference for Michael Johns and Robbie Carrico		 54
54 voters prefer Robbie Carrico over Michael Johns
X = Michael Johns
Y = Danny Norriega		 370
370 voters prefer Michael Johns over Danny Norriega		 39
39 voters have an equal preference for Michael Johns over Danny Norriega		 100
100 voters prefer Danny Norriega over Michael Johns
X = Michael Johns
Y = Chikezie Eze		 393
393 voters prefer Michael Johns over Chikezie Eze		 47
47 voters have an equal preference for Michael Johns over Chikezie Eze		 69
69 voters prefer Chikezie Eze over Michael Johns
X = Michael Johns
Y = Luke Menard		 392
392 voters prefer Michael Johns over Luke Menard		 46
46 voters have an equal preference for Michael Johns over Luke Menard		 71
71 voters prefer Luke Menard over Michael Johns
X = Michael Johns
Y = Jason Yeager		 412
412 voters prefer Michael Johns over Jason Yeager		 46
46 voters have an equal preference for Michael Johns over Jason Yeager		 51
51 voters prefer Jason Yeager over Michael Johns
X = Jason Castro
Y = David Hernandez		 257
257 voters prefer Jason Castro over David Hernandez		 45
45 voters have an equal preference for Jason Castro over David Hernandez		 207
207 voters prefer David Hernandez over Jason Castro
X = Jason Castro
Y = David Cook		 286
286 voters prefer Jason Castro over David Cook		 50
50 voters have an equal preference for Jason Castro over David Cook		 173
173 voters prefer David Cook over Jason Castro
X = Jason Castro
Y = Robbie Carrico		 350
350 voters prefer Jason Castro over Robbie Carrico		 56
56 voters have an equal preference for Jason Castro and Robbie Carrico		 103
103 voters prefer Robbie Carrico over Jason Castro
X = Jason Castro
Y = Danny Norriega		 337
337 voters prefer Jason Castro over Danny Norriega		 49
49 voters have an equal preference for Jason Castro over Danny Norriega		 123
123 voters prefer Danny Norriega over Jason Castro
X = Jason Castro
Y = Chikezie Eze		 359
359 voters prefer Jason Castro over Chikezie Eze		 55
55 voters have an equal preference for Jason Castro over Chikezie Eze		 95
95 voters prefer Chikezie Eze over Jason Castro
X = Jason Castro
Y = Luke Menard		 367
367 voters prefer Jason Castro over Luke Menard		 55
55 voters have an equal preference for Jason Castro and Luke Menard		 87
87 voters prefer Luke Menard over Jason Castro
X = Jason Castro
Y = Jason Yeager		 396
396 voters prefer Jason Castro over Jason Yeager		 55
55 voters have an equal preference for Jason Castro and Jason Yeager		 58
58 voters prefer Jason Yeager over Jason Castro
X = David Hernandez
Y = David Cook		 253
253 voters prefer David Hernandez over David Cook		 60
60 voters have an equal preference for David Hernandez over David Cook		 196
196 voters prefer David Cook over David Hernandez
X = David Hernandez
Y = Robbie Carrico		 301
301 voters prefer David Hernandez over Robbie Carrico		 62
62 voters have an equal preference for David Hernandez and Robbie Carrico		 146
146 voters prefer Robbie Carrico over David Hernandez
X = David Hernandez
Y = Danny Norriega		 331
331 voters prefer David Hernandez over Danny Norriega		 50
50 voters have an equal preference for David Hernandez over Danny Norriega		 128
128 voters prefer Danny Norriega over David Hernandez
X = David Hernandez
Y = Chikezie Eze		 367
367 voters prefer David Hernandez over Chikezie Eze		 61
61 voters have an equal preference for David Hernandez over Chikezie Eze		 81
81 voters prefer Chikezie Eze over David Hernandez
X = David Hernandez
Y = Luke Menard		 344
344 voters prefer David Hernandez over Luke Menard		 64
64 voters have an equal preference for David Hernandez and Luke Menard		 101
101 voters prefer Luke Menard over David Hernandez
X = David Hernandez
Y = Jason Yeager		 379
379 voters prefer David Hernandez over Jason Yeager		 61
61 voters have an equal preference for David Hernandez and Jason Yeager		 69
69 voters prefer Jason Yeager over David Hernandez
X = David Cook
Y = Robbie Carrico		 294
294 voters prefer David Cook over Robbie Carrico		 64
64 voters have an equal preference for David Cook and Robbie Carrico		 151
151 voters prefer Robbie Carrico over David Cook
X = David Cook
Y = Danny Norriega		 313
313 voters prefer David Cook over Danny Norriega		 52
52 voters have an equal preference for David Cook over Danny Norriega		 144
144 voters prefer Danny Norriega over David Cook
X = David Cook
Y = Chikezie Eze		 337
337 voters prefer David Cook over Chikezie Eze		 62
62 voters have an equal preference for David Cook over Chikezie Eze		 110
110 voters prefer Chikezie Eze over David Cook
X = David Cook
Y = Luke Menard		 328
328 voters prefer David Cook over Luke Menard		 63
63 voters have an equal preference for David Cook and Luke Menard		 118
118 voters prefer Luke Menard over David Cook
X = David Cook
Y = Jason Yeager		 358
358 voters prefer David Cook over Jason Yeager		 63
63 voters have an equal preference for David Cook and Jason Yeager		 88
88 voters prefer Jason Yeager over David Cook
X = Robbie Carrico
Y = Danny Norriega		 260
260 voters prefer Robbie Carrico over Danny Norriega		 58
58 voters have an equal preference for Robbie Carrico over Danny Norriega		 191
191 voters prefer Danny Norriega over Robbie Carrico
X = Robbie Carrico
Y = Chikezie Eze		 264
264 voters prefer Robbie Carrico over Chikezie Eze		 74
74 voters have an equal preference for Robbie Carrico over Chikezie Eze		 171
171 voters prefer Chikezie Eze over Robbie Carrico
X = Robbie Carrico
Y = Luke Menard		 268
268 voters prefer Robbie Carrico over Luke Menard		 73
73 voters have an equal preference for Robbie Carrico over Luke Menard		 168
168 voters prefer Luke Menard over Robbie Carrico
X = Robbie Carrico
Y = Jason Yeager		 314
314 voters prefer Robbie Carrico over Jason Yeager		 74
74 voters have an equal preference for Robbie Carrico over Jason Yeager		 121
121 voters prefer Jason Yeager over Robbie Carrico
X = Danny Norriega
Y = Chikezie Eze		 237
237 voters prefer Danny Norriega over Chikezie Eze		 62
62 voters have an equal preference for Danny Norriega over Chikezie Eze		 210
210 voters prefer Chikezie Eze over Danny Norriega
X = Danny Norriega
Y = Luke Menard		 236
236 voters prefer Danny Norriega over Luke Menard		 59
59 voters have an equal preference for Danny Norriega and Luke Menard		 214
214 voters prefer Luke Menard over Danny Norriega
X = Danny Norriega
Y = Jason Yeager		 268
268 voters prefer Danny Norriega over Jason Yeager		 59
59 voters have an equal preference for Danny Norriega and Jason Yeager		 182
182 voters prefer Jason Yeager over Danny Norriega
X = Chikezie Eze
Y = Luke Menard		 220
220 voters prefer Chikezie Eze over Luke Menard		 73
73 voters have an equal preference for Chikezie Eze and Luke Menard		 216
216 voters prefer Luke Menard over Chikezie Eze
X = Chikezie Eze
Y = Jason Yeager		 259
259 voters prefer Chikezie Eze over Jason Yeager		 75
75 voters have an equal preference for Chikezie Eze and Jason Yeager		 175
175 voters prefer Jason Yeager over Chikezie Eze
X = Luke Menard
Y = Jason Yeager		 260
260 voters prefer Luke Menard over Jason Yeager		 76
76 voters have an equal preference for Luke Menard over Jason Yeager		 173
173 voters prefer Jason Yeager over Luke Menard
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 15,234
Number of all possible valid sequences (without ties): 3,628,800
First sequence:
  1. Chikezie Eze
  2. Danny Norriega
  3. David Archuleta
  4. David Cook
  5. David Hernandez
  6. Jason Castro
  7. Jason Yeager
  8. Luke Menard
  9. Michael Johns
  10. Robbie Carrico
Last sequence:
  1. Robbie Carrico
  2. Michael Johns
  3. Luke Menard
  4. Jason Yeager
  5. Jason Castro
  6. David Hernandez
  7. David Cook
  8. David Archuleta
  9. Danny Norriega
  10. 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&9&10 x17
  • 1,2,3,4,5,6,7,8,9,10 x1
  • 1,5,3,2,4,6,7,8,9,10 x1
  • 1,5,6,8,3,4,10,9,7,2 x1
  • 10,5,4,3,6,2,8,9,7,1 x1
  • 10,6,9,3,4,7,5,1,8,2 x1
  • 10,9,5,3,1,2,6,4,7,8 x1
  • 10,9,6,3,4,5,1,7,8,2 x1
  • 2&3&10,4,8,1&5&6&7&9 x1
  • 2&3&4&5&9,6,10,1&7&8 x1
  • 2&3&6,5,4,7,10,9,8,1 x1
  • 2&8,5,1&3&4&6&7&9&10 x1
  • 2,1,3,6,4&5&7&8&9&10 x1
  • 2,3,1,4,5,8,9,6,10,7 x1
  • 2,3,5,4,1,6,10,7,8,9 x1
  • 2,3,5,4,6,1,10,8,7,9 x1
  • 2,3,5,4,6,9,10,1,7,8 x1
  • 2,3,5,4,9,10,6,1,7,8 x1
  • 2,3,6,5,9,10,8,7,4,1 x1
  • 2,3,9,4,10,6,5,1,8,7 x1
  • 2,4,5,3,9,10,7,6,1,8 x1
  • 2,5,10,6,9,8,3,7,1,4 x1
  • 2,5,6,3,1,7,8,9,10,4 x1
  • 2,5,6,3,9,7,4,10,1,8 x1
  • 2,5,7,9,10,8,6,4,3,1 x1
  • 2,6,1&3&4&5&7&8&9&10 x1
  • 2,6,3,1&4&5&7&8&9&10 x1
  • 2,6,7,9,10,3,5,8,1,4 x1
  • 2,7,1&3&4&5&6&8&9&10 x1
  • 2,9,4,10,1,6,3&5&7&8 x1
  • 2,9,8,7,5,4,3,10,6,1 x1
  • 3&4&5,1&2&6&7&8&9&10 x2
  • 3&6&9,10,4&5&7&8,1&2 x1
  • 3&6,9,2,4,5,7,10,8,1 x1
  • 3,1&2&4&5&6&7&8&9&10 x14
  • 3,1,2,9,6,8,7,5,10,4 x1
  • 3,1,4,10,9,8,5,7,2,6 x1
  • 3,1,4,5,6,7,8,9,10,2 x2
  • 3,1,5,2,4,10,9,7,8,6 x1
  • 3,1,5,4,7,6,9,2,10,8 x1
  • 3,1,5,6,8,9,4,10,7,2 x1
  • 3,1,6,5,8,7,9,10,4,2 x1
  • 3,1,8,5,4,10,9,7,2,6 x1
  • 3,1,9,5,4,10,6,2,7,8 x1
  • 3,1,9,8,2,5,4,6,7,10 x1
  • 3,1,9,8,5,6,10,4,7,2 x2
  • 3,10,1,9,2,4,6,7,8,5 x1
  • 3,10,2,6,7,8,5,9,4,1 x1
  • 3,10,6,9,5,4,2,7,8,1 x1
  • 3,10,8,9,5,2,1,6,4,7 x1
  • [Remaining ballots not listed]

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Software version: 2007-Nov-3

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