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VoteFair Ranking Results calculated at  www.VoteFair.org 2010-March-11  21:07

Poll title:

     American Idol, Season 9, Top 16    

Question (number 1) title:

     Who is your favorite, second-favorite, etc., female singer?    

The most preferred and most representative choice is:

    Crystal Bowersox

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Crystal Bowersox Ranking score is 71 for Crystal Bowersox 249 voters marked Crystal Bowersox as their first choice
Second-most popular Siobhan Magnus Ranking score is 63 for Siobhan Magnus 178 voters marked Siobhan Magnus as their first choice
Third-most popular Lilly Scott Ranking score is 43 for Lilly Scott 44 voters marked Lilly Scott as their first choice
Fourth-most popular Didi Benami Ranking score is 35 for Didi Benami 71 voters marked Didi Benami as their first choice
Fifth-most popular Katelyn Epperly Ranking score is 25 for Katelyn Epperly 27 voters marked Katelyn Epperly as their first choice
Sixth-most popular Lacey Brown Ranking score is 15 for Lacey Brown 34 voters marked Lacey Brown as their first choice
Seventh-most popular Katie Stevens Ranking score is 9 for Katie Stevens 30 voters marked Katie Stevens as their first choice
Eighth-most popular Paige Miles Ranking score is 0 for Paige Miles 12 voters marked Paige Miles as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Crystal Bowersox

Second-most representative choice is:

Siobhan Magnus

Third-most representative choice is:

Lilly Scott

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 Crystal Bowersox
Instant runoff Crystal Bowersox
(16 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 : Paige Miles)
Majority None of the choices has won a majority (more than half) the votes.

(42 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Crystal Bowersox

(42 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Crystal Bowersox
Borda count Crystal Bowersox
(102 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Crystal Bowersox 249 39 249 voters marked Crystal Bowersox as their first choice
Siobhan Magnus 178 28 178 voters marked Siobhan Magnus as their first choice
Didi Benami 71 11 71 voters marked Didi Benami as their first choice
Lilly Scott 44 7 44 voters marked Lilly Scott as their first choice
Lacey Brown 34 5 34 voters marked Lacey Brown as their first choice
Katie Stevens 30 5 30 voters marked Katie Stevens as their first choice
Katelyn Epperly 27 4 27 voters marked Katelyn Epperly as their first choice
Paige Miles 12 2 12 voters marked Paige Miles as their first choice
(42 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: 687
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 = Crystal Bowersox
Y = Siobhan Magnus		 347
347 voters prefer Crystal Bowersox over Siobhan Magnus		 54
54 voters have an equal preference for Crystal Bowersox and Siobhan Magnus		 286
286 voters prefer Siobhan Magnus over Crystal Bowersox
X = Crystal Bowersox
Y = Lilly Scott		 471
471 voters prefer Crystal Bowersox over Lilly Scott		 50
50 voters have an equal preference for Crystal Bowersox and Lilly Scott		 166
166 voters prefer Lilly Scott over Crystal Bowersox
X = Crystal Bowersox
Y = Didi Benami		 465
465 voters prefer Crystal Bowersox over Didi Benami		 56
56 voters have an equal preference for Crystal Bowersox over Didi Benami		 166
166 voters prefer Didi Benami over Crystal Bowersox
X = Crystal Bowersox
Y = Katelyn Epperly		 493
493 voters prefer Crystal Bowersox over Katelyn Epperly		 56
56 voters have an equal preference for Crystal Bowersox and Katelyn Epperly		 138
138 voters prefer Katelyn Epperly over Crystal Bowersox
X = Crystal Bowersox
Y = Lacey Brown		 537
537 voters prefer Crystal Bowersox over Lacey Brown		 54
54 voters have an equal preference for Crystal Bowersox and Lacey Brown		 96
96 voters prefer Lacey Brown over Crystal Bowersox
X = Crystal Bowersox
Y = Katie Stevens		 527
527 voters prefer Crystal Bowersox over Katie Stevens		 53
53 voters have an equal preference for Crystal Bowersox and Katie Stevens		 107
107 voters prefer Katie Stevens over Crystal Bowersox
X = Crystal Bowersox
Y = Paige Miles		 561
561 voters prefer Crystal Bowersox over Paige Miles		 54
54 voters have an equal preference for Crystal Bowersox and Paige Miles		 72
72 voters prefer Paige Miles over Crystal Bowersox
X = Siobhan Magnus
Y = Lilly Scott		 459
459 voters prefer Siobhan Magnus over Lilly Scott		 49
49 voters have an equal preference for Siobhan Magnus and Lilly Scott		 179
179 voters prefer Lilly Scott over Siobhan Magnus
X = Siobhan Magnus
Y = Didi Benami		 459
459 voters prefer Siobhan Magnus over Didi Benami		 51
51 voters have an equal preference for Siobhan Magnus over Didi Benami		 177
177 voters prefer Didi Benami over Siobhan Magnus
X = Siobhan Magnus
Y = Katelyn Epperly		 488
488 voters prefer Siobhan Magnus over Katelyn Epperly		 58
58 voters have an equal preference for Siobhan Magnus over Katelyn Epperly		 141
141 voters prefer Katelyn Epperly over Siobhan Magnus
X = Siobhan Magnus
Y = Lacey Brown		 513
513 voters prefer Siobhan Magnus over Lacey Brown		 51
51 voters have an equal preference for Siobhan Magnus over Lacey Brown		 123
123 voters prefer Lacey Brown over Siobhan Magnus
X = Siobhan Magnus
Y = Katie Stevens		 538
538 voters prefer Siobhan Magnus over Katie Stevens		 49
49 voters have an equal preference for Siobhan Magnus and Katie Stevens		 100
100 voters prefer Katie Stevens over Siobhan Magnus
X = Siobhan Magnus
Y = Paige Miles		 558
558 voters prefer Siobhan Magnus over Paige Miles		 49
49 voters have an equal preference for Siobhan Magnus and Paige Miles		 80
80 voters prefer Paige Miles over Siobhan Magnus
X = Lilly Scott
Y = Didi Benami		 330
330 voters prefer Lilly Scott over Didi Benami		 58
58 voters have an equal preference for Lilly Scott over Didi Benami		 299
299 voters prefer Didi Benami over Lilly Scott
X = Lilly Scott
Y = Katelyn Epperly		 377
377 voters prefer Lilly Scott over Katelyn Epperly		 65
65 voters have an equal preference for Lilly Scott over Katelyn Epperly		 245
245 voters prefer Katelyn Epperly over Lilly Scott
X = Lilly Scott
Y = Lacey Brown		 417
417 voters prefer Lilly Scott over Lacey Brown		 70
70 voters have an equal preference for Lilly Scott over Lacey Brown		 200
200 voters prefer Lacey Brown over Lilly Scott
X = Lilly Scott
Y = Katie Stevens		 460
460 voters prefer Lilly Scott over Katie Stevens		 60
60 voters have an equal preference for Lilly Scott and Katie Stevens		 167
167 voters prefer Katie Stevens over Lilly Scott
X = Lilly Scott
Y = Paige Miles		 496
496 voters prefer Lilly Scott over Paige Miles		 62
62 voters have an equal preference for Lilly Scott over Paige Miles		 129
129 voters prefer Paige Miles over Lilly Scott
X = Didi Benami
Y = Katelyn Epperly		 347
347 voters prefer Didi Benami over Katelyn Epperly		 70
70 voters have an equal preference for Didi Benami and Katelyn Epperly		 270
270 voters prefer Katelyn Epperly over Didi Benami
X = Didi Benami
Y = Lacey Brown		 421
421 voters prefer Didi Benami over Lacey Brown		 72
72 voters have an equal preference for Didi Benami and Lacey Brown		 194
194 voters prefer Lacey Brown over Didi Benami
X = Didi Benami
Y = Katie Stevens		 431
431 voters prefer Didi Benami over Katie Stevens		 71
71 voters have an equal preference for Didi Benami and Katie Stevens		 185
185 voters prefer Katie Stevens over Didi Benami
X = Didi Benami
Y = Paige Miles		 484
484 voters prefer Didi Benami over Paige Miles		 69
69 voters have an equal preference for Didi Benami and Paige Miles		 134
134 voters prefer Paige Miles over Didi Benami
X = Katelyn Epperly
Y = Lacey Brown		 346
346 voters prefer Katelyn Epperly over Lacey Brown		 79
79 voters have an equal preference for Katelyn Epperly over Lacey Brown		 262
262 voters prefer Lacey Brown over Katelyn Epperly
X = Katelyn Epperly
Y = Katie Stevens		 388
388 voters prefer Katelyn Epperly over Katie Stevens		 79
79 voters have an equal preference for Katelyn Epperly and Katie Stevens		 220
220 voters prefer Katie Stevens over Katelyn Epperly
X = Katelyn Epperly
Y = Paige Miles		 472
472 voters prefer Katelyn Epperly over Paige Miles		 74
74 voters have an equal preference for Katelyn Epperly and Paige Miles		 141
141 voters prefer Paige Miles over Katelyn Epperly
X = Lacey Brown
Y = Katie Stevens		 327
327 voters prefer Lacey Brown over Katie Stevens		 78
78 voters have an equal preference for Lacey Brown and Katie Stevens		 282
282 voters prefer Katie Stevens over Lacey Brown
X = Lacey Brown
Y = Paige Miles		 418
418 voters prefer Lacey Brown over Paige Miles		 78
78 voters have an equal preference for Lacey Brown and Paige Miles		 191
191 voters prefer Paige Miles over Lacey Brown
X = Katie Stevens
Y = Paige Miles		 415
415 voters prefer Katie Stevens over Paige Miles		 77
77 voters have an equal preference for Katie Stevens over Paige Miles		 195
195 voters prefer Paige Miles over Katie Stevens
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 12,545
Number of all possible valid sequences (without ties): 40,320
First sequence:
  1. Didi Benami
  2. Crystal Bowersox
  3. Lacey Brown
  4. Katelyn Epperly
  5. Siobhan Magnus
  6. Paige Miles
  7. Lilly Scott
  8. Katie Stevens
Last sequence:
  1. Katie Stevens
  2. Lilly Scott
  3. Paige Miles
  4. Siobhan Magnus
  5. Katelyn Epperly
  6. Lacey Brown
  7. Crystal Bowersox
  8. Didi Benami
© Copyright 2009 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 x34
  • 1&2&3&4&5&6&8,7 x1
  • 1&2&4&5&6&8,3&7 x1
  • 1&2&4&5&8,3&6&7 x1
  • 1&3&4&5&6&8,7,2 x1
  • 1&6,3&4&8,5&7,2 x1
  • 1,2&3&7,4&5,6,8 x1
  • 1,2&4&5&7,3&6&8 x1
  • 1,2&4&5,7,3&6&8 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 x4
  • 1,2,3,4,7,5,8,6 x1
  • 1,2,3,4,8,6,5,7 x1
  • 1,2,3,5,6,7,8,4 x1
  • 1,2,3,5,7,8,4,6 x1
  • 1,2,3,5,8,7,4,6 x1
  • 1,2,3,8,4,6,5,7 x1
  • 1,2,3,8,5,4,7,6 x1
  • 1,2,4,3,7,5,6,8 x1
  • 1,2,4,3,7,8,5,6 x1
  • 1,2,4,5,3,7,8,6 x2
  • 1,2,4,5,8,7,6,3 x1
  • 1,2,4,7,8,6,5,3 x1
  • 1,2,5,3&4&6&7&8 x1
  • 1,2,5,3,7,4,8,6 x1
  • 1,2,5,4,7,3,8,6 x1
  • 1,2,5,4,7,8,3,6 x1
  • 1,2,5,4,7,8,6,3 x1
  • 1,2,5,4,8,3,7,6 x1
  • 1,2,5,4,8,6,7,3 x1
  • 1,2,5,4,8,7,3,6 x1
  • 1,2,5,7,8,4,3,6 x1
  • 1,2,5,8,3,4,7,6 x1
  • 1,2,5,8,7,3,4,6 x1
  • 1,2,6,3,4,5,7,8 x1
  • 1,2,7,3,4,5,6,8 x1
  • 1,2,7,4,3,8,5,6 x1
  • 1,2,7,4,5,8,3,6 x1
  • 1,2,7,4,8,6,5,3 x1
  • 1,2,7,5,3,4,8,6 x2
  • 1,2,8,3,4,6,5,7 x1
  • 1,2,8,7,3,5,6,4 x1
  • 1,3,5,2,6,8,7,4 x1
  • 1,3,6,5,2,7,4,8 x1
  • 1,3,7,5,4,2,6,8 x1
  • 1,3,8,4,2,6,7,5 x1
  • 1,5,2,3&4&6&7&8 x1
  • 1,5,2,3,4,7,8,6 x3
  • 1,5,2,3,7,4,8,6 x1
  • [Remaining ballots not listed]

© Copyright 2009 Solutions Through Innovation at www.VoteFair.org

Software version: 2010-Mar-11

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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