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VoteFair Ranking Results calculated at  www.VoteFair.org 2015-March-11  22:12

Poll title:

     American Idol poll, Season 14, Top 16    

Question (number 1) title:

     Who is your favorite and second-favorite male singer?    

The most preferred and most representative choice is:

    Clark Beckham

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Clark Beckham  Ranking score is 47 for Clark Beckham 35 voters marked Clark Beckham as their first choice
Second-most popular Quentin Alexander  Ranking score is 39 for Quentin Alexander 19 voters marked Quentin Alexander as their first choice
Third-most popular Nick Fradiani  Ranking score is 34 for Nick Fradiani 17 voters marked Nick Fradiani as their first choice
Fourth-most popular Qaasim Middleton  Ranking score is 24 for Qaasim Middleton 14 voters marked Qaasim Middleton as their first choice
Fifth-most popular Rayvon Owen  Ranking score is 19 for Rayvon Owen 8 voters marked Rayvon Owen as their first choice
Sixth-most popular Daniel Seavey  Ranking score is 10 for Daniel Seavey 16 voters marked Daniel Seavey as their first choice
Seventh-most popular Adam Ezegelian  Ranking score is 5 for Adam Ezegelian 5 voters marked Adam Ezegelian as their first choice
Eighth-most popular Mark Andrew  Ranking score is 0 for Mark Andrew 2 voters marked Mark Andrew as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Clark Beckham

Second-most representative choice is:

Quentin Alexander

Third-most representative choice is:

Nick Fradiani

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 Clark Beckham
Instant runoff A winner cannot be identified because, in one of the rounds of voting, there is a tie among the choices with the fewest votes.
(Choice eliminated in the first round : Mark Andrew)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Clark Beckham 35 30 35 voters marked Clark Beckham as their first choice
Quentin Alexander 19 16 19 voters marked Quentin Alexander as their first choice
Nick Fradiani 17 15 17 voters marked Nick Fradiani as their first choice
Daniel Seavey 16 14 16 voters marked Daniel Seavey as their first choice
Qaasim Middleton 14 12 14 voters marked Qaasim Middleton as their first choice
Rayvon Owen 8 7 8 voters marked Rayvon Owen as their first choice
Adam Ezegelian 5 4 5 voters marked Adam Ezegelian as their first choice
Mark Andrew 2 2 2 voters marked Mark Andrew 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: 152
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 = Clark Beckham
Y = Quentin Alexander
61
61 voters prefer Clark Beckham over Quentin Alexander
41
41 voters have an equal preference for Clark Beckham and Quentin Alexander
50
50 voters prefer Quentin Alexander over Clark Beckham
X = Clark Beckham
Y = Nick Fradiani
59
59 voters prefer Clark Beckham over Nick Fradiani
44
44 voters have an equal preference for Clark Beckham and Nick Fradiani
49
49 voters prefer Nick Fradiani over Clark Beckham
X = Clark Beckham
Y = Qaasim Middleton
66
66 voters prefer Clark Beckham over Qaasim Middleton
41
41 voters have an equal preference for Clark Beckham and Qaasim Middleton
45
45 voters prefer Qaasim Middleton over Clark Beckham
X = Clark Beckham
Y = Rayvon Owen
71
71 voters prefer Clark Beckham over Rayvon Owen
39
39 voters have an equal preference for Clark Beckham and Rayvon Owen
42
42 voters prefer Rayvon Owen over Clark Beckham
X = Clark Beckham
Y = Daniel Seavey
78
78 voters prefer Clark Beckham over Daniel Seavey
41
41 voters have an equal preference for Clark Beckham and Daniel Seavey
33
33 voters prefer Daniel Seavey over Clark Beckham
X = Clark Beckham
Y = Adam Ezegelian
81
81 voters prefer Clark Beckham over Adam Ezegelian
47
47 voters have an equal preference for Clark Beckham over Adam Ezegelian
24
24 voters prefer Adam Ezegelian over Clark Beckham
X = Clark Beckham
Y = Mark Andrew
88
88 voters prefer Clark Beckham over Mark Andrew
45
45 voters have an equal preference for Clark Beckham and Mark Andrew
19
19 voters prefer Mark Andrew over Clark Beckham
X = Quentin Alexander
Y = Nick Fradiani
58
58 voters prefer Quentin Alexander over Nick Fradiani
42
42 voters have an equal preference for Quentin Alexander over Nick Fradiani
52
52 voters prefer Nick Fradiani over Quentin Alexander
X = Quentin Alexander
Y = Qaasim Middleton
62
62 voters prefer Quentin Alexander over Qaasim Middleton
48
48 voters have an equal preference for Quentin Alexander over Qaasim Middleton
42
42 voters prefer Qaasim Middleton over Quentin Alexander
X = Quentin Alexander
Y = Rayvon Owen
63
63 voters prefer Quentin Alexander over Rayvon Owen
46
46 voters have an equal preference for Quentin Alexander and Rayvon Owen
43
43 voters prefer Rayvon Owen over Quentin Alexander
X = Quentin Alexander
Y = Daniel Seavey
71
71 voters prefer Quentin Alexander over Daniel Seavey
43
43 voters have an equal preference for Quentin Alexander over Daniel Seavey
38
38 voters prefer Daniel Seavey over Quentin Alexander
X = Quentin Alexander
Y = Adam Ezegelian
80
80 voters prefer Quentin Alexander over Adam Ezegelian
47
47 voters have an equal preference for Quentin Alexander over Adam Ezegelian
25
25 voters prefer Adam Ezegelian over Quentin Alexander
X = Quentin Alexander
Y = Mark Andrew
79
79 voters prefer Quentin Alexander over Mark Andrew
46
46 voters have an equal preference for Quentin Alexander over Mark Andrew
27
27 voters prefer Mark Andrew over Quentin Alexander
X = Nick Fradiani
Y = Qaasim Middleton
65
65 voters prefer Nick Fradiani over Qaasim Middleton
44
44 voters have an equal preference for Nick Fradiani and Qaasim Middleton
43
43 voters prefer Qaasim Middleton over Nick Fradiani
X = Nick Fradiani
Y = Rayvon Owen
64
64 voters prefer Nick Fradiani over Rayvon Owen
41
41 voters have an equal preference for Nick Fradiani and Rayvon Owen
47
47 voters prefer Rayvon Owen over Nick Fradiani
X = Nick Fradiani
Y = Daniel Seavey
73
73 voters prefer Nick Fradiani over Daniel Seavey
46
46 voters have an equal preference for Nick Fradiani over Daniel Seavey
33
33 voters prefer Daniel Seavey over Nick Fradiani
X = Nick Fradiani
Y = Adam Ezegelian
77
77 voters prefer Nick Fradiani over Adam Ezegelian
48
48 voters have an equal preference for Nick Fradiani over Adam Ezegelian
27
27 voters prefer Adam Ezegelian over Nick Fradiani
X = Nick Fradiani
Y = Mark Andrew
83
83 voters prefer Nick Fradiani over Mark Andrew
45
45 voters have an equal preference for Nick Fradiani over Mark Andrew
24
24 voters prefer Mark Andrew over Nick Fradiani
X = Qaasim Middleton
Y = Rayvon Owen
55
55 voters prefer Qaasim Middleton over Rayvon Owen
49
49 voters have an equal preference for Qaasim Middleton and Rayvon Owen
48
48 voters prefer Rayvon Owen over Qaasim Middleton
X = Qaasim Middleton
Y = Daniel Seavey
65
65 voters prefer Qaasim Middleton over Daniel Seavey
46
46 voters have an equal preference for Qaasim Middleton over Daniel Seavey
41
41 voters prefer Daniel Seavey over Qaasim Middleton
X = Qaasim Middleton
Y = Adam Ezegelian
68
68 voters prefer Qaasim Middleton over Adam Ezegelian
50
50 voters have an equal preference for Qaasim Middleton over Adam Ezegelian
34
34 voters prefer Adam Ezegelian over Qaasim Middleton
X = Qaasim Middleton
Y = Mark Andrew
71
71 voters prefer Qaasim Middleton over Mark Andrew
47
47 voters have an equal preference for Qaasim Middleton over Mark Andrew
34
34 voters prefer Mark Andrew over Qaasim Middleton
X = Rayvon Owen
Y = Daniel Seavey
63
63 voters prefer Rayvon Owen over Daniel Seavey
44
44 voters have an equal preference for Rayvon Owen over Daniel Seavey
45
45 voters prefer Daniel Seavey over Rayvon Owen
X = Rayvon Owen
Y = Adam Ezegelian
69
69 voters prefer Rayvon Owen over Adam Ezegelian
48
48 voters have an equal preference for Rayvon Owen over Adam Ezegelian
35
35 voters prefer Adam Ezegelian over Rayvon Owen
X = Rayvon Owen
Y = Mark Andrew
75
75 voters prefer Rayvon Owen over Mark Andrew
48
48 voters have an equal preference for Rayvon Owen over Mark Andrew
29
29 voters prefer Mark Andrew over Rayvon Owen
X = Daniel Seavey
Y = Adam Ezegelian
53
53 voters prefer Daniel Seavey over Adam Ezegelian
50
50 voters have an equal preference for Daniel Seavey over Adam Ezegelian
49
49 voters prefer Adam Ezegelian over Daniel Seavey
X = Daniel Seavey
Y = Mark Andrew
57
57 voters prefer Daniel Seavey over Mark Andrew
47
47 voters have an equal preference for Daniel Seavey and Mark Andrew
48
48 voters prefer Mark Andrew over Daniel Seavey
X = Adam Ezegelian
Y = Mark Andrew
57
57 voters prefer Adam Ezegelian over Mark Andrew
54
54 voters have an equal preference for Adam Ezegelian and Mark Andrew
41
41 voters prefer Mark Andrew over Adam Ezegelian
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,912
Number of all possible valid sequences (without ties): 40,320
First sequence:
  1. Adam Ezegelian
  2. Clark Beckham
  3. Daniel Seavey
  4. Mark Andrew
  5. Nick Fradiani
  6. Qaasim Middleton
  7. Quentin Alexander
  8. Rayvon Owen
Last sequence:
  1. Rayvon Owen
  2. Quentin Alexander
  3. Qaasim Middleton
  4. Nick Fradiani
  5. Mark Andrew
  6. Daniel Seavey
  7. Clark Beckham
  8. Adam Ezegelian
© 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 x32
  • 1&2&3&5&6&7,4&8 x1
  • 1,4,6,5,2,8,3,7 x1
  • 1,4,7,6,5,3,8,2 x1
  • 1,4,8,7,6,5,2,3 x1
  • 1,5,3,7,8,2,6,4 x1
  • 1,6,7,3,2,5,8,4 x1
  • 2,1&3&4&5&6&7&8 x1
  • 2,1,3,4,8,6,7,5 x1
  • 2,3,4,5,6&8,1,7 x1
  • 2,3,5,7,6,8,4,1 x1
  • 2,4,1&3&5&6&7&8 x1
  • 2,5,1&3&4&6&7&8 x2
  • 2,5,3,1&4&6&7&8 x1
  • 2,5,3,1,4&8,6&7 x1
  • 2,5,4,3,7,8,6,1 x1
  • 2,5,7,3,8,4,1,6 x1
  • 2,5,7,4,3,1,6,8 x1
  • 2,5,7,6,8,3,4,1 x1
  • 2,5,7,8,4,6,1,3 x1
  • 2,5,8,4,7,1,6,3 x1
  • 2,5,8,4,7,3,6,1 x1
  • 2,5,8,7,6,1,4,3 x1
  • 2,5,8,7,6,3,1,4 x1
  • 2,6,1&3,8,4&5&7 x1
  • 2,6,5,1,3,4,7,8 x1
  • 2,6,7,1,5,8,4,3 x1
  • 2,6,7,1,8,5,4,3 x1
  • 2,6,8,7,5,4,3,1 x1
  • 2,7,1&3&4&5&6&8 x2
  • 2,7,1,6,8,5,4,3 x1
  • 2,7,3,1,4,5,6,8 x1
  • 2,7,3,5,8,4,6,1 x1
  • 2,7,5,6,1,8,3,4 x1
  • 2,7,5,8,3,6,1,4 x1
  • 2,8,4,7,5,1,6,3 x1
  • 2,8,5,3,7,1,4,6 x1
  • 2,8,7,1,5,6,4,3 x1
  • 2,8,7,5,3,1,4,6 x1
  • 2,8,7,5,3,4,1,6 x1
  • 3&5&6&7&8,1&2&4 x1
  • 3,1,2,4,5,6,7,8 x1
  • 3,2,5,6,8,4,7,1 x1
  • 3,4,1,8,2&5&6&7 x1
  • 3,4,5,6,8,7,1,2 x1
  • 3,5,1,6,2,7,8,4 x1
  • 3,6,1,2,7,8,5,4 x1
  • 3,6,5,2,8,4,1,7 x1
  • 3,6,5,7,8,2,4,1 x1
  • 3,6,7,2,8,1,5,4 x1
  • [Remaining ballots not listed]

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

Software version: 2015-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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