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VoteFair Ranking Results calculated at  www.VoteFair.org 2015-April-8  17:49

Poll title:

     American Idol poll, Season 14, Top 8    

Question (number 1) title:

     Who is your favorite and second-favorite 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 77 for Clark Beckham 77 voters marked Clark Beckham as their first choice
Second-most popular Jax Cole Ranking score is 59 for Jax Cole 23 voters marked Jax Cole as their first choice
Third-most popular Joey Cook Ranking score is 47 for Joey Cook 26 voters marked Joey Cook as their first choice
Fourth-most popular Tyanna Jones Ranking score is 36 for Tyanna Jones 9 voters marked Tyanna Jones as their first choice
Fifth-most popular Nick Fradiani Ranking score is 28 for Nick Fradiani 13 voters marked Nick Fradiani as their first choice
Sixth-most popular Quentin Alexander Ranking score is 20 for Quentin Alexander 10 voters marked Quentin Alexander as their first choice
Seventh-most popular Rayvon Owen Ranking score is 10 for Rayvon Owen 0 voters marked Rayvon Owen as their first choice
Eighth-most popular Qaasim Middleton Ranking score is 0 for Qaasim Middleton 2 voters marked Qaasim Middleton as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Clark Beckham

Second-most representative choice is:

Jax Cole

Third-most representative choice is:

Joey 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 Clark Beckham
Instant runoff Clark Beckham
(Choice eliminated in the first round : Rayvon Owen)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Clark Beckham 77 48 77 voters marked Clark Beckham as their first choice
Joey Cook 26 16 26 voters marked Joey Cook as their first choice
Jax Cole 23 14 23 voters marked Jax Cole as their first choice
Nick Fradiani 13 8 13 voters marked Nick Fradiani as their first choice
Quentin Alexander 10 6 10 voters marked Quentin Alexander as their first choice
Tyanna Jones 9 6 9 voters marked Tyanna Jones as their first choice
Qaasim Middleton 2 1 2 voters marked Qaasim Middleton as their first choice
Rayvon Owen 0 0 0 voters marked Rayvon Owen as their first choice
(10 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: 170
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 = Jax Cole		 108
108 voters prefer Clark Beckham over Jax Cole		 8
8 voters have an equal preference for Clark Beckham and Jax Cole		 54
54 voters prefer Jax Cole over Clark Beckham
X = Clark Beckham
Y = Joey Cook		 113
113 voters prefer Clark Beckham over Joey Cook		 8
8 voters have an equal preference for Clark Beckham and Joey Cook		 49
49 voters prefer Joey Cook over Clark Beckham
X = Clark Beckham
Y = Tyanna Jones		 134
134 voters prefer Clark Beckham over Tyanna Jones		 7
7 voters have an equal preference for Clark Beckham and Tyanna Jones		 29
29 voters prefer Tyanna Jones over Clark Beckham
X = Clark Beckham
Y = Nick Fradiani		 138
138 voters prefer Clark Beckham over Nick Fradiani		 5
5 voters have an equal preference for Clark Beckham and Nick Fradiani		 27
27 voters prefer Nick Fradiani over Clark Beckham
X = Clark Beckham
Y = Quentin Alexander		 125
125 voters prefer Clark Beckham over Quentin Alexander		 10
10 voters have an equal preference for Clark Beckham and Quentin Alexander		 35
35 voters prefer Quentin Alexander over Clark Beckham
X = Clark Beckham
Y = Rayvon Owen		 144
144 voters prefer Clark Beckham over Rayvon Owen		 8
8 voters have an equal preference for Clark Beckham and Rayvon Owen		 18
18 voters prefer Rayvon Owen over Clark Beckham
X = Clark Beckham
Y = Qaasim Middleton		 149
149 voters prefer Clark Beckham over Qaasim Middleton		 8
8 voters have an equal preference for Clark Beckham and Qaasim Middleton		 13
13 voters prefer Qaasim Middleton over Clark Beckham
X = Jax Cole
Y = Joey Cook		 84
84 voters prefer Jax Cole over Joey Cook		 12
12 voters have an equal preference for Jax Cole and Joey Cook		 74
74 voters prefer Joey Cook over Jax Cole
X = Jax Cole
Y = Tyanna Jones		 113
113 voters prefer Jax Cole over Tyanna Jones		 11
11 voters have an equal preference for Jax Cole and Tyanna Jones		 46
46 voters prefer Tyanna Jones over Jax Cole
X = Jax Cole
Y = Nick Fradiani		 113
113 voters prefer Jax Cole over Nick Fradiani		 8
8 voters have an equal preference for Jax Cole over Nick Fradiani		 49
49 voters prefer Nick Fradiani over Jax Cole
X = Jax Cole
Y = Quentin Alexander		 112
112 voters prefer Jax Cole over Quentin Alexander		 7
7 voters have an equal preference for Jax Cole over Quentin Alexander		 51
51 voters prefer Quentin Alexander over Jax Cole
X = Jax Cole
Y = Rayvon Owen		 133
133 voters prefer Jax Cole over Rayvon Owen		 10
10 voters have an equal preference for Jax Cole over Rayvon Owen		 27
27 voters prefer Rayvon Owen over Jax Cole
X = Jax Cole
Y = Qaasim Middleton		 145
145 voters prefer Jax Cole over Qaasim Middleton		 9
9 voters have an equal preference for Jax Cole over Qaasim Middleton		 16
16 voters prefer Qaasim Middleton over Jax Cole
X = Joey Cook
Y = Tyanna Jones		 101
101 voters prefer Joey Cook over Tyanna Jones		 13
13 voters have an equal preference for Joey Cook and Tyanna Jones		 56
56 voters prefer Tyanna Jones over Joey Cook
X = Joey Cook
Y = Nick Fradiani		 96
96 voters prefer Joey Cook over Nick Fradiani		 10
10 voters have an equal preference for Joey Cook over Nick Fradiani		 64
64 voters prefer Nick Fradiani over Joey Cook
X = Joey Cook
Y = Quentin Alexander		 107
107 voters prefer Joey Cook over Quentin Alexander		 11
11 voters have an equal preference for Joey Cook over Quentin Alexander		 52
52 voters prefer Quentin Alexander over Joey Cook
X = Joey Cook
Y = Rayvon Owen		 120
120 voters prefer Joey Cook over Rayvon Owen		 14
14 voters have an equal preference for Joey Cook over Rayvon Owen		 36
36 voters prefer Rayvon Owen over Joey Cook
X = Joey Cook
Y = Qaasim Middleton		 137
137 voters prefer Joey Cook over Qaasim Middleton		 13
13 voters have an equal preference for Joey Cook over Qaasim Middleton		 20
20 voters prefer Qaasim Middleton over Joey Cook
X = Tyanna Jones
Y = Nick Fradiani		 90
90 voters prefer Tyanna Jones over Nick Fradiani		 10
10 voters have an equal preference for Tyanna Jones over Nick Fradiani		 70
70 voters prefer Nick Fradiani over Tyanna Jones
X = Tyanna Jones
Y = Quentin Alexander		 88
88 voters prefer Tyanna Jones over Quentin Alexander		 10
10 voters have an equal preference for Tyanna Jones over Quentin Alexander		 72
72 voters prefer Quentin Alexander over Tyanna Jones
X = Tyanna Jones
Y = Rayvon Owen		 110
110 voters prefer Tyanna Jones over Rayvon Owen		 13
13 voters have an equal preference for Tyanna Jones over Rayvon Owen		 47
47 voters prefer Rayvon Owen over Tyanna Jones
X = Tyanna Jones
Y = Qaasim Middleton		 140
140 voters prefer Tyanna Jones over Qaasim Middleton		 12
12 voters have an equal preference for Tyanna Jones over Qaasim Middleton		 18
18 voters prefer Qaasim Middleton over Tyanna Jones
X = Nick Fradiani
Y = Quentin Alexander		 83
83 voters prefer Nick Fradiani over Quentin Alexander		 8
8 voters have an equal preference for Nick Fradiani and Quentin Alexander		 79
79 voters prefer Quentin Alexander over Nick Fradiani
X = Nick Fradiani
Y = Rayvon Owen		 112
112 voters prefer Nick Fradiani over Rayvon Owen		 13
13 voters have an equal preference for Nick Fradiani and Rayvon Owen		 45
45 voters prefer Rayvon Owen over Nick Fradiani
X = Nick Fradiani
Y = Qaasim Middleton		 136
136 voters prefer Nick Fradiani over Qaasim Middleton		 11
11 voters have an equal preference for Nick Fradiani and Qaasim Middleton		 23
23 voters prefer Qaasim Middleton over Nick Fradiani
X = Quentin Alexander
Y = Rayvon Owen		 108
108 voters prefer Quentin Alexander over Rayvon Owen		 12
12 voters have an equal preference for Quentin Alexander and Rayvon Owen		 50
50 voters prefer Rayvon Owen over Quentin Alexander
X = Quentin Alexander
Y = Qaasim Middleton		 130
130 voters prefer Quentin Alexander over Qaasim Middleton		 12
12 voters have an equal preference for Quentin Alexander over Qaasim Middleton		 28
28 voters prefer Qaasim Middleton over Quentin Alexander
X = Rayvon Owen
Y = Qaasim Middleton		 115
115 voters prefer Rayvon Owen over Qaasim Middleton		 14
14 voters have an equal preference for Rayvon Owen over Qaasim Middleton		 41
41 voters prefer Qaasim Middleton over Rayvon Owen
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 3,284
Number of all possible valid sequences (without ties): 40,320
First sequence:
  1. Clark Beckham
  2. Nick Fradiani
  3. Qaasim Middleton
  4. Quentin Alexander
  5. Rayvon Owen
  6. Jax Cole
  7. Joey Cook
  8. Tyanna Jones
Last sequence:
  1. Tyanna Jones
  2. Joey Cook
  3. Jax Cole
  4. Rayvon Owen
  5. Quentin Alexander
  6. Qaasim Middleton
  7. Nick Fradiani
  8. Clark Beckham
© 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 x4
  • 1&4,2&3&5&6&7&8 x2
  • 1&6,3&4&7&8,2,5 x1
  • 1,2,3,4,5,6,7,8 x2
  • 1,2,5,6,7,8,3,4 x1
  • 1,2,5,6,8,4,7,3 x1
  • 1,2,5,7,6,8,4,3 x1
  • 1,2,6,4,5,7,8,3 x1
  • 1,2,6,4,7,5,8,3 x1
  • 1,2,6,7,4,8,5,3 x1
  • 1,2,6,7,8,5,4,3 x1
  • 1,2,6,8,7,4,5,3 x1
  • 1,2,7,4,6,5,8,3 x1
  • 1,2,7,6,8,5,4,3 x1
  • 1,2,8,4,5,3,7,6 x1
  • 1,2,8,6,5,4,3,7 x1
  • 1,2,8,7,6,5,4,3 x1
  • 1,3,5,4,2,6,7,8 x1
  • 1,4,2&3&5&6&7&8 x1
  • 1,4,2,6,5,8,7,3 x1
  • 1,4,2,7,6,8,5,3 x1
  • 1,4,6,7,8,5,2,3 x1
  • 1,4,7,6,2,8,5,3 x1
  • 1,4,7,6,8,2,5,3 x1
  • 1,5,6,2,4,8,7,3 x1
  • 1,5,7,2,4,6,8,3 x1
  • 1,6,2&3&4&5&7&8 x1
  • 1,6,2,4,5,7,8,3 x1
  • 1,6,2,4,7,3,8,5 x1
  • 1,6,2,5,8,4,3,7 x1
  • 1,6,2,5,8,7,4,3 x1
  • 1,6,2,7,4,5,8,3 x1
  • 1,6,4,7,2,8,5,3 x1
  • 1,6,5,2,4,7,3,8 x1
  • 1,6,7,2,4,5,8,3 x2
  • 1,6,7,2,4,8,5,3 x1
  • 1,6,7,2,5,8,4,3 x1
  • 1,6,7,4,5,2,8,3 x1
  • 1,6,7,5,8,3,4,2 x1
  • 1,6,7,8,2,5,4,3 x1
  • 1,6,7,8,4,2,5,3 x1
  • 1,6,7,8,4,3,2,5 x1
  • 1,6,7,8,5,4,3,2 x1
  • 1,6,8,2,3&4&5&7 x1
  • 1,6,8,4,2,7,5,3 x1
  • 1,6,8,7,2,4,5,3 x1
  • 1,7,2&3&4&5&6&8 x1
  • 1,7,2,3,6,5,8,4 x1
  • 1,7,2,8,4,6,5,3 x1
  • 1,7,6,2,4,8,5,3 x1
  • [Remaining ballots not listed]

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

Software version: 2015-Apr-8

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