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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 2) title:

     Who is your favorite and second-favorite female singer?    

The most preferred and most representative choice is:

    Sarina-Joi Crowe

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Sarina-Joi Crowe Ranking score is 71 for Sarina-Joi Crowe 63 voters marked Sarina-Joi Crowe as their first choice
Second-most popular Jax Cole Ranking score is 48 for Jax Cole 35 voters marked Jax Cole as their first choice
Third-most popular Tyanna Jones Ranking score is 43 for Tyanna Jones 18 voters marked Tyanna Jones as their first choice
Fourth-most popular Joey Cook Ranking score is 26 for Joey Cook 5 voters marked Joey Cook as their first choice
Fifth-most popular Maddie Walker Ranking score is 20 for Maddie Walker 7 voters marked Maddie Walker as their first choice
Sixth-most popular Loren Lott Ranking score is 12 for Loren Lott 4 voters marked Loren Lott as their first choice
Seventh-most popular Adanna Duru Ranking score is 7 for Adanna Duru 7 voters marked Adanna Duru as their first choice
Eighth-most popular Alexis Gomez Ranking score is 0 for Alexis Gomez 6 voters marked Alexis Gomez as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Sarina-Joi Crowe

Second-most representative choice is:

Jax Cole

Third-most representative choice is:

Tyanna Jones

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 Sarina-Joi Crowe
Instant runoff Sarina-Joi Crowe
(5 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 : Loren Lott)
Majority None of the choices has won a majority (more than half) the votes.

(7 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Sarina-Joi Crowe

(7 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Sarina-Joi Crowe
Borda count Sarina-Joi Crowe
(56 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Sarina-Joi Crowe 63 43 63 voters marked Sarina-Joi Crowe as their first choice
Jax Cole 35 24 35 voters marked Jax Cole as their first choice
Tyanna Jones 18 12 18 voters marked Tyanna Jones as their first choice
Maddie Walker 7 5 7 voters marked Maddie Walker as their first choice
Adanna Duru 7 5 7 voters marked Adanna Duru as their first choice
Alexis Gomez 6 4 6 voters marked Alexis Gomez as their first choice
Joey Cook 5 3 5 voters marked Joey Cook as their first choice
Loren Lott 4 3 4 voters marked Loren Lott as their first choice
(7 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 = Sarina-Joi Crowe
Y = Jax Cole		 84
84 voters prefer Sarina-Joi Crowe over Jax Cole		 8
8 voters have an equal preference for Sarina-Joi Crowe over Jax Cole		 60
60 voters prefer Jax Cole over Sarina-Joi Crowe
X = Sarina-Joi Crowe
Y = Tyanna Jones		 101
101 voters prefer Sarina-Joi Crowe over Tyanna Jones		 10
10 voters have an equal preference for Sarina-Joi Crowe and Tyanna Jones		 41
41 voters prefer Tyanna Jones over Sarina-Joi Crowe
X = Sarina-Joi Crowe
Y = Joey Cook		 108
108 voters prefer Sarina-Joi Crowe over Joey Cook		 10
10 voters have an equal preference for Sarina-Joi Crowe over Joey Cook		 34
34 voters prefer Joey Cook over Sarina-Joi Crowe
X = Sarina-Joi Crowe
Y = Maddie Walker		 111
111 voters prefer Sarina-Joi Crowe over Maddie Walker		 11
11 voters have an equal preference for Sarina-Joi Crowe over Maddie Walker		 30
30 voters prefer Maddie Walker over Sarina-Joi Crowe
X = Sarina-Joi Crowe
Y = Loren Lott		 118
118 voters prefer Sarina-Joi Crowe over Loren Lott		 16
16 voters have an equal preference for Sarina-Joi Crowe over Loren Lott		 18
18 voters prefer Loren Lott over Sarina-Joi Crowe
X = Sarina-Joi Crowe
Y = Adanna Duru		 109
109 voters prefer Sarina-Joi Crowe over Adanna Duru		 16
16 voters have an equal preference for Sarina-Joi Crowe over Adanna Duru		 27
27 voters prefer Adanna Duru over Sarina-Joi Crowe
X = Sarina-Joi Crowe
Y = Alexis Gomez		 121
121 voters prefer Sarina-Joi Crowe over Alexis Gomez		 10
10 voters have an equal preference for Sarina-Joi Crowe over Alexis Gomez		 21
21 voters prefer Alexis Gomez over Sarina-Joi Crowe
X = Jax Cole
Y = Tyanna Jones		 69
69 voters prefer Jax Cole over Tyanna Jones		 25
25 voters have an equal preference for Jax Cole and Tyanna Jones		 58
58 voters prefer Tyanna Jones over Jax Cole
X = Jax Cole
Y = Joey Cook		 85
85 voters prefer Jax Cole over Joey Cook		 34
34 voters have an equal preference for Jax Cole and Joey Cook		 33
33 voters prefer Joey Cook over Jax Cole
X = Jax Cole
Y = Maddie Walker		 90
90 voters prefer Jax Cole over Maddie Walker		 30
30 voters have an equal preference for Jax Cole and Maddie Walker		 32
32 voters prefer Maddie Walker over Jax Cole
X = Jax Cole
Y = Loren Lott		 88
88 voters prefer Jax Cole over Loren Lott		 33
33 voters have an equal preference for Jax Cole and Loren Lott		 31
31 voters prefer Loren Lott over Jax Cole
X = Jax Cole
Y = Adanna Duru		 88
88 voters prefer Jax Cole over Adanna Duru		 32
32 voters have an equal preference for Jax Cole over Adanna Duru		 32
32 voters prefer Adanna Duru over Jax Cole
X = Jax Cole
Y = Alexis Gomez		 96
96 voters prefer Jax Cole over Alexis Gomez		 34
34 voters have an equal preference for Jax Cole over Alexis Gomez		 22
22 voters prefer Alexis Gomez over Jax Cole
X = Tyanna Jones
Y = Joey Cook		 86
86 voters prefer Tyanna Jones over Joey Cook		 27
27 voters have an equal preference for Tyanna Jones over Joey Cook		 39
39 voters prefer Joey Cook over Tyanna Jones
X = Tyanna Jones
Y = Maddie Walker		 86
86 voters prefer Tyanna Jones over Maddie Walker		 24
24 voters have an equal preference for Tyanna Jones over Maddie Walker		 42
42 voters prefer Maddie Walker over Tyanna Jones
X = Tyanna Jones
Y = Loren Lott		 91
91 voters prefer Tyanna Jones over Loren Lott		 28
28 voters have an equal preference for Tyanna Jones over Loren Lott		 33
33 voters prefer Loren Lott over Tyanna Jones
X = Tyanna Jones
Y = Adanna Duru		 89
89 voters prefer Tyanna Jones over Adanna Duru		 28
28 voters have an equal preference for Tyanna Jones over Adanna Duru		 35
35 voters prefer Adanna Duru over Tyanna Jones
X = Tyanna Jones
Y = Alexis Gomez		 101
101 voters prefer Tyanna Jones over Alexis Gomez		 27
27 voters have an equal preference for Tyanna Jones over Alexis Gomez		 24
24 voters prefer Alexis Gomez over Tyanna Jones
X = Joey Cook
Y = Maddie Walker		 67
67 voters prefer Joey Cook over Maddie Walker		 33
33 voters have an equal preference for Joey Cook and Maddie Walker		 52
52 voters prefer Maddie Walker over Joey Cook
X = Joey Cook
Y = Loren Lott		 66
66 voters prefer Joey Cook over Loren Lott		 35
35 voters have an equal preference for Joey Cook and Loren Lott		 51
51 voters prefer Loren Lott over Joey Cook
X = Joey Cook
Y = Adanna Duru		 63
63 voters prefer Joey Cook over Adanna Duru		 36
36 voters have an equal preference for Joey Cook over Adanna Duru		 53
53 voters prefer Adanna Duru over Joey Cook
X = Joey Cook
Y = Alexis Gomez		 81
81 voters prefer Joey Cook over Alexis Gomez		 36
36 voters have an equal preference for Joey Cook over Alexis Gomez		 35
35 voters prefer Alexis Gomez over Joey Cook
X = Maddie Walker
Y = Loren Lott		 70
70 voters prefer Maddie Walker over Loren Lott		 40
40 voters have an equal preference for Maddie Walker over Loren Lott		 42
42 voters prefer Loren Lott over Maddie Walker
X = Maddie Walker
Y = Adanna Duru		 62
62 voters prefer Maddie Walker over Adanna Duru		 36
36 voters have an equal preference for Maddie Walker over Adanna Duru		 54
54 voters prefer Adanna Duru over Maddie Walker
X = Maddie Walker
Y = Alexis Gomez		 81
81 voters prefer Maddie Walker over Alexis Gomez		 39
39 voters have an equal preference for Maddie Walker over Alexis Gomez		 32
32 voters prefer Alexis Gomez over Maddie Walker
X = Loren Lott
Y = Adanna Duru		 56
56 voters prefer Loren Lott over Adanna Duru		 44
44 voters have an equal preference for Loren Lott over Adanna Duru		 52
52 voters prefer Adanna Duru over Loren Lott
X = Loren Lott
Y = Alexis Gomez		 71
71 voters prefer Loren Lott over Alexis Gomez		 39
39 voters have an equal preference for Loren Lott over Alexis Gomez		 42
42 voters prefer Alexis Gomez over Loren Lott
X = Adanna Duru
Y = Alexis Gomez		 74
74 voters prefer Adanna Duru over Alexis Gomez		 40
40 voters have an equal preference for Adanna Duru and Alexis Gomez		 38
38 voters prefer Alexis Gomez over Adanna Duru
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 2,412
Number of all possible valid sequences (without ties): 40,320
First sequence:
  1. Adanna Duru
  2. Alexis Gomez
  3. Jax Cole
  4. Joey Cook
  5. Loren Lott
  6. Maddie Walker
  7. Sarina-Joi Crowe
  8. Tyanna Jones
Last sequence:
  1. Tyanna Jones
  2. Sarina-Joi Crowe
  3. Maddie Walker
  4. Loren Lott
  5. Joey Cook
  6. Jax Cole
  7. Alexis Gomez
  8. Adanna Duru
© 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 x1
  • 1&5&6&7&8,2&3&4 x1
  • 1,2,4,5,6,7,8,3 x1
  • 1,3,7,8,6,5,2,4 x1
  • 1,3,8,5,7,4,6,2 x1
  • 1,4,3,8,7,5,6,2 x1
  • 1,7,3,2,4,5,6,8 x1
  • 1,7,8,4,5,6,3,2 x1
  • 1,7,8,4,6,5,3,2 x1
  • 2,1&3&4&5&6&7&8 x1
  • 2,1,4,3,5,6,8,7 x1
  • 2,1,6,5,4,3,7,8 x1
  • 2,3,6,8,7,1,5,4 x1
  • 2,6,8,3,7,5,1,4 x1
  • 2,8,7,1,3,5,6,4 x1
  • 3&4&7,1&5&8,2&6 x1
  • 3&4&8,5&6&7,1&2 x1
  • 3&4,1&5&7,8,6,2 x1
  • 3,1&2&4&5&6&7&8 x2
  • 3,1,2,6,7,4,5,8 x1
  • 3,1,7,4,2,8,5,6 x1
  • 3,1,7,6,8,5,2,4 x1
  • 3,2,4,8,6,7,5,1 x1
  • 3,4,1&2&5&6&7&8 x1
  • 3,4,6,7,5,8,1,2 x1
  • 3,4,7,6,5,8,1,2 x1
  • 3,4,8,1,7,2,5,6 x1
  • 3,4,8,7,6,5,1,2 x1
  • 3,5,1,7,8,6,2,4 x1
  • 3,6,1,2,4,5,7,8 x1
  • 3,6,1,7,5,8,4,2 x1
  • 3,6,5,1,8,2,7,4 x1
  • 3,6,7,8,1&4,5,2 x1
  • 3,6,7,8,2,5,1,4 x1
  • 3,6,7,8,5,2,1,4 x1
  • 3,6,8,7,5,4,2,1 x1
  • 3,7,4,1,8,6,2,5 x1
  • 3,7,5,1,8,4,6,2 x1
  • 3,7,6,5,8,4,2,1 x2
  • 3,7,8,4,1,5,6,2 x1
  • 3,7,8,4,5,1,6,2 x1
  • 3,7,8,4,5,6,1,2 x1
  • 3,7,8,5,6,4,2,1 x1
  • 3,7,8,6,5,1,4,2 x1
  • 3,7,8,6,5,4,2,1 x1
  • 3,8,1&2&4&5&6&7 x1
  • 3,8,4,6,7,2,5,1 x1
  • 3,8,4,7,6,1,5,2 x2
  • 3,8,4,7,6,2,5,1 x1
  • 3,8,7,4,2,1,6,5 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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