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VoteFair Ranking Results calculated at  www.VoteFair.org 2015-May-6  13:52

Poll title:

     American Idol poll, Season 14, Top 4    

Question (number 1) title:

     Who is your favorite and second-favorite singer?    

The most preferred and most representative choice is:

    Jax Cole

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Jax Cole  Ranking score is 56 for Jax Cole 76 voters marked Jax Cole as their first choice
Second-most popular Clark Beckham  Ranking score is 38 for Clark Beckham 103 voters marked Clark Beckham as their first choice
Third-most popular Nick Fradiani  Ranking score is 20 for Nick Fradiani 56 voters marked Nick Fradiani as their first choice
Fourth-most popular Rayvon Owen  Ranking score is 0 for Rayvon Owen 37 voters marked Rayvon Owen as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Jax Cole

Second-most representative choice is:

Clark Beckham

Third-most representative choice is:

Nick Fradiani

Fourth-most representative choice is:

Rayvon Owen

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 Jax Cole
Instant runoff Jax Cole
(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 : Rayvon Owen)
Majority None of the choices has won a majority (more than half) the votes.

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

(5 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Jax Cole
Borda count Jax Cole
(34 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Clark Beckham 103 38 103 voters marked Clark Beckham as their first choice
Jax Cole 76 28 76 voters marked Jax Cole as their first choice
Nick Fradiani 56 21 56 voters marked Nick Fradiani as their first choice
Rayvon Owen 37 14 37 voters marked Rayvon Owen as their first choice
(5 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: 277
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 = Jax Cole
Y = Clark Beckham
136
136 voters prefer Jax Cole over Clark Beckham
8
8 voters have an equal preference for Jax Cole over Clark Beckham
133
133 voters prefer Clark Beckham over Jax Cole
X = Jax Cole
Y = Nick Fradiani
153
153 voters prefer Jax Cole over Nick Fradiani
11
11 voters have an equal preference for Jax Cole over Nick Fradiani
113
113 voters prefer Nick Fradiani over Jax Cole
X = Jax Cole
Y = Rayvon Owen
177
177 voters prefer Jax Cole over Rayvon Owen
8
8 voters have an equal preference for Jax Cole over Rayvon Owen
92
92 voters prefer Rayvon Owen over Jax Cole
X = Clark Beckham
Y = Nick Fradiani
144
144 voters prefer Clark Beckham over Nick Fradiani
9
9 voters have an equal preference for Clark Beckham and Nick Fradiani
124
124 voters prefer Nick Fradiani over Clark Beckham
X = Clark Beckham
Y = Rayvon Owen
168
168 voters prefer Clark Beckham over Rayvon Owen
13
13 voters have an equal preference for Clark Beckham and Rayvon Owen
96
96 voters prefer Rayvon Owen over Clark Beckham
X = Nick Fradiani
Y = Rayvon Owen
166
166 voters prefer Nick Fradiani over Rayvon Owen
17
17 voters have an equal preference for Nick Fradiani and Rayvon Owen
94
94 voters prefer Rayvon Owen over Nick Fradiani
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 944
Number of all possible valid sequences (without ties): 24
First sequence:
  1. Clark Beckham
  2. Nick Fradiani
  3. Rayvon Owen
  4. Jax Cole
Last sequence:
  1. Jax Cole
  2. Rayvon Owen
  3. Nick Fradiani
  4. 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 x2
  • 1&2,3&4 x1
  • 1&4,3,2 x1
  • 1,2&3&4 x2
  • 1,2&4,3 x1
  • 1,2,3&4 x1
  • 1,2,3,4 x16
  • 1,2,4,3 x12
  • 1,3,2&4 x2
  • 1,3,2,4 x7
  • 1,3,4,2 x11
  • 1,4,2&3 x9
  • 1,4,2,3 x27
  • 1,4,3,2 x15
  • 2&4,1&3 x1
  • 2,1&3&4 x2
  • 2,1,3,4 x4
  • 2,1,4,3 x4
  • 2,3,1,4 x3
  • 2,3,4,1 x12
  • 2,4,1&3 x3
  • 2,4,1,3 x15
  • 2,4,3,1 x13
  • 3,1&2&4 x3
  • 3,1,2,4 x7
  • 3,1,4,2 x1
  • 3,2,1,4 x10
  • 3,2,4,1 x3
  • 3,4,1,2 x6
  • 3,4,2,1 x7
  • 4,1&2&3 x3
  • 4,1,2&3 x1
  • 4,1,2,3 x13
  • 4,1,3,2 x6
  • 4,2,1&3 x2
  • 4,2,1,3 x20
  • 4,2,3,1 x16
  • 4,3,1,2 x6
  • 4,3,2,1 x9

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

Software version: 2015-May-6

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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