Done viewing results, go back to VoteFair's American Idol page

 

  

VoteFair Ranking Results calculated at  www.VoteFair.org 2015-April-29  23:29

Poll title:

     American Idol poll, Season 14, Top 5    

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 70 for Clark Beckham 78 voters marked Clark Beckham as their first choice
Second-most popular Jax Cole Ranking score is 45 for Jax Cole 41 voters marked Jax Cole as their first choice
Third-most popular Nick Fradiani Ranking score is 29 for Nick Fradiani 26 voters marked Nick Fradiani as their first choice
Fourth-most popular Tyanna Jones Ranking score is 14 for Tyanna Jones 15 voters marked Tyanna Jones as their first choice
Fifth-most popular Rayvon Owen Ranking score is 0 for Rayvon Owen 15 voters marked Rayvon Owen 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:

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.
(The runoff steps did not involve a single choice being eliminated in the first round.)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Clark Beckham 78 45 78 voters marked Clark Beckham as their first choice
Jax Cole 41 23 41 voters marked Jax Cole as their first choice
Nick Fradiani 26 15 26 voters marked Nick Fradiani as their first choice
Tyanna Jones 15 9 15 voters marked Tyanna Jones as their first choice
Rayvon Owen 15 9 15 voters marked Rayvon Owen as their first choice
(3 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: 178
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		 111
111 voters prefer Clark Beckham over Jax Cole		 5
5 voters have an equal preference for Clark Beckham and Jax Cole		 62
62 voters prefer Jax Cole over Clark Beckham
X = Clark Beckham
Y = Nick Fradiani		 120
120 voters prefer Clark Beckham over Nick Fradiani		 7
7 voters have an equal preference for Clark Beckham and Nick Fradiani		 51
51 voters prefer Nick Fradiani over Clark Beckham
X = Clark Beckham
Y = Tyanna Jones		 130
130 voters prefer Clark Beckham over Tyanna Jones		 5
5 voters have an equal preference for Clark Beckham and Tyanna Jones		 43
43 voters prefer Tyanna Jones over Clark Beckham
X = Clark Beckham
Y = Rayvon Owen		 134
134 voters prefer Clark Beckham over Rayvon Owen		 8
8 voters have an equal preference for Clark Beckham and Rayvon Owen		 36
36 voters prefer Rayvon Owen over Clark Beckham
X = Jax Cole
Y = Nick Fradiani		 98
98 voters prefer Jax Cole over Nick Fradiani		 3
3 voters have an equal preference for Jax Cole over Nick Fradiani		 77
77 voters prefer Nick Fradiani over Jax Cole
X = Jax Cole
Y = Tyanna Jones		 99
99 voters prefer Jax Cole over Tyanna Jones		 9
9 voters have an equal preference for Jax Cole and Tyanna Jones		 70
70 voters prefer Tyanna Jones over Jax Cole
X = Jax Cole
Y = Rayvon Owen		 122
122 voters prefer Jax Cole over Rayvon Owen		 5
5 voters have an equal preference for Jax Cole over Rayvon Owen		 51
51 voters prefer Rayvon Owen over Jax Cole
X = Nick Fradiani
Y = Tyanna Jones		 93
93 voters prefer Nick Fradiani over Tyanna Jones		 2
2 voters have an equal preference for Nick Fradiani and Tyanna Jones		 83
83 voters prefer Tyanna Jones over Nick Fradiani
X = Nick Fradiani
Y = Rayvon Owen		 114
114 voters prefer Nick Fradiani over Rayvon Owen		 7
7 voters have an equal preference for Nick Fradiani and Rayvon Owen		 57
57 voters prefer Rayvon Owen over Nick Fradiani
X = Tyanna Jones
Y = Rayvon Owen		 101
101 voters prefer Tyanna Jones over Rayvon Owen		 5
5 voters have an equal preference for Tyanna Jones over Rayvon Owen		 72
72 voters prefer Rayvon Owen over Tyanna Jones
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,122
Number of all possible valid sequences (without ties): 120
First sequence:
  1. Clark Beckham
  2. Nick Fradiani
  3. Rayvon Owen
  4. Jax Cole
  5. Tyanna Jones
Last sequence:
  1. Tyanna Jones
  2. Jax Cole
  3. Rayvon Owen
  4. Nick Fradiani
  5. 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 x1
  • 1,2,3&4&5 x1
  • 1,2,3,5,4 x7
  • 1,2,4,3,5 x6
  • 1,2,4,5,3 x3
  • 1,2,5,3,4 x2
  • 1,2,5,4,3 x5
  • 1,3,2,4,5 x2
  • 1,3,2,5,4 x3
  • 1,3,4,2,5 x1
  • 1,3,4,5,2 x2
  • 1,3,5,2,4 x1
  • 1,4&5,2&3 x1
  • 1,4,2,3,5 x5
  • 1,4,2,5,3 x2
  • 1,4,3,2,5 x3
  • 1,4,3,5,2 x2
  • 1,4,5,2,3 x12
  • 1,4,5,3,2 x4
  • 1,5,2,3,4 x1
  • 1,5,2,4,3 x7
  • 1,5,3,2,4 x1
  • 1,5,3,4,2 x2
  • 1,5,4,2,3 x2
  • 1,5,4,3,2 x3
  • 2,1&3&4&5 x1
  • 2,1,3&4&5 x1
  • 2,1,3,4,5 x1
  • 2,1,3,5,4 x1
  • 2,1,4,3,5 x1
  • 2,1,4,5,3 x2
  • 2,1,5,3,4 x1
  • 2,1,5,4,3 x2
  • 2,3,1&4&5 x2
  • 2,3,1,5,4 x1
  • 2,3,5,4,1 x1
  • 2,4,1,3,5 x3
  • 2,4,1,5,3 x1
  • 2,4,5,1,3 x2
  • 2,4,5,3,1 x1
  • 2,5,1,3,4 x2
  • 2,5,3,1,4 x2
  • 2,5,4,1,3 x1
  • 3,1,2,4,5 x1
  • 3,1,2,5,4 x4
  • 3,1,4,2,5 x1
  • 3,1,5,2,4 x1
  • 3,1,5,4,2 x2
  • 3,2,1,4,5 x1
  • 3,4,1,5,2 x2
  • [Remaining ballots not listed]

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

Software version: 2015-Apr-29

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.

 Cover of Ending The Hidden Unfairness In U.S. Elections Cover of The Creative Problem Solver's Toolbox

 

Done viewing results, go back to VoteFair's American Idol page

Top of Page

© Copyright 2014 Solutions Through Innovation at www.VoteFair.org (Email address, non-machine-readable to reduce spam)