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VoteFair Ranking Results calculated at  www.VoteFair.org 2016-April-1  11:06

Poll title:

     American Idol poll, Season 15, Top 4    

Question (number 1) title:

     Who is your favorite, second-favorite, etc. singer?    

The most preferred and most representative choice is:

    Trent Harmon

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Trent Harmon Ranking score is 63 for Trent Harmon 70 voters marked Trent Harmon as their first choice
Second-most popular LaPorsha Renae Ranking score is 39 for LaPorsha Renae 54 voters marked LaPorsha Renae as their first choice
Third-most popular Dalton Rapattoni Ranking score is 19 for Dalton Rapattoni 59 voters marked Dalton Rapattoni as their first choice
Fourth-most popular MacKenzie Bourg Ranking score is 0 for MacKenzie Bourg 17 voters marked MacKenzie Bourg as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Trent Harmon

Second-most representative choice is:

Dalton Rapattoni

Third-most representative choice is:

LaPorsha Renae

Fourth-most representative choice is:

MacKenzie Bourg

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 Trent Harmon
Instant runoff Trent Harmon
(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 : MacKenzie Bourg)
Majority None of the choices has won a majority (more than half) the votes.

(1 ballot ignored because it ranks more than one choice as the most-preferred choice.)
Plurality Trent Harmon

(1 ballot ignored because it ranks more than one choice as the most-preferred choice.)
Condorcet Trent Harmon
Borda count Trent Harmon
(17 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Trent Harmon 70 35 70 voters marked Trent Harmon as their first choice
Dalton Rapattoni 59 30 59 voters marked Dalton Rapattoni as their first choice
LaPorsha Renae 54 27 54 voters marked LaPorsha Renae as their first choice
MacKenzie Bourg 17 9 17 voters marked MacKenzie Bourg as their first choice
(1 ballot ignored in plurality counting because it ranks 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: 201
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 = Trent Harmon
Y = LaPorsha Renae		 114
114 voters prefer Trent Harmon over LaPorsha Renae		 5
5 voters have an equal preference for Trent Harmon over LaPorsha Renae		 82
82 voters prefer LaPorsha Renae over Trent Harmon
X = Trent Harmon
Y = Dalton Rapattoni		 121
121 voters prefer Trent Harmon over Dalton Rapattoni		 5
5 voters have an equal preference for Trent Harmon over Dalton Rapattoni		 75
75 voters prefer Dalton Rapattoni over Trent Harmon
X = Trent Harmon
Y = MacKenzie Bourg		 145
145 voters prefer Trent Harmon over MacKenzie Bourg		 1
1 voter has an equal preference for Trent Harmon over MacKenzie Bourg		 55
55 voters prefer MacKenzie Bourg over Trent Harmon
X = LaPorsha Renae
Y = Dalton Rapattoni		 108
108 voters prefer LaPorsha Renae over Dalton Rapattoni		 7
7 voters have an equal preference for LaPorsha Renae and Dalton Rapattoni		 86
86 voters prefer Dalton Rapattoni over LaPorsha Renae
X = LaPorsha Renae
Y = MacKenzie Bourg		 125
125 voters prefer LaPorsha Renae over MacKenzie Bourg		 4
4 voters have an equal preference for LaPorsha Renae and MacKenzie Bourg		 72
72 voters prefer MacKenzie Bourg over LaPorsha Renae
X = Dalton Rapattoni
Y = MacKenzie Bourg		 116
116 voters prefer Dalton Rapattoni over MacKenzie Bourg		 8
8 voters have an equal preference for Dalton Rapattoni and MacKenzie Bourg		 77
77 voters prefer MacKenzie Bourg over Dalton Rapattoni
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 729
Number of all possible valid sequences (without ties): 24
First sequence:
  1. LaPorsha Renae
  2. Dalton Rapattoni
  3. MacKenzie Bourg
  4. Trent Harmon
Last sequence:
  1. Trent Harmon
  2. MacKenzie Bourg
  3. Dalton Rapattoni
  4. LaPorsha Renae
© 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&4,2&3 x1
  • 1,2&3,4 x1
  • 1,2&4,3 x1
  • 1,2,3,4 x3
  • 1,2,4,3 x6
  • 1,3,4,2 x2
  • 1,4,2&3 x2
  • 1,4,2,3 x18
  • 1,4,3,2 x21
  • 2,1&3&4 x1
  • 2,1,3,4 x6
  • 2,1,4,3 x7
  • 2,3,1,4 x9
  • 2,3,4,1 x17
  • 2,4,1,3 x10
  • 2,4,3,1 x9
  • 3,1&2&4 x3
  • 3,1,2,4 x1
  • 3,1,4,2 x2
  • 3,2&4,1 x1
  • 3,2,1,4 x3
  • 3,2,4,1 x2
  • 3,4,1,2 x3
  • 3,4,2,1 x2
  • 4,1&2&3 x2
  • 4,1,2&3 x1
  • 4,1,2,3 x18
  • 4,1,3,2 x21
  • 4,2&3,1 x1
  • 4,2,1&3 x1
  • 4,2,1,3 x7
  • 4,2,3,1 x3
  • 4,3,1&2 x2
  • 4,3,1,2 x7
  • 4,3,2,1 x7

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

Software version: 2016-Apr-1

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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