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VoteFair Ranking Results calculated at  www.VoteFair.org 2016-March-24  23:29

Poll title:

     American Idol poll, Season 15, Top 5    

Question (number 1) title:

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

The most preferred and most representative choice is:

    LaPorsha Renae

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular LaPorsha Renae Ranking score is 60 for LaPorsha Renae 53 voters marked LaPorsha Renae as their first choice
Second-most popular Trent Harmon Ranking score is 46 for Trent Harmon 45 voters marked Trent Harmon as their first choice
Third-most popular Dalton Rapattoni Ranking score is 27 for Dalton Rapattoni 42 voters marked Dalton Rapattoni as their first choice
Fourth-most popular MacKenzie Bourg Ranking score is 14 for MacKenzie Bourg 13 voters marked MacKenzie Bourg as their first choice
Fifth-most popular Sonika Vaid Ranking score is 0 for Sonika Vaid 28 voters marked Sonika Vaid as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

LaPorsha Renae

Second-most representative choice is:

Trent Harmon

Third-most representative choice is:

Dalton Rapattoni

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 LaPorsha Renae
Instant runoff LaPorsha Renae
(4 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.

(2 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality LaPorsha Renae

(2 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet LaPorsha Renae
Borda count LaPorsha Renae
(20 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
LaPorsha Renae 53 29 53 voters marked LaPorsha Renae as their first choice
Trent Harmon 45 25 45 voters marked Trent Harmon as their first choice
Dalton Rapattoni 42 23 42 voters marked Dalton Rapattoni as their first choice
Sonika Vaid 28 15 28 voters marked Sonika Vaid as their first choice
MacKenzie Bourg 13 7 13 voters marked MacKenzie Bourg as their first choice
(2 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: 183
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 = LaPorsha Renae
Y = Trent Harmon		 97
97 voters prefer LaPorsha Renae over Trent Harmon		 9
9 voters have an equal preference for LaPorsha Renae and Trent Harmon		 77
77 voters prefer Trent Harmon over LaPorsha Renae
X = LaPorsha Renae
Y = Dalton Rapattoni		 112
112 voters prefer LaPorsha Renae over Dalton Rapattoni		 6
6 voters have an equal preference for LaPorsha Renae and Dalton Rapattoni		 65
65 voters prefer Dalton Rapattoni over LaPorsha Renae
X = LaPorsha Renae
Y = MacKenzie Bourg		 114
114 voters prefer LaPorsha Renae over MacKenzie Bourg		 11
11 voters have an equal preference for LaPorsha Renae and MacKenzie Bourg		 58
58 voters prefer MacKenzie Bourg over LaPorsha Renae
X = LaPorsha Renae
Y = Sonika Vaid		 118
118 voters prefer LaPorsha Renae over Sonika Vaid		 10
10 voters have an equal preference for LaPorsha Renae and Sonika Vaid		 55
55 voters prefer Sonika Vaid over LaPorsha Renae
X = Trent Harmon
Y = Dalton Rapattoni		 107
107 voters prefer Trent Harmon over Dalton Rapattoni		 5
5 voters have an equal preference for Trent Harmon over Dalton Rapattoni		 71
71 voters prefer Dalton Rapattoni over Trent Harmon
X = Trent Harmon
Y = MacKenzie Bourg		 116
116 voters prefer Trent Harmon over MacKenzie Bourg		 8
8 voters have an equal preference for Trent Harmon over MacKenzie Bourg		 59
59 voters prefer MacKenzie Bourg over Trent Harmon
X = Trent Harmon
Y = Sonika Vaid		 116
116 voters prefer Trent Harmon over Sonika Vaid		 11
11 voters have an equal preference for Trent Harmon over Sonika Vaid		 56
56 voters prefer Sonika Vaid over Trent Harmon
X = Dalton Rapattoni
Y = MacKenzie Bourg		 95
95 voters prefer Dalton Rapattoni over MacKenzie Bourg		 9
9 voters have an equal preference for Dalton Rapattoni and MacKenzie Bourg		 79
79 voters prefer MacKenzie Bourg over Dalton Rapattoni
X = Dalton Rapattoni
Y = Sonika Vaid		 103
103 voters prefer Dalton Rapattoni over Sonika Vaid		 7
7 voters have an equal preference for Dalton Rapattoni over Sonika Vaid		 73
73 voters prefer Sonika Vaid over Dalton Rapattoni
X = MacKenzie Bourg
Y = Sonika Vaid		 104
104 voters prefer MacKenzie Bourg over Sonika Vaid		 13
13 voters have an equal preference for MacKenzie Bourg over Sonika Vaid		 66
66 voters prefer Sonika Vaid over MacKenzie Bourg
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,082
Number of all possible valid sequences (without ties): 120
First sequence:
  1. LaPorsha Renae
  2. Sonika Vaid
  3. Dalton Rapattoni
  4. MacKenzie Bourg
  5. Trent Harmon
Last sequence:
  1. Trent Harmon
  2. MacKenzie Bourg
  3. Dalton Rapattoni
  4. Sonika Vaid
  5. 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&2&3&4&5 x1
  • 1,2&3&4&5 x1
  • 1,2,4,3,5 x1
  • 1,2,4,5,3 x1
  • 1,2,5,3,4 x2
  • 1,2,5,4,3 x4
  • 1,3,2,4,5 x1
  • 1,3,2,5,4 x1
  • 1,3,4,2&5 x1
  • 1,3,5,2,4 x2
  • 1,3,5,4,2 x3
  • 1,4,2,5,3 x1
  • 1,4,5,3,2 x2
  • 1,5,2,3,4 x4
  • 1,5,2,4,3 x4
  • 1,5,3,2,4 x1
  • 1,5,3,4,2 x9
  • 1,5,4,2,3 x6
  • 1,5,4,3,2 x9
  • 2&4,1&3&5 x1
  • 2,1&3&4&5 x1
  • 2,1,3,4,5 x3
  • 2,1,3,5,4 x3
  • 2,1,4,5,3 x2
  • 2,1,5,3&4 x1
  • 2,1,5,3,4 x2
  • 2,1,5,4,3 x3
  • 2,3,1,4,5 x2
  • 2,3,1,5,4 x1
  • 2,3,4,1,5 x1
  • 2,3,4,5,1 x1
  • 2,3,5,1,4 x1
  • 2,4,1,5,3 x1
  • 2,4,3,5,1 x2
  • 2,5,1,4,3 x1
  • 2,5,4,1,3 x1
  • 2,5,4,3,1 x2
  • 3,1&2&4&5 x5
  • 3,1,2,4,5 x2
  • 3,1,4,2,5 x1
  • 3,1,4,5,2 x1
  • 3,1,5,2,4 x1
  • 3,1,5,4,2 x3
  • 3,2&5,1&4 x1
  • 3,2,4,1,5 x1
  • 3,2,4,5,1 x1
  • 3,4,1,2,5 x2
  • 3,4,1,5,2 x4
  • 3,4,2,1,5 x4
  • 3,4,2,5,1 x3
  • [Remaining ballots not listed]

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

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