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VoteFair Ranking Results calculated at  www.VoteFair.org 2016-April-6  22:08

Poll title:

     American Idol poll, Season 15, Top 3    

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 68 for Trent Harmon 282 voters marked Trent Harmon as their first choice
Second-most popular LaPorsha Renae Ranking score is 30 for LaPorsha Renae 166 voters marked LaPorsha Renae as their first choice
Third-most popular Dalton Rapattoni Ranking score is 0 for Dalton Rapattoni 64 voters marked Dalton Rapattoni as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Trent Harmon

Second-most representative choice is:

LaPorsha Renae

Third-most representative choice is:

Dalton Rapattoni

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
Majority Trent Harmon

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

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

Details of plurality results

  
Choice Vote count Percentage
Trent Harmon 282 55 282 voters marked Trent Harmon as their first choice
LaPorsha Renae 166 32 166 voters marked LaPorsha Renae as their first choice
Dalton Rapattoni 64 13 64 voters marked Dalton Rapattoni 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: 515
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		 326
326 voters prefer Trent Harmon over LaPorsha Renae		 3
3 voters have an equal preference for Trent Harmon over LaPorsha Renae		 186
186 voters prefer LaPorsha Renae over Trent Harmon
X = Trent Harmon
Y = Dalton Rapattoni		 371
371 voters prefer Trent Harmon over Dalton Rapattoni		 55
55 voters have an equal preference for Trent Harmon over Dalton Rapattoni		 89
89 voters prefer Dalton Rapattoni over Trent Harmon
X = LaPorsha Renae
Y = Dalton Rapattoni		 310
310 voters prefer LaPorsha Renae over Dalton Rapattoni		 57
57 voters have an equal preference for LaPorsha Renae and Dalton Rapattoni		 148
148 voters prefer Dalton Rapattoni over LaPorsha Renae
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,007
Number of all possible valid sequences (without ties): 6
First sequence:
  1. LaPorsha Renae
  2. Dalton Rapattoni
  3. Trent Harmon
Last sequence:
  1. Trent Harmon
  2. Dalton Rapattoni
  3. 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 x1
  • 1&3,2 x2
  • 1,2&3 x54
  • 1,2,3 x25
  • 1,3,2 x87
  • 2,1,3 x20
  • 2,3,1 x44
  • 3,1&2 x56
  • 3,1,2 x142
  • 3,2,1 x84

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

Software version: 2016-Apr-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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