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VoteFair Ranking Results calculated at  www.VoteFair.org 2013-May-9  21:24

Poll title:

     American Idol, Season 12, Top 3    

Question (number 2) title:

     Who is your favorite, second-favorite, etc., judge? (Whose opinions do you like to hear?)    

The most preferred and most representative choice is:

    Keith Urban

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Keith Urban  Ranking score is 67 for Keith Urban 280 voters marked Keith Urban as their first choice
Second-most popular Jimmy Iovine  Ranking score is 42 for Jimmy Iovine 216 voters marked Jimmy Iovine as their first choice
Third-most popular Randy Jackson  Ranking score is 25 for Randy Jackson 53 voters marked Randy Jackson as their first choice
Fourth-most popular Mariah Carey  Ranking score is 11 for Mariah Carey 70 voters marked Mariah Carey as their first choice
Fifth-most popular Nicki Minaj  Ranking score is 0 for Nicki Minaj 93 voters marked Nicki Minaj as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Keith Urban

Second-most representative choice is:

Jimmy Iovine

Third-most representative choice is:

Randy Jackson

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 Keith Urban
Instant runoff Keith Urban
(15 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 : Randy Jackson)
Majority None of the choices has won a majority (more than half) the votes.

(75 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Keith Urban

(75 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Keith Urban
Borda count Keith Urban
(129 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Keith Urban 280 39 280 voters marked Keith Urban as their first choice
Jimmy Iovine 216 30 216 voters marked Jimmy Iovine as their first choice
Nicki Minaj 93 13 93 voters marked Nicki Minaj as their first choice
Mariah Carey 70 10 70 voters marked Mariah Carey as their first choice
Randy Jackson 53 7 53 voters marked Randy Jackson as their first choice
(75 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: 787
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 = Keith Urban
Y = Jimmy Iovine
442
442 voters prefer Keith Urban over Jimmy Iovine
81
81 voters have an equal preference for Keith Urban over Jimmy Iovine
264
264 voters prefer Jimmy Iovine over Keith Urban
X = Keith Urban
Y = Randy Jackson
563
563 voters prefer Keith Urban over Randy Jackson
82
82 voters have an equal preference for Keith Urban and Randy Jackson
142
142 voters prefer Randy Jackson over Keith Urban
X = Keith Urban
Y = Mariah Carey
562
562 voters prefer Keith Urban over Mariah Carey
79
79 voters have an equal preference for Keith Urban and Mariah Carey
146
146 voters prefer Mariah Carey over Keith Urban
X = Keith Urban
Y = Nicki Minaj
538
538 voters prefer Keith Urban over Nicki Minaj
82
82 voters have an equal preference for Keith Urban and Nicki Minaj
167
167 voters prefer Nicki Minaj over Keith Urban
X = Jimmy Iovine
Y = Randy Jackson
414
414 voters prefer Jimmy Iovine over Randy Jackson
97
97 voters have an equal preference for Jimmy Iovine and Randy Jackson
276
276 voters prefer Randy Jackson over Jimmy Iovine
X = Jimmy Iovine
Y = Mariah Carey
444
444 voters prefer Jimmy Iovine over Mariah Carey
86
86 voters have an equal preference for Jimmy Iovine and Mariah Carey
257
257 voters prefer Mariah Carey over Jimmy Iovine
X = Jimmy Iovine
Y = Nicki Minaj
459
459 voters prefer Jimmy Iovine over Nicki Minaj
100
100 voters have an equal preference for Jimmy Iovine and Nicki Minaj
228
228 voters prefer Nicki Minaj over Jimmy Iovine
X = Randy Jackson
Y = Mariah Carey
407
407 voters prefer Randy Jackson over Mariah Carey
96
96 voters have an equal preference for Randy Jackson and Mariah Carey
284
284 voters prefer Mariah Carey over Randy Jackson
X = Randy Jackson
Y = Nicki Minaj
390
390 voters prefer Randy Jackson over Nicki Minaj
104
104 voters have an equal preference for Randy Jackson over Nicki Minaj
293
293 voters prefer Nicki Minaj over Randy Jackson
X = Mariah Carey
Y = Nicki Minaj
358
358 voters prefer Mariah Carey over Nicki Minaj
93
93 voters have an equal preference for Mariah Carey over Nicki Minaj
336
336 voters prefer Nicki Minaj over Mariah Carey
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 4,577
Number of all possible valid sequences (without ties): 120
First sequence:
  1. Jimmy Iovine
  2. Keith Urban
  3. Nicki Minaj
  4. Randy Jackson
  5. Mariah Carey
Last sequence:
  1. Mariah Carey
  2. Randy Jackson
  3. Nicki Minaj
  4. Keith Urban
  5. Jimmy Iovine
© Copyright 2013 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 x64
  • 1&2,3,4,5 x1
  • 1&3&4,2&5 x1
  • 1,2&3&4&5 x5
  • 1,2&3,5,4 x1
  • 1,2,3,4,5 x36
  • 1,2,3,5,4 x8
  • 1,2,4&5,3 x1
  • 1,2,4,3&5 x1
  • 1,2,4,3,5 x24
  • 1,2,4,5,3 x37
  • 1,2,5,3,4 x8
  • 1,2,5,4,3 x21
  • 1,3,2,4,5 x15
  • 1,3,2,5,4 x6
  • 1,3,4,2,5 x4
  • 1,3,4,5,2 x2
  • 1,3,5,2,4 x5
  • 1,3,5,4,2 x2
  • 1,4,2,3,5 x6
  • 1,4,2,5,3 x12
  • 1,4,3,2,5 x5
  • 1,4,5,2,3 x3
  • 1,5,2,3,4 x2
  • 1,5,2,4,3 x8
  • 1,5,3,2,4 x1
  • 1,5,4,2,3 x1
  • 1,5,4,3,2 x2
  • 2&3,1&4&5 x1
  • 2&4&5,1&3 x2
  • 2&5,1&3&4 x1
  • 2&5,1,4,3 x1
  • 2&5,3&4,1 x1
  • 2&5,4,1,3 x1
  • 2,1&3&4&5 x16
  • 2,1,3&4&5 x2
  • 2,1,3&4,5 x1
  • 2,1,3,4,5 x22
  • 2,1,3,5,4 x11
  • 2,1,4,3,5 x15
  • 2,1,4,5,3 x27
  • 2,1,5,3,4 x6
  • 2,1,5,4,3 x20
  • 2,3&4&5,1 x1
  • 2,3,1,4,5 x11
  • 2,3,1,5,4 x5
  • 2,3,4,1,5 x7
  • 2,3,4,5,1 x6
  • 2,3,5,1,4 x2
  • 2,3,5,4,1 x11
  • [Remaining ballots not listed]

© Copyright 2013 Solutions Through Innovation at www.VoteFair.org

Software version: 2013-May-9

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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