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VoteFair Ranking Results calculated at  www.VoteFair.org 2007-May-2  22:59

Poll title:

     American Idol Season 6 Poll, Top 6, Second week    

Question (number 1) title:

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

The most preferred and most representative choice is:

    Melinda Doolittle

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Melinda Doolittle Ranking score is 65 for Melinda Doolittle 176 voters marked Melinda Doolittle as their first choice
Second-most popular Jordin Sparks Ranking score is 54 for Jordin Sparks 197 voters marked Jordin Sparks as their first choice
Third-most popular Blake Lewis Ranking score is 44 for Blake Lewis 196 voters marked Blake Lewis as their first choice
Fourth-most popular Phil Stacey Ranking score is 21 for Phil Stacey 48 voters marked Phil Stacey as their first choice
Fifth-most popular Lakisha Jones Ranking score is 11 for Lakisha Jones 41 voters marked Lakisha Jones as their first choice
Sixth-most popular Chris Richardson Ranking score is 0 for Chris Richardson 29 voters marked Chris Richardson as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Melinda Doolittle

Second-most representative choice is:

Jordin Sparks

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 Melinda Doolittle
Instant runoff Jordin Sparks
(21 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 : Chris Richardson)
Majority None of the choices has won a majority (more than half) the votes.

(10 ballots ignored because they rank more than one choice as the most-preferred choice. )
Plurality Jordin Sparks

(10 ballots ignored because they rank more than one choice as the most-preferred choice. )
Condorcet Melinda Doolittle
Borda count Melinda Doolittle
(97 ballots ignored because they rank more than one choice at the same preference level. )

Details of plurality results

  
Choice Vote count Percentage
Jordin Sparks 197 29 197 voters marked Jordin Sparks as their first choice
Blake Lewis 196 29 196 voters marked Blake Lewis as their first choice
Melinda Doolittle 176 26 176 voters marked Melinda Doolittle as their first choice
Phil Stacey 48 7 48 voters marked Phil Stacey as their first choice
Lakisha Jones 41 6 41 voters marked Lakisha Jones as their first choice
Chris Richardson 29 4 29 voters marked Chris Richardson as their first choice
(10 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: 697
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 = Melinda Doolittle
Y = Jordin Sparks		 326
326 voters prefer Melinda Doolittle over Jordin Sparks		 52
52 voters have an equal preference for Melinda Doolittle over Jordin Sparks		 319
319 voters prefer Jordin Sparks over Melinda Doolittle
X = Melinda Doolittle
Y = Blake Lewis		 364
364 voters prefer Melinda Doolittle over Blake Lewis		 26
26 voters have an equal preference for Melinda Doolittle and Blake Lewis		 307
307 voters prefer Blake Lewis over Melinda Doolittle
X = Melinda Doolittle
Y = Phil Stacey		 509
509 voters prefer Melinda Doolittle over Phil Stacey		 53
53 voters have an equal preference for Melinda Doolittle and Phil Stacey		 135
135 voters prefer Phil Stacey over Melinda Doolittle
X = Melinda Doolittle
Y = Lakisha Jones		 535
535 voters prefer Melinda Doolittle over Lakisha Jones		 56
56 voters have an equal preference for Melinda Doolittle over Lakisha Jones		 106
106 voters prefer Lakisha Jones over Melinda Doolittle
X = Melinda Doolittle
Y = Chris Richardson		 531
531 voters prefer Melinda Doolittle over Chris Richardson		 54
54 voters have an equal preference for Melinda Doolittle and Chris Richardson		 112
112 voters prefer Chris Richardson over Melinda Doolittle
X = Jordin Sparks
Y = Blake Lewis		 375
375 voters prefer Jordin Sparks over Blake Lewis		 27
27 voters have an equal preference for Jordin Sparks and Blake Lewis		 295
295 voters prefer Blake Lewis over Jordin Sparks
X = Jordin Sparks
Y = Phil Stacey		 492
492 voters prefer Jordin Sparks over Phil Stacey		 53
53 voters have an equal preference for Jordin Sparks and Phil Stacey		 152
152 voters prefer Phil Stacey over Jordin Sparks
X = Jordin Sparks
Y = Lakisha Jones		 494
494 voters prefer Jordin Sparks over Lakisha Jones		 52
52 voters have an equal preference for Jordin Sparks and Lakisha Jones		 151
151 voters prefer Lakisha Jones over Jordin Sparks
X = Jordin Sparks
Y = Chris Richardson		 537
537 voters prefer Jordin Sparks over Chris Richardson		 55
55 voters have an equal preference for Jordin Sparks and Chris Richardson		 105
105 voters prefer Chris Richardson over Jordin Sparks
X = Blake Lewis
Y = Phil Stacey		 490
490 voters prefer Blake Lewis over Phil Stacey		 36
36 voters have an equal preference for Blake Lewis and Phil Stacey		 171
171 voters prefer Phil Stacey over Blake Lewis
X = Blake Lewis
Y = Lakisha Jones		 479
479 voters prefer Blake Lewis over Lakisha Jones		 26
26 voters have an equal preference for Blake Lewis over Lakisha Jones		 192
192 voters prefer Lakisha Jones over Blake Lewis
X = Blake Lewis
Y = Chris Richardson		 563
563 voters prefer Blake Lewis over Chris Richardson		 35
35 voters have an equal preference for Blake Lewis and Chris Richardson		 99
99 voters prefer Chris Richardson over Blake Lewis
X = Phil Stacey
Y = Lakisha Jones		 326
326 voters prefer Phil Stacey over Lakisha Jones		 62
62 voters have an equal preference for Phil Stacey over Lakisha Jones		 309
309 voters prefer Lakisha Jones over Phil Stacey
X = Phil Stacey
Y = Chris Richardson		 396
396 voters prefer Phil Stacey over Chris Richardson		 68
68 voters have an equal preference for Phil Stacey over Chris Richardson		 233
233 voters prefer Chris Richardson over Phil Stacey
X = Lakisha Jones
Y = Chris Richardson		 393
393 voters prefer Lakisha Jones over Chris Richardson		 65
65 voters have an equal preference for Lakisha Jones and Chris Richardson		 239
239 voters prefer Chris Richardson over Lakisha Jones
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 6,810
Number of all possible valid sequences (without ties): 720
First sequence:
  1. Jordin Sparks
  2. Lakisha Jones
  3. Melinda Doolittle
  4. Blake Lewis
  5. Chris Richardson
  6. Phil Stacey
Last sequence:
  1. Phil Stacey
  2. Chris Richardson
  3. Blake Lewis
  4. Melinda Doolittle
  5. Lakisha Jones
  6. Jordin Sparks
© Copyright 2007 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&6 x4
  • 1&2&3,4&5&6 x1
  • 1&3&4,5,6,2 x1
  • 1&4,2,5,3&6 x1
  • 1,2&3&4&5&6 x5
  • 1,2&3,4&6,5 x1
  • 1,2,3,4,5,6 x3
  • 1,2,3,4,6,5 x2
  • 1,2,3,5,4,6 x1
  • 1,2,4,3,5,6 x2
  • 1,2,4,3,6,5 x1
  • 1,2,4,5,3,6 x1
  • 1,2,5,3,4,6 x1
  • 1,2,6,5,4,3 x1
  • 1,3&4&5&6,2 x1
  • 1,3,2&4&5&6 x3
  • 1,3,2,4&5&6 x1
  • 1,3,2,4,5,6 x4
  • 1,3,2,4,6,5 x4
  • 1,3,2,6,4,5 x8
  • 1,3,2,6,5,4 x3
  • 1,3,4,2,5,6 x7
  • 1,3,4,2,6,5 x13
  • 1,3,4,5,2&6 x1
  • 1,3,4,5,2,6 x5
  • 1,3,4,5,6,2 x3
  • 1,3,4,6,2,5 x7
  • 1,3,4,6,5,2 x11
  • 1,3,5,6,2,4 x2
  • 1,3,5,6,4,2 x2
  • 1,3,6,2,4,5 x7
  • 1,3,6,2,5,4 x2
  • 1,3,6,4,2,5 x7
  • 1,3,6,4,5,2 x2
  • 1,3,6,5,2,4 x2
  • 1,3,6,5,4,2 x1
  • 1,4&6,5,3,2 x1
  • 1,4,2,3,6,5 x1
  • 1,4,2,5,6,3 x1
  • 1,4,2,6,5,3 x1
  • 1,4,3,2&5&6 x1
  • 1,4,3,2,5,6 x4
  • 1,4,3,2,6,5 x10
  • 1,4,3,5,2,6 x3
  • 1,4,3,5,6,2 x3
  • 1,4,3,6,2,5 x6
  • 1,4,3,6,5,2 x6
  • 1,4,5,2&6,3 x1
  • 1,4,5,2,6,3 x2
  • 1,4,5,3,6,2 x1
  • [Remaining ballots not listed]

© Copyright 2007 Solutions Through Innovation at www.VoteFair.org

Software version: 2007-Apr-23

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