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VoteFair Ranking Results calculated at  www.VoteFair.org 2007-February-23  0:33

Poll title:

     American Idol Season 6 Poll, Top 12 Females    

Question (number 1) title:

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

The most preferred and most representative choice is:

    Lakisha Jones

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Lakisha Jones Ranking score is 64 for Lakisha Jones
Second-most popular Melinda Doolittle Ranking score is 48 for Melinda Doolittle
Third-most popular Sabrina Sloan Ranking score is 43 for Sabrina Sloan
Fourth-most popular
is a tie among these choices		 Gina Glocksen Ranking score is 33 for Gina Glocksen
Jordin Sparks Ranking score is 32 for Jordin Sparks
Fifth-most popular Stephanie Edwards Ranking score is 26 for Stephanie Edwards
Sixth-most popular
is a tie among these choices		 Haley Scarnato Ranking score is 13 for Haley Scarnato
Leslie Hunt Ranking score is 13 for Leslie Hunt
Nicole Tranquillo Ranking score is 13 for Nicole Tranquillo
Seventh-most popular Alaina Alexander Ranking score is 8 for Alaina Alexander
Eighth-most popular Antonella Barba Ranking score is 4 for Antonella Barba
Ninth-most popular Amy Krebs Ranking score is 0 for Amy Krebs

VoteFair representation Ranking

  
First-most representative choice is: Lakisha Jones
Second-most representative choice is: Gina Glocksen

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 Lakisha Jones
Instant runoff A winner cannot be identified because, in one of the rounds of voting, there is a tie among the choices with the fewest votes
(The runoff steps did not involve a single choice being eliminated in the first round.)
Majority None of the choices has won a majority ( more than half ) the votes.

(1 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Lakisha Jones

(1 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Lakisha Jones
Borda count Lakisha Jones

(9 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Lakisha Jones 8 33
Gina Glocksen 4 17
Sabrina Sloan 3 13
Nicole Tranquillo 2 8
Antonella Barba 2 8
Stephanie Edwards 1 4
Melinda Doolittle 1 4
Leslie Hunt 1 4
Jordin Sparks 1 4
Haley Scarnato 1 4
Amy Krebs 0 0
Alaina Alexander 0 0
(1 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: 25
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 = Lakisha Jones
Y = Melinda Doolittle		 14
14 voters prefer Lakisha Jones over Melinda Doolittle		 5
5 voters have an equal preference for Lakisha Jones and Melinda Doolittle		 6
6 voters prefer Melinda Doolittle over Lakisha Jones
X = Lakisha Jones
Y = Sabrina Sloan		 16
16 voters prefer Lakisha Jones over Sabrina Sloan		 4
4 voters have an equal preference for Lakisha Jones and Sabrina Sloan		 5
5 voters prefer Sabrina Sloan over Lakisha Jones
X = Lakisha Jones
Y = Gina Glocksen		 14
14 voters prefer Lakisha Jones over Gina Glocksen		 4
4 voters have an equal preference for Lakisha Jones and Gina Glocksen		 7
7 voters prefer Gina Glocksen over Lakisha Jones
X = Lakisha Jones
Y = Jordin Sparks		 16
16 voters prefer Lakisha Jones over Jordin Sparks		 4
4 voters have an equal preference for Lakisha Jones and Jordin Sparks		 5
5 voters prefer Jordin Sparks over Lakisha Jones
X = Lakisha Jones
Y = Stephanie Edwards		 16
16 voters prefer Lakisha Jones over Stephanie Edwards		 5
5 voters have an equal preference for Lakisha Jones and Stephanie Edwards		 4
4 voters prefer Stephanie Edwards over Lakisha Jones
X = Lakisha Jones
Y = Haley Scarnato		 17
17 voters prefer Lakisha Jones over Haley Scarnato		 4
4 voters have an equal preference for Lakisha Jones and Haley Scarnato		 4
4 voters prefer Haley Scarnato over Lakisha Jones
X = Lakisha Jones
Y = Leslie Hunt		 17
17 voters prefer Lakisha Jones over Leslie Hunt		 4
4 voters have an equal preference for Lakisha Jones and Leslie Hunt		 4
4 voters prefer Leslie Hunt over Lakisha Jones
X = Lakisha Jones
Y = Nicole Tranquillo		 16
16 voters prefer Lakisha Jones over Nicole Tranquillo		 4
4 voters have an equal preference for Lakisha Jones and Nicole Tranquillo		 5
5 voters prefer Nicole Tranquillo over Lakisha Jones
X = Lakisha Jones
Y = Alaina Alexander		 17
17 voters prefer Lakisha Jones over Alaina Alexander		 5
5 voters have an equal preference for Lakisha Jones and Alaina Alexander		 3
3 voters prefer Alaina Alexander over Lakisha Jones
X = Lakisha Jones
Y = Antonella Barba		 17
17 voters prefer Lakisha Jones over Antonella Barba		 4
4 voters have an equal preference for Lakisha Jones and Antonella Barba		 4
4 voters prefer Antonella Barba over Lakisha Jones
X = Lakisha Jones
Y = Amy Krebs		 17
17 voters prefer Lakisha Jones over Amy Krebs		 4
4 voters have an equal preference for Lakisha Jones and Amy Krebs		 4
4 voters prefer Amy Krebs over Lakisha Jones
X = Melinda Doolittle
Y = Sabrina Sloan		 10
10 voters prefer Melinda Doolittle over Sabrina Sloan		 7
7 voters have an equal preference for Melinda Doolittle and Sabrina Sloan		 8
8 voters prefer Sabrina Sloan over Melinda Doolittle
X = Melinda Doolittle
Y = Gina Glocksen		 9
9 voters prefer Melinda Doolittle over Gina Glocksen		 7
7 voters have an equal preference for Melinda Doolittle and Gina Glocksen		 9
9 voters prefer Gina Glocksen over Melinda Doolittle
X = Melinda Doolittle
Y = Jordin Sparks		 12
12 voters prefer Melinda Doolittle over Jordin Sparks		 7
7 voters have an equal preference for Melinda Doolittle and Jordin Sparks		 6
6 voters prefer Jordin Sparks over Melinda Doolittle
X = Melinda Doolittle
Y = Stephanie Edwards		 13
13 voters prefer Melinda Doolittle over Stephanie Edwards		 7
7 voters have an equal preference for Melinda Doolittle and Stephanie Edwards		 5
5 voters prefer Stephanie Edwards over Melinda Doolittle
X = Melinda Doolittle
Y = Haley Scarnato		 15
15 voters prefer Melinda Doolittle over Haley Scarnato		 7
7 voters have an equal preference for Melinda Doolittle and Haley Scarnato		 3
3 voters prefer Haley Scarnato over Melinda Doolittle
X = Melinda Doolittle
Y = Leslie Hunt		 14
14 voters prefer Melinda Doolittle over Leslie Hunt		 7
7 voters have an equal preference for Melinda Doolittle and Leslie Hunt		 4
4 voters prefer Leslie Hunt over Melinda Doolittle
X = Melinda Doolittle
Y = Nicole Tranquillo		 14
14 voters prefer Melinda Doolittle over Nicole Tranquillo		 7
7 voters have an equal preference for Melinda Doolittle and Nicole Tranquillo		 4
4 voters prefer Nicole Tranquillo over Melinda Doolittle
X = Melinda Doolittle
Y = Alaina Alexander		 15
15 voters prefer Melinda Doolittle over Alaina Alexander		 8
8 voters have an equal preference for Melinda Doolittle and Alaina Alexander		 2
2 voters prefer Alaina Alexander over Melinda Doolittle
X = Melinda Doolittle
Y = Antonella Barba		 15
15 voters prefer Melinda Doolittle over Antonella Barba		 7
7 voters have an equal preference for Melinda Doolittle and Antonella Barba		 3
3 voters prefer Antonella Barba over Melinda Doolittle
X = Melinda Doolittle
Y = Amy Krebs		 14
14 voters prefer Melinda Doolittle over Amy Krebs		 7
7 voters have an equal preference for Melinda Doolittle and Amy Krebs		 4
4 voters prefer Amy Krebs over Melinda Doolittle
X = Sabrina Sloan
Y = Gina Glocksen		 10
10 voters prefer Sabrina Sloan over Gina Glocksen		 6
6 voters have an equal preference for Sabrina Sloan and Gina Glocksen		 9
9 voters prefer Gina Glocksen over Sabrina Sloan
X = Sabrina Sloan
Y = Jordin Sparks		 12
12 voters prefer Sabrina Sloan over Jordin Sparks		 7
7 voters have an equal preference for Sabrina Sloan and Jordin Sparks		 6
6 voters prefer Jordin Sparks over Sabrina Sloan
X = Sabrina Sloan
Y = Stephanie Edwards		 12
12 voters prefer Sabrina Sloan over Stephanie Edwards		 7
7 voters have an equal preference for Sabrina Sloan and Stephanie Edwards		 6
6 voters prefer Stephanie Edwards over Sabrina Sloan
X = Sabrina Sloan
Y = Haley Scarnato		 14
14 voters prefer Sabrina Sloan over Haley Scarnato		 7
7 voters have an equal preference for Sabrina Sloan and Haley Scarnato		 4
4 voters prefer Haley Scarnato over Sabrina Sloan
X = Sabrina Sloan
Y = Leslie Hunt		 14
14 voters prefer Sabrina Sloan over Leslie Hunt		 7
7 voters have an equal preference for Sabrina Sloan and Leslie Hunt		 4
4 voters prefer Leslie Hunt over Sabrina Sloan
X = Sabrina Sloan
Y = Nicole Tranquillo		 12
12 voters prefer Sabrina Sloan over Nicole Tranquillo		 7
7 voters have an equal preference for Sabrina Sloan and Nicole Tranquillo		 6
6 voters prefer Nicole Tranquillo over Sabrina Sloan
X = Sabrina Sloan
Y = Alaina Alexander		 15
15 voters prefer Sabrina Sloan over Alaina Alexander		 8
8 voters have an equal preference for Sabrina Sloan and Alaina Alexander		 2
2 voters prefer Alaina Alexander over Sabrina Sloan
X = Sabrina Sloan
Y = Antonella Barba		 15
15 voters prefer Sabrina Sloan over Antonella Barba		 7
7 voters have an equal preference for Sabrina Sloan and Antonella Barba		 3
3 voters prefer Antonella Barba over Sabrina Sloan
X = Sabrina Sloan
Y = Amy Krebs		 15
15 voters prefer Sabrina Sloan over Amy Krebs		 7
7 voters have an equal preference for Sabrina Sloan and Amy Krebs		 3
3 voters prefer Amy Krebs over Sabrina Sloan
X = Gina Glocksen
Y = Jordin Sparks		 9
9 voters prefer Gina Glocksen over Jordin Sparks		 7
7 voters have an equal preference for Gina Glocksen and Jordin Sparks		 9
9 voters prefer Jordin Sparks over Gina Glocksen
X = Gina Glocksen
Y = Stephanie Edwards		 10
10 voters prefer Gina Glocksen over Stephanie Edwards		 6
6 voters have an equal preference for Gina Glocksen and Stephanie Edwards		 9
9 voters prefer Stephanie Edwards over Gina Glocksen
X = Gina Glocksen
Y = Haley Scarnato		 13
13 voters prefer Gina Glocksen over Haley Scarnato		 6
6 voters have an equal preference for Gina Glocksen and Haley Scarnato		 6
6 voters prefer Haley Scarnato over Gina Glocksen
X = Gina Glocksen
Y = Leslie Hunt		 14
14 voters prefer Gina Glocksen over Leslie Hunt		 6
6 voters have an equal preference for Gina Glocksen and Leslie Hunt		 5
5 voters prefer Leslie Hunt over Gina Glocksen
X = Gina Glocksen
Y = Nicole Tranquillo		 13
13 voters prefer Gina Glocksen over Nicole Tranquillo		 6
6 voters have an equal preference for Gina Glocksen and Nicole Tranquillo		 6
6 voters prefer Nicole Tranquillo over Gina Glocksen
X = Gina Glocksen
Y = Alaina Alexander		 13
13 voters prefer Gina Glocksen over Alaina Alexander		 7
7 voters have an equal preference for Gina Glocksen and Alaina Alexander		 5
5 voters prefer Alaina Alexander over Gina Glocksen
X = Gina Glocksen
Y = Antonella Barba		 13
13 voters prefer Gina Glocksen over Antonella Barba		 7
7 voters have an equal preference for Gina Glocksen and Antonella Barba		 5
5 voters prefer Antonella Barba over Gina Glocksen
X = Gina Glocksen
Y = Amy Krebs		 15
15 voters prefer Gina Glocksen over Amy Krebs		 6
6 voters have an equal preference for Gina Glocksen and Amy Krebs		 4
4 voters prefer Amy Krebs over Gina Glocksen
X = Jordin Sparks
Y = Stephanie Edwards		 9
9 voters prefer Jordin Sparks over Stephanie Edwards		 7
7 voters have an equal preference for Jordin Sparks and Stephanie Edwards		 9
9 voters prefer Stephanie Edwards over Jordin Sparks
X = Jordin Sparks
Y = Haley Scarnato		 12
12 voters prefer Jordin Sparks over Haley Scarnato		 7
7 voters have an equal preference for Jordin Sparks and Haley Scarnato		 6
6 voters prefer Haley Scarnato over Jordin Sparks
X = Jordin Sparks
Y = Leslie Hunt		 13
13 voters prefer Jordin Sparks over Leslie Hunt		 7
7 voters have an equal preference for Jordin Sparks and Leslie Hunt		 5
5 voters prefer Leslie Hunt over Jordin Sparks
X = Jordin Sparks
Y = Nicole Tranquillo		 13
13 voters prefer Jordin Sparks over Nicole Tranquillo		 7
7 voters have an equal preference for Jordin Sparks and Nicole Tranquillo		 5
5 voters prefer Nicole Tranquillo over Jordin Sparks
X = Jordin Sparks
Y = Alaina Alexander		 13
13 voters prefer Jordin Sparks over Alaina Alexander		 8
8 voters have an equal preference for Jordin Sparks and Alaina Alexander		 4
4 voters prefer Alaina Alexander over Jordin Sparks
X = Jordin Sparks
Y = Antonella Barba		 13
13 voters prefer Jordin Sparks over Antonella Barba		 8
8 voters have an equal preference for Jordin Sparks and Antonella Barba		 4
4 voters prefer Antonella Barba over Jordin Sparks
X = Jordin Sparks
Y = Amy Krebs		 15
15 voters prefer Jordin Sparks over Amy Krebs		 7
7 voters have an equal preference for Jordin Sparks and Amy Krebs		 3
3 voters prefer Amy Krebs over Jordin Sparks
X = Stephanie Edwards
Y = Haley Scarnato		 11
11 voter prefers Stephanie Edwards over Haley Scarnato		 7
7 voters have an equal preference for Stephanie Edwards and Haley Scarnato		 7
7 voters prefer Haley Scarnato over Stephanie Edwards
X = Stephanie Edwards
Y = Leslie Hunt		 9
9 voters prefer Stephanie Edwards over Leslie Hunt		 7
7 voters have an equal preference for Stephanie Edwards and Leslie Hunt		 9
9 voters prefer Leslie Hunt over Stephanie Edwards
X = Stephanie Edwards
Y = Nicole Tranquillo		 11
11 voter prefers Stephanie Edwards over Nicole Tranquillo		 7
7 voters have an equal preference for Stephanie Edwards and Nicole Tranquillo		 7
7 voters prefer Nicole Tranquillo over Stephanie Edwards
X = Stephanie Edwards
Y = Alaina Alexander		 13
13 voters prefer Stephanie Edwards over Alaina Alexander		 8
8 voters have an equal preference for Stephanie Edwards and Alaina Alexander		 4
4 voters prefer Alaina Alexander over Stephanie Edwards
X = Stephanie Edwards
Y = Antonella Barba		 14
14 voters prefer Stephanie Edwards over Antonella Barba		 7
7 voters have an equal preference for Stephanie Edwards and Antonella Barba		 4
4 voters prefer Antonella Barba over Stephanie Edwards
X = Stephanie Edwards
Y = Amy Krebs		 14
14 voters prefer Stephanie Edwards over Amy Krebs		 7
7 voters have an equal preference for Stephanie Edwards and Amy Krebs		 4
4 voters prefer Amy Krebs over Stephanie Edwards
X = Haley Scarnato
Y = Leslie Hunt		 9
9 voters prefer Haley Scarnato over Leslie Hunt		 7
7 voters have an equal preference for Haley Scarnato and Leslie Hunt		 9
9 voters prefer Leslie Hunt over Haley Scarnato
X = Haley Scarnato
Y = Nicole Tranquillo		 10
10 voters prefer Haley Scarnato over Nicole Tranquillo		 8
8 voters have an equal preference for Haley Scarnato and Nicole Tranquillo		 7
7 voters prefer Nicole Tranquillo over Haley Scarnato
X = Haley Scarnato
Y = Alaina Alexander		 11
11 voter prefers Haley Scarnato over Alaina Alexander		 8
8 voters have an equal preference for Haley Scarnato and Alaina Alexander		 6
6 voters prefer Alaina Alexander over Haley Scarnato
X = Haley Scarnato
Y = Antonella Barba		 14
14 voters prefer Haley Scarnato over Antonella Barba		 7
7 voters have an equal preference for Haley Scarnato and Antonella Barba		 4
4 voters prefer Antonella Barba over Haley Scarnato
X = Haley Scarnato
Y = Amy Krebs		 12
12 voters prefer Haley Scarnato over Amy Krebs		 8
8 voters have an equal preference for Haley Scarnato and Amy Krebs		 5
5 voters prefer Amy Krebs over Haley Scarnato
X = Leslie Hunt
Y = Nicole Tranquillo		 9
9 voters prefer Leslie Hunt over Nicole Tranquillo		 7
7 voters have an equal preference for Leslie Hunt and Nicole Tranquillo		 9
9 voters prefer Nicole Tranquillo over Leslie Hunt
X = Leslie Hunt
Y = Alaina Alexander		 10
10 voters prefer Leslie Hunt over Alaina Alexander		 8
8 voters have an equal preference for Leslie Hunt and Alaina Alexander		 7
7 voters prefer Alaina Alexander over Leslie Hunt
X = Leslie Hunt
Y = Antonella Barba		 13
13 voters prefer Leslie Hunt over Antonella Barba		 7
7 voters have an equal preference for Leslie Hunt and Antonella Barba		 5
5 voters prefer Antonella Barba over Leslie Hunt
X = Leslie Hunt
Y = Amy Krebs		 12
12 voters prefer Leslie Hunt over Amy Krebs		 7
7 voters have an equal preference for Leslie Hunt and Amy Krebs		 6
6 voters prefer Amy Krebs over Leslie Hunt
X = Nicole Tranquillo
Y = Alaina Alexander		 11
11 voter prefers Nicole Tranquillo over Alaina Alexander		 8
8 voters have an equal preference for Nicole Tranquillo and Alaina Alexander		 6
6 voters prefer Alaina Alexander over Nicole Tranquillo
X = Nicole Tranquillo
Y = Antonella Barba		 12
12 voters prefer Nicole Tranquillo over Antonella Barba		 7
7 voters have an equal preference for Nicole Tranquillo and Antonella Barba		 6
6 voters prefer Antonella Barba over Nicole Tranquillo
X = Nicole Tranquillo
Y = Amy Krebs		 13
13 voters prefer Nicole Tranquillo over Amy Krebs		 8
8 voters have an equal preference for Nicole Tranquillo and Amy Krebs		 4
4 voters prefer Amy Krebs over Nicole Tranquillo
X = Alaina Alexander
Y = Antonella Barba		 11
11 voter prefers Alaina Alexander over Antonella Barba		 8
8 voters have an equal preference for Alaina Alexander and Antonella Barba		 6
6 voters prefer Antonella Barba over Alaina Alexander
X = Alaina Alexander
Y = Amy Krebs		 12
12 voters prefer Alaina Alexander over Amy Krebs		 8
8 voters have an equal preference for Alaina Alexander and Amy Krebs		 5
5 voters prefer Amy Krebs over Alaina Alexander
X = Antonella Barba
Y = Amy Krebs		 10
10 voters prefer Antonella Barba over Amy Krebs		 7
7 voters have an equal preference for Antonella Barba and Amy Krebs		 8
8 voters prefer Amy Krebs over Antonella Barba
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 853
Number of all possible valid sequences (without ties): 479,001,600
First sequence:
  1. Alaina Alexander
  2. Amy Krebs
  3. Antonella Barba
  4. Gina Glocksen
  5. Haley Scarnato
  6. Jordin Sparks
  7. Lakisha Jones
  8. Leslie Hunt
  9. Melinda Doolittle
  10. Nicole Tranquillo
  11. Sabrina Sloan
  12. Stephanie Edwards
Last sequence:
  1. Stephanie Edwards
  2. Sabrina Sloan
  3. Nicole Tranquillo
  4. Melinda Doolittle
  5. Leslie Hunt
  6. Lakisha Jones
  7. Jordin Sparks
  8. Haley Scarnato
  9. Gina Glocksen
  10. Antonella Barba
  11. Amy Krebs
  12. Alaina Alexander
© Copyright 2006 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&7&8&9&10&11&12 x1
  • 10,11,12,1,3,4,5,6,7,8,9,2 x1
  • 10,12,11,1,2,9,8,7,6,5,4,3 x1
  • 11,1&2&3&4&5&6&7&8&9&10&12 x1
  • 11,7,9,12,6,4,10,1,8,2,5,3 x1
  • 11,9,6,2,8,5,4,10,12,3,1,7 x1
  • 12,9,7,4,11,6,8,10,5,3,1,2 x1
  • 3,6,4,1&2&5&7&8&9&10&11&12 x1
  • 3,7,4,11,6,9,1,12,10,5,8,2 x1
  • 4,2,5,6,10,9,7,11,8,1,12,3 x1
  • 4,7,9,1&2&3&5&6&8&10&11&12 x1
  • 4,7,9,11,8,12,5,6,1,3,10,2 x1
  • 4,8,7,9,12,11,10,6,5,3,2,1 x1
  • 5,10,2,1&3&4&6&7&8&9&11&12 x1
  • 6,9,7,10,5,11,8,3,1,12,4,2 x1
  • 7,1&2&3&4&5&6&8&9&10&11&12 x2
  • 7,11,9,12,1,5,6,10,4,3,2,8 x1
  • 7,12,1&2&3&4&5&6&8&9&10&11 x1
  • 7,12,11,9,6,4,5,10,1,3,8,2 x1
  • 7,4,6,2,8,9,5,12,1,3,10,11 x1
  • 7,4,9,6,11,12,5,8,1,2,3,10 x1
  • 7,9,1,8,11,3,5,10,6,12,2,4 x1
  • 8,1&2&3&4&5&6&7&9&10&11&12 x1
  • 9,7,6,11,4,5,8,12,10,1,2,3 x1

© Copyright 2006 Solutions Through Innovation at www.VoteFair.org

Software version: 2006-June-30

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. Cover of Ending The Hidden Unfairness In U.S. Elections Cover of The Creative Problem Solver's Toolbox

 

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