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VoteFair Ranking Results calculated at
www.VoteFair.org 2015-May-13 11:32
Poll
title:
American Idol poll, Season 14, Top 3
Question (number
1) title:
Who is your favorite and second-favorite singer? |
VoteFair
representation
Ranking |
|
First-most representative choice is: |
Jax Cole |
Second-most representative choice is: |
Clark Beckham |
Third-most representative choice is: |
Nick Fradiani |
|
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 |
Jax Cole |
Instant runoff |
Jax Cole
(2 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
:
Nick Fradiani) |
Majority |
None of the choices has won a majority (more than half) the votes.
(8 ballots ignored because they rank more than one choice as the most-preferred choice.) |
Plurality |
Clark Beckham
(8 ballots ignored because they rank more than one choice as the most-preferred choice.) |
Condorcet |
Jax Cole |
Borda count |
Jax Cole
(19 ballots ignored because they rank more than one choice at the same preference level.) |
|
|
Details of plurality results
|
Choice |
Vote count |
Percentage |
Clark Beckham |
105 |
40 |
 |
Jax Cole |
97 |
37 |
 |
Nick Fradiani |
60 |
23 |
 |
|
(8 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:
270 |
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
=
Jax Cole
Y
=
Clark Beckham |
133
 |
10
 |
127
 |
X
=
Jax Cole
Y
=
Nick Fradiani |
159
 |
7
 |
104
 |
X
=
Clark Beckham
Y
=
Nick Fradiani |
141
 |
6
 |
123
 |
|
|
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is:
433 |
Number of all possible valid sequences (without ties):
6 |
First sequence:
-
Clark Beckham
-
Nick Fradiani
-
Jax Cole
|
Last sequence:
-
Jax Cole
-
Nick Fradiani
-
Clark Beckham
|
|
©
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 x2
-
1&3,2 x6
-
1,2&3 x5
-
1,2,3 x44
-
1,3,2 x56
-
2,1&3 x2
-
2,1,3 x22
-
2,3,1 x36
-
3,1&2 x4
-
3,1,2 x30
-
3,2,1 x63
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©
Copyright 2009 Solutions Through Innovation at www.VoteFair.org
Software version:
2015-May-13
|