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VoteFair Ranking Results calculated at
www.VoteFair.org 2013-May-9 21:24
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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?) |
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VoteFair
representation
Ranking |
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First-most representative choice is: |
Keith Urban |
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Second-most representative choice is: |
Jimmy Iovine |
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Third-most representative choice is: |
Randy Jackson |
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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.) |
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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. |
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Data and Calculation Summary |
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Number of votes:
787 |
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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. |
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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
 |
81
 |
264
 |
X
=
Keith Urban
Y
=
Randy Jackson |
563
 |
82
 |
142
 |
X
=
Keith Urban
Y
=
Mariah Carey |
562
 |
79
 |
146
 |
X
=
Keith Urban
Y
=
Nicki Minaj |
538
 |
82
 |
167
 |
X
=
Jimmy Iovine
Y
=
Randy Jackson |
414
 |
97
 |
276
 |
X
=
Jimmy Iovine
Y
=
Mariah Carey |
444
 |
86
 |
257
 |
X
=
Jimmy Iovine
Y
=
Nicki Minaj |
459
 |
100
 |
228
 |
X
=
Randy Jackson
Y
=
Mariah Carey |
407
 |
96
 |
284
 |
X
=
Randy Jackson
Y
=
Nicki Minaj |
390
 |
104
 |
293
 |
X
=
Mariah Carey
Y
=
Nicki Minaj |
358
 |
93
 |
336
 |
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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 |
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Number of all possible valid sequences (without ties):
120 |
First sequence:
-
Jimmy Iovine
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Keith Urban
-
Nicki Minaj
-
Randy Jackson
-
Mariah Carey
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Last sequence:
-
Mariah Carey
-
Randy Jackson
-
Nicki Minaj
-
Keith Urban
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Jimmy Iovine
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©
Copyright 2013 Solutions Through Innovation at www.VoteFair.org |
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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
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1&2,3,4,5 x1
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1&3&4,2&5 x1
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1,2&3&4&5 x5
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1,2&3,5,4 x1
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1,2,3,4,5 x36
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1,2,3,5,4 x8
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1,2,4&5,3 x1
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1,2,4,3&5 x1
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1,2,4,3,5 x24
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1,2,4,5,3 x37
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1,2,5,3,4 x8
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1,2,5,4,3 x21
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1,3,2,4,5 x15
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1,3,2,5,4 x6
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1,3,4,2,5 x4
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1,3,4,5,2 x2
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1,3,5,2,4 x5
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1,3,5,4,2 x2
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1,4,2,3,5 x6
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1,4,2,5,3 x12
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1,4,3,2,5 x5
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1,4,5,2,3 x3
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1,5,2,3,4 x2
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1,5,2,4,3 x8
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1,5,3,2,4 x1
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1,5,4,2,3 x1
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1,5,4,3,2 x2
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2&3,1&4&5 x1
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2&4&5,1&3 x2
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2&5,1&3&4 x1
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2&5,1,4,3 x1
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2&5,3&4,1 x1
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2&5,4,1,3 x1
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2,1&3&4&5 x16
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2,1,3&4&5 x2
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2,1,3&4,5 x1
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2,1,3,4,5 x22
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2,1,3,5,4 x11
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2,1,4,3,5 x15
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2,1,4,5,3 x27
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2,1,5,3,4 x6
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2,1,5,4,3 x20
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2,3&4&5,1 x1
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2,3,1,4,5 x11
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2,3,1,5,4 x5
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2,3,4,1,5 x7
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2,3,4,5,1 x6
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2,3,5,1,4 x2
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2,3,5,4,1 x11
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[Remaining ballots not listed]
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©
Copyright 2013 Solutions Through Innovation at www.VoteFair.org
Software version:
2013-May-9
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