|
VoteFair Ranking Results calculated at
www.VoteFair.org 2007-May-16 19:50
Poll
title:
American Idol Season 6 Poll, Top 3
Question (number
1) title:
Who is your favorite, second-favorite, etc., American Idol singer? |
VoteFair
representation
Ranking |
|
First-most representative choice is: |
Melinda Doolittle |
Second-most representative choice is: |
Jordin Sparks |
Third-most representative choice is: |
Blake Lewis |
|
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 |
Melinda Doolittle
(17 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
:
Blake Lewis) |
Majority |
None of the choices has won a majority (more than half) the votes.
(1 ballot ignored because it ranks more than one choice as the most-preferred choice.
) |
Plurality |
Melinda Doolittle
(1 ballot ignored because it ranks more than one choice as the most-preferred choice.
) |
Condorcet |
Melinda Doolittle |
Borda count |
Tie between: Jordin Sparks Melinda Doolittle
(37 ballots ignored because they rank more than one choice at the same preference level.
) |
|
|
Details of plurality results
|
Choice |
Vote count |
Percentage |
Melinda Doolittle |
282 |
41 |
|
Jordin Sparks |
244 |
35 |
|
Blake Lewis |
169 |
24 |
|
|
(1 ballot ignored in plurality counting because it ranks 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:
696 |
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 |
343
|
17
|
336
|
X
=
Melinda Doolittle
Y
=
Blake Lewis |
426
|
4
|
266
|
X
=
Jordin Sparks
Y
=
Blake Lewis |
412
|
16
|
268
|
|
|
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is:
1,181 |
Number of all possible valid sequences (without ties):
6 |
First sequence:
-
Jordin Sparks
-
Melinda Doolittle
-
Blake Lewis
|
Last sequence:
-
Blake Lewis
-
Melinda Doolittle
-
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&3,2 x1
-
1,2&3 x4
-
1,2,3 x144
-
1,3,2 x96
-
2,1&3 x15
-
2,1,3 x168
-
2,3,1 x99
-
3,1&2 x17
-
3,1,2 x91
-
3,2,1 x61
|
©
Copyright 2007 Solutions Through Innovation at www.VoteFair.org
Software version:
2007-Apr-23
|