Pairwise counting: Difference between revisions
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== Example with numbers ==
{{Tenn_voting_example}}
As these ballot preferences are converted into pairwise counts they can be entered into a table.
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| align="left" | 17%
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== Another example with numbers ==
If there are five candidates A, B, C, D and E, and two voters submit the ranked ballots A>B>C, this means that they prefer A over B, B over C, and A over C, with (if it is assumed unranked candidates are ranked equally last) all three of these ranked candidates being preferred over either D or E.
If, for the same example, those two voters instead submit [[Rated voting|rated ballots]] of A:5 B:4 C:3 (meaning A is given a score of 5, B a 4, and C a 3, with D and E left blank), pairwise preferences can be inferred from this as well; because A is scored higher than B, and B is scored higher than C, it is known that these ballots indicate that A is preferred to B, B to C, and A to C, and (if blank scores are assumed to mean the lowest score i.e. usually a 0) all 3 over D and E.
In a pairwise comparison table, this can be visualized as (organized by [[Copeland]] ranking):
{| class="wikitable"
|+
!
!A
!B
!C
!D
!E
|-
|A
| ---
|2
|2
|2
|2
|-
|B
|0
| ---
|2
|2
|2
|-
|C
|0
|0
| ---
|2
|2
|-
|D
|0
|0
|0
| ---
|0
|-
|E
|0
|0
|0
|0
| ---
|}
([https://star.vote star.vote] offers the ability to see the pairwise matrix based off of rated ballots.)
Partial pairwise comparisons can be done using [[Choose-one voting]] ballots and [[Approval voting]] ballots, but such ballots do not supply information to indicate that the voter prefers their 1st choice over their 2nd choice, that the voter prefers their 2nd choice over their 3rd choice, and so on.
== Election examples ==
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