Pairwise counting: Difference between revisions
→Example with numbers
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== 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.) {{Tenn_voting_example}}
As these ballot preferences are converted into pairwise counts they can be entered into a table.
| |||