Pairwise counting: Difference between revisions
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== Example with numbers == |
== Example with numbers == |
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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. |
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{{Tenn_voting_example}} |
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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. |
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In a pairwise comparison table, this can be visualized as (organized by [[Copeland]] ranking): |
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{| class="wikitable" |
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|+ |
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! |
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!A |
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!B |
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!C |
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!D |
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!E |
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|- |
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|A |
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| --- |
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|2 |
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|2 |
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|2 |
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|2 |
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|- |
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|B |
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|0 |
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| --- |
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|2 |
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|2 |
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|2 |
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|- |
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|C |
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|0 |
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|0 |
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| --- |
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|2 |
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|2 |
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|- |
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|D |
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|0 |
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|0 |
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|0 |
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| --- |
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|0 |
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|- |
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|E |
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|0 |
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|0 |
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|0 |
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|0 |
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| --- |
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|} |
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([https://star.vote star.vote] offers the ability to see the pairwise matrix based off of rated ballots.) {{Tenn_voting_example}} |
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As these ballot preferences are converted into pairwise counts they can be entered into a table. |
As these ballot preferences are converted into pairwise counts they can be entered into a table. |
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