Instant Runoff Normalized Ratings: Difference between revisions

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Formula for '''IRNR[n]''' normalization:
Formula for '''IRNR[n]''' normalization:
<math>{C_{new}} =\frac{C_{old}}{\sqrt[n]{\sum \left(\bigl| C_{i}\bigr|^{n}\right)}}</math>
<math>\begin{equation}
<math>{C_{old}}</math> = rating of candidate C in the vote, before the normalization.
{C_{new}} =\frac{C_{old}}{\sqrt[n]{\sum \left(\bigl| C_{i}\bigr|^{n}\right)}}
<math>{C_{new}}</math> = rating of C, after the normalization.
\end{equation}</math>
<math>\begin{equation}{C_{old}}\end{equation}</math> = rating of candidate C in the vote, before the normalization.
<math>{C_{i}}</math> = ratings of each candidate in the vote, before the normalization.
<math>\begin{equation}{C_{new}}\end{equation}</math> = rating of C, after the normalization.
<math>\begin{equation}{C_{i}}\end{equation}</math> = ratings of each candidate in the vote, before the normalization.


The second step consists of summing up the normalized ratings for each candidate. If there are two choices, the highest rated is the winner. If there are more than two choices, the lowest rated choice is disqualified.
The second step consists of summing up the normalized ratings for each candidate. If there are two choices, the highest rated is the winner. If there are more than two choices, the lowest rated choice is disqualified.