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<p></p>
<h2>Binomial STV hand count demonstration</h2>
<p></p>
<p>Votes for 3 Preferences.</p>
<p>19600: A</p>
<p>39366: A > C > B</p>
<p>38957: B > C > A</p>
<p></p>
<p>For one vacancy, the (Droop) Quota = 97923/(1 + 1) = 48961.5</p>
<p></p>
<table border="1" style="width: 100%">
<caption>Table 1: Election count. Quota = 48961.5</caption>
<col />
<col />
<col />
<col />
<tbody>
<tr>
<td>Cand- <br />
idate </td>
<td>1st prefs.</td>
<td>A Surplus<br />
transfers</td>
<td>Keep<br />
value<br />
denom.<br />
<br />
</td>
</tr>
<tr>
<td>A </td>
<td>58966</td>
<td></td>
<td>58966</td>
</tr>
<tr>
<td>B</td>
<td>38957</td>
<td></td>
<td>38957</td>
</tr>
<tr>
<td>C</td>
<td>0</td>
<td>8002</td>
<td>8002</td>
</tr>
<tr>
<td>NOTA</td>
<td>0</td>
<td>2002.5</td>
<td>2002.5</td>
</tr>
<tr>
<td>Vote<br />
total<br />
</td>
<td>97923</td>
<td>58966-48961.5<br />
= 1004.5</td>
<td></td>
</tr>
</tbody>
</table>
<br />
<p>Candidate A surplus votes, to the quota, are calculated at a transfer value
of 1004.5/97923. Multiplied by 78323 second preference votes for C. This equals
8002.</p>
<p>And multiplied by 19600 votes for NOTA (None Of The Above), No-one or Nemo.
This equals 2002.5.</p>
<p>The fourth column gives each candidates keep value denominator, which is the
maximum votes for each candidate. The keep value is the quota divided by this
denominator.</p>
<p></p>
<p></p>
<table border="1" style="width: 100%">
<caption>Table 2: Exclusion count (of reverse prefs.). Quota =
48961.5</caption>
<col />
<col />
<tbody>
<tr>
<td>Candidate</td>
<td>Last prefs.<br />
(No surplus)<br />
= keep value<br />
denominator</td>
</tr>
<tr>
<td>A</td>
<td>38957</td>
</tr>
<tr>
<td>B</td>
<td>39366</td>
</tr>
<tr>
<td>C</td>
<td>0</td>
</tr>
<tr>
<td>NOTA</td>
<td>19600</td>
</tr>
<tr>
<td>Vote<br />
total</td>
<td>97923</td>
</tr>
</tbody>
</table>
<br />
<p>Dividing the election keep value by the exclusion keep value gives the keep
value quotient. This measures the balance, of liking and disliking of a
candidate, by the voters. It is a relative measure. It is not the absolute
measure given by the election quota. The exclusion quota only measures whether,
or not, the candidate is excluded, which is not the same thing, as a positive
election. </p>
<p></p>
<table border="1" style="width: 100%">
<caption>Table 3: Keep value quotient = election k.v./exclusion k.v.</caption>
<col />
<col />
<tbody>
<tr>
<td>Candidate</td>
<td>Keep value quotient</td>
</tr>
<tr>
<td>A</td>
<td>38957/58966</td>
</tr>
<tr>
<td>B</td>
<td>39366/38957</td>
</tr>
<tr>
<td>C</td>
<td>0/8002</td>
</tr>
<tr>
<td>NOTA</td>
<td>19600/2002.5</td>
</tr>
</tbody>
</table>
<br />
<p>Candidate A is elected, to the single vacancy, in both absolute terms, by
the election quota, and relative terms by the keep value quotient.</p>
<p>Candidate C is favored in relative terms, by the keep value quotient, but
not in absolute terms, by the election quota.</p>
<p>I have followed the advice of Kristofer Munsterhjelm, whose example this
count is, by maintaining the keep value ratios at their actual numbers, rather
than reduce them by division into irrational numbers, subject to decimal point
errors, or even getting into floating point arithmetic. Not to mention that
zero denominators produce infinities. Tho, that is not much of a problem.</p>
<br />
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