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chapter_3 [2009/12/01 09:58]
randy submitted for publisher review
chapter_3 [2009/12/06 05:39] (current)
randy Manual Stars in Table repair (known problem with xslt script)
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    * Using different normalized numbers in large reputation systems can cause unexpected biases when the original claim types were scalar values with slightly different ranges. Averaging normalized maximum 4-star ratings (25% each) with maximum 5-star ratings (20% each) leads to rounding errors that cause the scores to clump up if the average is denormalized back to 5 stars. See the example table <html><a href="#Table_4-1">Table_4-1</a>&nbsp;</html>.     * Using different normalized numbers in large reputation systems can cause unexpected biases when the original claim types were scalar values with slightly different ranges. Averaging normalized maximum 4-star ratings (25% each) with maximum 5-star ratings (20% each) leads to rounding errors that cause the scores to clump up if the average is denormalized back to 5 stars. See the example table <html><a href="#Table_4-1">Table_4-1</a>&nbsp;</html>.
<html><a name="Table_4-1"><center></html>// Table_4-1: An example of ugly side-effects when normalizing/denormalizing across different scales //<html></center></a><table align="center" border="1" class="inline"><thead><tr><td align="center">Scale</td><td align="center">1 Stars Normalized</td><td align="center">2 Stars Normalized</td><td align="center">3 Stars Normalized</td><td align="center">4 Stars Normalized</td><td align="center">5 Stars Normalized</td></tr></thead><tbody><tr><td align="center">4 stars</td><td align="center">25</td><td align="center">50</td><td align="center">51-75</td><td align="center">76-100</td><td align="center"> <html><a name="Table_4-1"><center></html>// Table_4-1: An example of ugly side-effects when normalizing/denormalizing across different scales //<html></center></a><table align="center" border="1" class="inline"><thead><tr><td align="center">Scale</td><td align="center">1 Stars Normalized</td><td align="center">2 Stars Normalized</td><td align="center">3 Stars Normalized</td><td align="center">4 Stars Normalized</td><td align="center">5 Stars Normalized</td></tr></thead><tbody><tr><td align="center">4 stars</td><td align="center">25</td><td align="center">50</td><td align="center">51-75</td><td align="center">76-100</td><td align="center">
-//N/A//  + N/A  
-</td></tr><tr><td align="center">5 stars</td><td align="center">20</td><td align="center">40</td><td align="center">41-60</td><td align="center">61-80</td><td align="center">81-100</td></tr><tr><td align="center">Averaged range / Denormalized</td><td align="center">0-22 / {{:full_star.gif}}{{:empty_star.gif}}{{:empty_star.gif}}{{:empty_star.gif}}{{:empty_star.gif}}</td><td align="center">23-45 / {{:full_star.gif}}{{:full_star.gif}}{{:empty_star.gif}}{{:empty_star.gif}}{{:empty_star.gif}}</td><td align="center">46-67 / {{:full_star.gif}}{{:full_star.gif}}{{:full_star.gif}}{{:empty_star.gif}}{{:empty_star.gif}}</td><td align="center">68-90 / {{:full_star.gif}}{{:full_star.gif}}{{:full_star.gif}}{{:full_star.gif}}{{:empty_star.gif}}</td><td align="center">78-100 / {{:full_star.gif}}{{:full_star.gif}}{{:full_star.gif}}{{:full_star.gif}}{{:full_star.gif}}</td></tr></tbody></table></html>+</td></tr><tr><td align="center">5 stars</td><td align="center">20</td><td align="center">40</td><td align="center">41-60</td><td align="center">61-80</td><td align="center">81-100</td></tr><tr><td align="center">Averaged range / Denormalized</td><td align="center">0-22 /<br><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""></td><td align="center">23-45 /<br><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""></td><td align="center">46-67 /<br><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""></td><td align="center">68-90 /<br><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/empty_star.gif" alt=""></td><td align="center">78-100 /<br><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""><img src="/figs/incoming/full_star.gif" alt=""></td></tr></tbody></table></html>
chapter_3.txt · Last modified: 2009/12/06 05:39 by randy
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