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Finite-rank operator - Revision history
2024-03-29T15:50:01Z
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en>Lucasnebrija: /* A canonical form */
2014-04-07T23:54:21Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 00:54, 8 April 2014</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">{{Unreferenced|date=December 2006}}</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Hi there</ins>, <ins style="font-weight: bold; text-decoration: none;">I am Andrew Berryhill</ins>. <ins style="font-weight: bold; text-decoration: none;">I've always loved residing </ins>in <ins style="font-weight: bold; text-decoration: none;">Mississippi</ins>. <ins style="font-weight: bold; text-decoration: none;">It's not a common thing but </ins>what <ins style="font-weight: bold; text-decoration: none;">I like performing </ins>is to <ins style="font-weight: bold; text-decoration: none;">climb but I don't have the time recently</ins>. <ins style="font-weight: bold; text-decoration: none;">Office supervising </ins>is <ins style="font-weight: bold; text-decoration: none;">exactly </ins>where <ins style="font-weight: bold; text-decoration: none;">her primary earnings arrives from</ins>.<<ins style="font-weight: bold; text-decoration: none;">br</ins>><<ins style="font-weight: bold; text-decoration: none;">br</ins>><ins style="font-weight: bold; text-decoration: none;">my web site: [http:</ins>//<ins style="font-weight: bold; text-decoration: none;">brazil</ins>.<ins style="font-weight: bold; text-decoration: none;">amor-amore</ins>.<ins style="font-weight: bold; text-decoration: none;">com/irboothe online psychic</ins>]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">The '''Lexis ratio''' is used in [[statistics]] as a measure which seeks to evaluate differences between the statistical properties of random mechanisms where the outcome is two-valued &mdash; for example "success" or "failure"</del>, <del style="font-weight: bold; text-decoration: none;">"win" or "lose"</del>. <del style="font-weight: bold; text-decoration: none;">The idea is that the probability of success might vary between different sets of trials </del>in <del style="font-weight: bold; text-decoration: none;">different situations</del>. </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">The measure compares the between-set variance of the sample proportions (evaluated for each set) with </del>what <del style="font-weight: bold; text-decoration: none;">the variance should be if there were no difference between in the true proportions of success across the different sets. Thus the measure </del>is <del style="font-weight: bold; text-decoration: none;">used </del>to <del style="font-weight: bold; text-decoration: none;">evaluate how data compares to a fixed-probability-of-success [[Bernoulli distribution]]</del>. <del style="font-weight: bold; text-decoration: none;">The term "Lexis ratio" </del>is <del style="font-weight: bold; text-decoration: none;">sometimes referred to as ''L'' or ''Q'', </del>where</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">:<math>L^2 =Q^2 = \frac{s^2}{\sigma_0^2}</del>.<<del style="font-weight: bold; text-decoration: none;">/math</del>></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Where </del><<del style="font-weight: bold; text-decoration: none;">math</del>><del style="font-weight: bold; text-decoration: none;">s^2 \,<</del>/<del style="font-weight: bold; text-decoration: none;">math> is the (weighted) [[sample variance]] derived from the observed proportions of success in sets in "Lexis trials" and <math>\sigma_0^2<</del>/<del style="font-weight: bold; text-decoration: none;">math> is the variance computed from the expected Bernoulli distribution on the basis of the overall average proportion of success</del>. <del style="font-weight: bold; text-decoration: none;"> Trials where ''L'' falls significantly above or below 1 are known as ''supernormal'' and ''subnormal,'' respectively</del>.</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">==See also==</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">*[[Overdispersion#Binomial]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">{{DEFAULTSORT:Lexis Ratio}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Evaluation methods]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Summary statistics]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Statistical ratios]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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en>Lucasnebrija
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en>Addbot: Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q5450385
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en>Michael Hardy: There was no attempt in the initial sentence to tell the lay reader that mathematics is what this is about.
2011-08-28T22:14:05Z
<p>There was no attempt in the initial sentence to tell the lay reader that mathematics is what this is about.</p>
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en>Michael Hardy