jjhelmus · September 23, 2015 20:05
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  <h3><a href="index.html">Table Of Contents</a></h3>
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 <li><a class="reference internal" href="#">Statistical functions (<tt class="docutils literal"><span class="pre">scipy.stats</span></tt>)</a><ul>
 <li><a class="reference internal" href="#continuous-distributions">Continuous distributions</a></li>
 <li><a class="reference internal" href="#multivariate-distributions">Multivariate distributions</a></li>
 <li><a class="reference internal" href="#discrete-distributions">Discrete distributions</a></li>
 <li><a class="reference internal" href="#statistical-functions">Statistical functions</a><ul>
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 <li><a class="reference internal" href="#circular-statistical-functions">Circular statistical functions</a></li>
 <li><a class="reference internal" href="#contingency-table-functions">Contingency table functions</a></li>
 <li><a class="reference internal" href="#plot-tests">Plot-tests</a></li>
 <li><a class="reference internal" href="#masked-statistics-functions">Masked statistics functions</a></li>
 <li><a class="reference internal" href="#univariate-and-multivariate-kernel-density-estimation-scipy-stats-kde">Univariate and multivariate kernel density estimation (<tt class="docutils literal"><span class="pre">scipy.stats.kde</span></tt>)</a></li>
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  <span class="target" id="module-scipy.stats"></span><div class="section" id="module-scipy.stats">
 <span id="statistical-functions-scipy-stats"></span><h1>Statistical functions (<a class="reference internal" href="#module-scipy.stats" title="scipy.stats"><tt class="xref py py-mod docutils literal"><span class="pre">scipy.stats</span></tt></a>)<a class="headerlink" href="#module-scipy.stats" title="Permalink to this headline">¶</a></h1>
 <p>This module contains a large number of probability distributions as
 well as a growing library of statistical functions.</p>
 <p>Each univariate distribution is an instance of a subclass of <a class="reference internal" href="generated/scipy.stats.rv_continuous.html#scipy.stats.rv_continuous" title="scipy.stats.rv_continuous"><tt class="xref py py-obj docutils literal"><span class="pre">rv_continuous</span></tt></a>
 (<a class="reference internal" href="generated/scipy.stats.rv_discrete.html#scipy.stats.rv_discrete" title="scipy.stats.rv_discrete"><tt class="xref py py-obj docutils literal"><span class="pre">rv_discrete</span></tt></a> for discrete distributions):</p>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.rv_continuous.html#scipy.stats.rv_continuous" title="scipy.stats.rv_continuous"><tt class="xref py py-obj docutils literal"><span class="pre">rv_continuous</span></tt></a>([momtype,&nbsp;a,&nbsp;b,&nbsp;xtol,&nbsp;...])</td>
 <td>A generic continuous random variable class meant for subclassing.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.rv_discrete.html#scipy.stats.rv_discrete" title="scipy.stats.rv_discrete"><tt class="xref py py-obj docutils literal"><span class="pre">rv_discrete</span></tt></a>([a,&nbsp;b,&nbsp;name,&nbsp;badvalue,&nbsp;...])</td>
 <td>A generic discrete random variable class meant for subclassing.</td>
 </tr>
 </tbody>
 </table>
 <div class="section" id="continuous-distributions">
 <h2>Continuous distributions<a class="headerlink" href="#continuous-distributions" title="Permalink to this headline">¶</a></h2>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.alpha.html#scipy.stats.alpha" title="scipy.stats.alpha"><tt class="xref py py-obj docutils literal"><span class="pre">alpha</span></tt></a></td>
 <td>An alpha continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.anglit.html#scipy.stats.anglit" title="scipy.stats.anglit"><tt class="xref py py-obj docutils literal"><span class="pre">anglit</span></tt></a></td>
 <td>An anglit continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.arcsine.html#scipy.stats.arcsine" title="scipy.stats.arcsine"><tt class="xref py py-obj docutils literal"><span class="pre">arcsine</span></tt></a></td>
 <td>An arcsine continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.beta.html#scipy.stats.beta" title="scipy.stats.beta"><tt class="xref py py-obj docutils literal"><span class="pre">beta</span></tt></a></td>
 <td>A beta continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.betaprime.html#scipy.stats.betaprime" title="scipy.stats.betaprime"><tt class="xref py py-obj docutils literal"><span class="pre">betaprime</span></tt></a></td>
 <td>A beta prime continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.bradford.html#scipy.stats.bradford" title="scipy.stats.bradford"><tt class="xref py py-obj docutils literal"><span class="pre">bradford</span></tt></a></td>
 <td>A Bradford continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.burr.html#scipy.stats.burr" title="scipy.stats.burr"><tt class="xref py py-obj docutils literal"><span class="pre">burr</span></tt></a></td>
 <td>A Burr continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.cauchy.html#scipy.stats.cauchy" title="scipy.stats.cauchy"><tt class="xref py py-obj docutils literal"><span class="pre">cauchy</span></tt></a></td>
 <td>A Cauchy continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.chi.html#scipy.stats.chi" title="scipy.stats.chi"><tt class="xref py py-obj docutils literal"><span class="pre">chi</span></tt></a></td>
 <td>A chi continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.chi2.html#scipy.stats.chi2" title="scipy.stats.chi2"><tt class="xref py py-obj docutils literal"><span class="pre">chi2</span></tt></a></td>
 <td>A chi-squared continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.cosine.html#scipy.stats.cosine" title="scipy.stats.cosine"><tt class="xref py py-obj docutils literal"><span class="pre">cosine</span></tt></a></td>
 <td>A cosine continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.dgamma.html#scipy.stats.dgamma" title="scipy.stats.dgamma"><tt class="xref py py-obj docutils literal"><span class="pre">dgamma</span></tt></a></td>
 <td>A double gamma continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.dweibull.html#scipy.stats.dweibull" title="scipy.stats.dweibull"><tt class="xref py py-obj docutils literal"><span class="pre">dweibull</span></tt></a></td>
 <td>A double Weibull continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.erlang.html#scipy.stats.erlang" title="scipy.stats.erlang"><tt class="xref py py-obj docutils literal"><span class="pre">erlang</span></tt></a></td>
 <td>An Erlang continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.expon.html#scipy.stats.expon" title="scipy.stats.expon"><tt class="xref py py-obj docutils literal"><span class="pre">expon</span></tt></a></td>
 <td>An exponential continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.exponnorm.html#scipy.stats.exponnorm" title="scipy.stats.exponnorm"><tt class="xref py py-obj docutils literal"><span class="pre">exponnorm</span></tt></a></td>
 <td>An exponentially modified Normal continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.exponweib.html#scipy.stats.exponweib" title="scipy.stats.exponweib"><tt class="xref py py-obj docutils literal"><span class="pre">exponweib</span></tt></a></td>
 <td>An exponentiated Weibull continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.exponpow.html#scipy.stats.exponpow" title="scipy.stats.exponpow"><tt class="xref py py-obj docutils literal"><span class="pre">exponpow</span></tt></a></td>
 <td>An exponential power continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.f.html#scipy.stats.f" title="scipy.stats.f"><tt class="xref py py-obj docutils literal"><span class="pre">f</span></tt></a></td>
 <td>An F continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.fatiguelife.html#scipy.stats.fatiguelife" title="scipy.stats.fatiguelife"><tt class="xref py py-obj docutils literal"><span class="pre">fatiguelife</span></tt></a></td>
 <td>A fatigue-life (Birnbaum-Saunders) continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.fisk.html#scipy.stats.fisk" title="scipy.stats.fisk"><tt class="xref py py-obj docutils literal"><span class="pre">fisk</span></tt></a></td>
 <td>A Fisk continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.foldcauchy.html#scipy.stats.foldcauchy" title="scipy.stats.foldcauchy"><tt class="xref py py-obj docutils literal"><span class="pre">foldcauchy</span></tt></a></td>
 <td>A folded Cauchy continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.foldnorm.html#scipy.stats.foldnorm" title="scipy.stats.foldnorm"><tt class="xref py py-obj docutils literal"><span class="pre">foldnorm</span></tt></a></td>
 <td>A folded normal continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.frechet_r.html#scipy.stats.frechet_r" title="scipy.stats.frechet_r"><tt class="xref py py-obj docutils literal"><span class="pre">frechet_r</span></tt></a></td>
 <td>A Frechet right (or Weibull minimum) continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.frechet_l.html#scipy.stats.frechet_l" title="scipy.stats.frechet_l"><tt class="xref py py-obj docutils literal"><span class="pre">frechet_l</span></tt></a></td>
 <td>A Frechet left (or Weibull maximum) continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.genlogistic.html#scipy.stats.genlogistic" title="scipy.stats.genlogistic"><tt class="xref py py-obj docutils literal"><span class="pre">genlogistic</span></tt></a></td>
 <td>A generalized logistic continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.gennorm.html#scipy.stats.gennorm" title="scipy.stats.gennorm"><tt class="xref py py-obj docutils literal"><span class="pre">gennorm</span></tt></a></td>
 <td>A generalized normal continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.genpareto.html#scipy.stats.genpareto" title="scipy.stats.genpareto"><tt class="xref py py-obj docutils literal"><span class="pre">genpareto</span></tt></a></td>
 <td>A generalized Pareto continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.genexpon.html#scipy.stats.genexpon" title="scipy.stats.genexpon"><tt class="xref py py-obj docutils literal"><span class="pre">genexpon</span></tt></a></td>
 <td>A generalized exponential continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.genextreme.html#scipy.stats.genextreme" title="scipy.stats.genextreme"><tt class="xref py py-obj docutils literal"><span class="pre">genextreme</span></tt></a></td>
 <td>A generalized extreme value continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.gausshyper.html#scipy.stats.gausshyper" title="scipy.stats.gausshyper"><tt class="xref py py-obj docutils literal"><span class="pre">gausshyper</span></tt></a></td>
 <td>A Gauss hypergeometric continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.gamma.html#scipy.stats.gamma" title="scipy.stats.gamma"><tt class="xref py py-obj docutils literal"><span class="pre">gamma</span></tt></a></td>
 <td>A gamma continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.gengamma.html#scipy.stats.gengamma" title="scipy.stats.gengamma"><tt class="xref py py-obj docutils literal"><span class="pre">gengamma</span></tt></a></td>
 <td>A generalized gamma continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.genhalflogistic.html#scipy.stats.genhalflogistic" title="scipy.stats.genhalflogistic"><tt class="xref py py-obj docutils literal"><span class="pre">genhalflogistic</span></tt></a></td>
 <td>A generalized half-logistic continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.gilbrat.html#scipy.stats.gilbrat" title="scipy.stats.gilbrat"><tt class="xref py py-obj docutils literal"><span class="pre">gilbrat</span></tt></a></td>
 <td>A Gilbrat continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.gompertz.html#scipy.stats.gompertz" title="scipy.stats.gompertz"><tt class="xref py py-obj docutils literal"><span class="pre">gompertz</span></tt></a></td>
 <td>A Gompertz (or truncated Gumbel) continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.gumbel_r.html#scipy.stats.gumbel_r" title="scipy.stats.gumbel_r"><tt class="xref py py-obj docutils literal"><span class="pre">gumbel_r</span></tt></a></td>
 <td>A right-skewed Gumbel continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.gumbel_l.html#scipy.stats.gumbel_l" title="scipy.stats.gumbel_l"><tt class="xref py py-obj docutils literal"><span class="pre">gumbel_l</span></tt></a></td>
 <td>A left-skewed Gumbel continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.halfcauchy.html#scipy.stats.halfcauchy" title="scipy.stats.halfcauchy"><tt class="xref py py-obj docutils literal"><span class="pre">halfcauchy</span></tt></a></td>
 <td>A Half-Cauchy continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.halflogistic.html#scipy.stats.halflogistic" title="scipy.stats.halflogistic"><tt class="xref py py-obj docutils literal"><span class="pre">halflogistic</span></tt></a></td>
 <td>A half-logistic continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.halfnorm.html#scipy.stats.halfnorm" title="scipy.stats.halfnorm"><tt class="xref py py-obj docutils literal"><span class="pre">halfnorm</span></tt></a></td>
 <td>A half-normal continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.halfgennorm.html#scipy.stats.halfgennorm" title="scipy.stats.halfgennorm"><tt class="xref py py-obj docutils literal"><span class="pre">halfgennorm</span></tt></a></td>
 <td>The upper half of a generalized normal continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.hypsecant.html#scipy.stats.hypsecant" title="scipy.stats.hypsecant"><tt class="xref py py-obj docutils literal"><span class="pre">hypsecant</span></tt></a></td>
 <td>A hyperbolic secant continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.invgamma.html#scipy.stats.invgamma" title="scipy.stats.invgamma"><tt class="xref py py-obj docutils literal"><span class="pre">invgamma</span></tt></a></td>
 <td>An inverted gamma continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.invgauss.html#scipy.stats.invgauss" title="scipy.stats.invgauss"><tt class="xref py py-obj docutils literal"><span class="pre">invgauss</span></tt></a></td>
 <td>An inverse Gaussian continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.invweibull.html#scipy.stats.invweibull" title="scipy.stats.invweibull"><tt class="xref py py-obj docutils literal"><span class="pre">invweibull</span></tt></a></td>
 <td>An inverted Weibull continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.johnsonsb.html#scipy.stats.johnsonsb" title="scipy.stats.johnsonsb"><tt class="xref py py-obj docutils literal"><span class="pre">johnsonsb</span></tt></a></td>
 <td>A Johnson SB continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.johnsonsu.html#scipy.stats.johnsonsu" title="scipy.stats.johnsonsu"><tt class="xref py py-obj docutils literal"><span class="pre">johnsonsu</span></tt></a></td>
 <td>A Johnson SU continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.ksone.html#scipy.stats.ksone" title="scipy.stats.ksone"><tt class="xref py py-obj docutils literal"><span class="pre">ksone</span></tt></a></td>
 <td>General Kolmogorov-Smirnov one-sided test.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.kstwobign.html#scipy.stats.kstwobign" title="scipy.stats.kstwobign"><tt class="xref py py-obj docutils literal"><span class="pre">kstwobign</span></tt></a></td>
 <td>Kolmogorov-Smirnov two-sided test for large N.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.laplace.html#scipy.stats.laplace" title="scipy.stats.laplace"><tt class="xref py py-obj docutils literal"><span class="pre">laplace</span></tt></a></td>
 <td>A Laplace continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.logistic.html#scipy.stats.logistic" title="scipy.stats.logistic"><tt class="xref py py-obj docutils literal"><span class="pre">logistic</span></tt></a></td>
 <td>A logistic (or Sech-squared) continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.loggamma.html#scipy.stats.loggamma" title="scipy.stats.loggamma"><tt class="xref py py-obj docutils literal"><span class="pre">loggamma</span></tt></a></td>
 <td>A log gamma continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.loglaplace.html#scipy.stats.loglaplace" title="scipy.stats.loglaplace"><tt class="xref py py-obj docutils literal"><span class="pre">loglaplace</span></tt></a></td>
 <td>A log-Laplace continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.lognorm.html#scipy.stats.lognorm" title="scipy.stats.lognorm"><tt class="xref py py-obj docutils literal"><span class="pre">lognorm</span></tt></a></td>
 <td>A lognormal continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.lomax.html#scipy.stats.lomax" title="scipy.stats.lomax"><tt class="xref py py-obj docutils literal"><span class="pre">lomax</span></tt></a></td>
 <td>A Lomax (Pareto of the second kind) continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.maxwell.html#scipy.stats.maxwell" title="scipy.stats.maxwell"><tt class="xref py py-obj docutils literal"><span class="pre">maxwell</span></tt></a></td>
 <td>A Maxwell continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.mielke.html#scipy.stats.mielke" title="scipy.stats.mielke"><tt class="xref py py-obj docutils literal"><span class="pre">mielke</span></tt></a></td>
 <td>A Mielke&#8217;s Beta-Kappa continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.nakagami.html#scipy.stats.nakagami" title="scipy.stats.nakagami"><tt class="xref py py-obj docutils literal"><span class="pre">nakagami</span></tt></a></td>
 <td>A Nakagami continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.ncx2.html#scipy.stats.ncx2" title="scipy.stats.ncx2"><tt class="xref py py-obj docutils literal"><span class="pre">ncx2</span></tt></a></td>
 <td>A non-central chi-squared continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.ncf.html#scipy.stats.ncf" title="scipy.stats.ncf"><tt class="xref py py-obj docutils literal"><span class="pre">ncf</span></tt></a></td>
 <td>A non-central F distribution continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.nct.html#scipy.stats.nct" title="scipy.stats.nct"><tt class="xref py py-obj docutils literal"><span class="pre">nct</span></tt></a></td>
 <td>A non-central Student&#8217;s T continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.norm.html#scipy.stats.norm" title="scipy.stats.norm"><tt class="xref py py-obj docutils literal"><span class="pre">norm</span></tt></a></td>
 <td>A normal continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.pareto.html#scipy.stats.pareto" title="scipy.stats.pareto"><tt class="xref py py-obj docutils literal"><span class="pre">pareto</span></tt></a></td>
 <td>A Pareto continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.pearson3.html#scipy.stats.pearson3" title="scipy.stats.pearson3"><tt class="xref py py-obj docutils literal"><span class="pre">pearson3</span></tt></a></td>
 <td>A pearson type III continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.powerlaw.html#scipy.stats.powerlaw" title="scipy.stats.powerlaw"><tt class="xref py py-obj docutils literal"><span class="pre">powerlaw</span></tt></a></td>
 <td>A power-function continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.powerlognorm.html#scipy.stats.powerlognorm" title="scipy.stats.powerlognorm"><tt class="xref py py-obj docutils literal"><span class="pre">powerlognorm</span></tt></a></td>
 <td>A power log-normal continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.powernorm.html#scipy.stats.powernorm" title="scipy.stats.powernorm"><tt class="xref py py-obj docutils literal"><span class="pre">powernorm</span></tt></a></td>
 <td>A power normal continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.rdist.html#scipy.stats.rdist" title="scipy.stats.rdist"><tt class="xref py py-obj docutils literal"><span class="pre">rdist</span></tt></a></td>
 <td>An R-distributed continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.reciprocal.html#scipy.stats.reciprocal" title="scipy.stats.reciprocal"><tt class="xref py py-obj docutils literal"><span class="pre">reciprocal</span></tt></a></td>
 <td>A reciprocal continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.rayleigh.html#scipy.stats.rayleigh" title="scipy.stats.rayleigh"><tt class="xref py py-obj docutils literal"><span class="pre">rayleigh</span></tt></a></td>
 <td>A Rayleigh continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.rice.html#scipy.stats.rice" title="scipy.stats.rice"><tt class="xref py py-obj docutils literal"><span class="pre">rice</span></tt></a></td>
 <td>A Rice continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.recipinvgauss.html#scipy.stats.recipinvgauss" title="scipy.stats.recipinvgauss"><tt class="xref py py-obj docutils literal"><span class="pre">recipinvgauss</span></tt></a></td>
 <td>A reciprocal inverse Gaussian continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.semicircular.html#scipy.stats.semicircular" title="scipy.stats.semicircular"><tt class="xref py py-obj docutils literal"><span class="pre">semicircular</span></tt></a></td>
 <td>A semicircular continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.t.html#scipy.stats.t" title="scipy.stats.t"><tt class="xref py py-obj docutils literal"><span class="pre">t</span></tt></a></td>
 <td>A Student&#8217;s T continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.triang.html#scipy.stats.triang" title="scipy.stats.triang"><tt class="xref py py-obj docutils literal"><span class="pre">triang</span></tt></a></td>
 <td>A triangular continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.truncexpon.html#scipy.stats.truncexpon" title="scipy.stats.truncexpon"><tt class="xref py py-obj docutils literal"><span class="pre">truncexpon</span></tt></a></td>
 <td>A truncated exponential continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.truncnorm.html#scipy.stats.truncnorm" title="scipy.stats.truncnorm"><tt class="xref py py-obj docutils literal"><span class="pre">truncnorm</span></tt></a></td>
 <td>A truncated normal continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.tukeylambda.html#scipy.stats.tukeylambda" title="scipy.stats.tukeylambda"><tt class="xref py py-obj docutils literal"><span class="pre">tukeylambda</span></tt></a></td>
 <td>A Tukey-Lamdba continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.uniform.html#scipy.stats.uniform" title="scipy.stats.uniform"><tt class="xref py py-obj docutils literal"><span class="pre">uniform</span></tt></a></td>
 <td>A uniform continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.vonmises.html#scipy.stats.vonmises" title="scipy.stats.vonmises"><tt class="xref py py-obj docutils literal"><span class="pre">vonmises</span></tt></a></td>
 <td>A Von Mises continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.wald.html#scipy.stats.wald" title="scipy.stats.wald"><tt class="xref py py-obj docutils literal"><span class="pre">wald</span></tt></a></td>
 <td>A Wald continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.weibull_min.html#scipy.stats.weibull_min" title="scipy.stats.weibull_min"><tt class="xref py py-obj docutils literal"><span class="pre">weibull_min</span></tt></a></td>
 <td>A Frechet right (or Weibull minimum) continuous random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.weibull_max.html#scipy.stats.weibull_max" title="scipy.stats.weibull_max"><tt class="xref py py-obj docutils literal"><span class="pre">weibull_max</span></tt></a></td>
 <td>A Frechet left (or Weibull maximum) continuous random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.wrapcauchy.html#scipy.stats.wrapcauchy" title="scipy.stats.wrapcauchy"><tt class="xref py py-obj docutils literal"><span class="pre">wrapcauchy</span></tt></a></td>
 <td>A wrapped Cauchy continuous random variable.</td>
 </tr>
 </tbody>
 </table>
 </div>
 <div class="section" id="multivariate-distributions">
 <h2>Multivariate distributions<a class="headerlink" href="#multivariate-distributions" title="Permalink to this headline">¶</a></h2>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.multivariate_normal.html#scipy.stats.multivariate_normal" title="scipy.stats.multivariate_normal"><tt class="xref py py-obj docutils literal"><span class="pre">multivariate_normal</span></tt></a></td>
 <td>A multivariate normal random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.dirichlet.html#scipy.stats.dirichlet" title="scipy.stats.dirichlet"><tt class="xref py py-obj docutils literal"><span class="pre">dirichlet</span></tt></a></td>
 <td>A Dirichlet random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.wishart.html#scipy.stats.wishart" title="scipy.stats.wishart"><tt class="xref py py-obj docutils literal"><span class="pre">wishart</span></tt></a></td>
 <td>A Wishart random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.invwishart.html#scipy.stats.invwishart" title="scipy.stats.invwishart"><tt class="xref py py-obj docutils literal"><span class="pre">invwishart</span></tt></a></td>
 <td>An inverse Wishart random variable.</td>
 </tr>
 </tbody>
 </table>
 </div>
 <div class="section" id="discrete-distributions">
 <h2>Discrete distributions<a class="headerlink" href="#discrete-distributions" title="Permalink to this headline">¶</a></h2>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.bernoulli.html#scipy.stats.bernoulli" title="scipy.stats.bernoulli"><tt class="xref py py-obj docutils literal"><span class="pre">bernoulli</span></tt></a></td>
 <td>A Bernoulli discrete random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.binom.html#scipy.stats.binom" title="scipy.stats.binom"><tt class="xref py py-obj docutils literal"><span class="pre">binom</span></tt></a></td>
 <td>A binomial discrete random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.boltzmann.html#scipy.stats.boltzmann" title="scipy.stats.boltzmann"><tt class="xref py py-obj docutils literal"><span class="pre">boltzmann</span></tt></a></td>
 <td>A Boltzmann (Truncated Discrete Exponential) random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.dlaplace.html#scipy.stats.dlaplace" title="scipy.stats.dlaplace"><tt class="xref py py-obj docutils literal"><span class="pre">dlaplace</span></tt></a></td>
 <td>A  Laplacian discrete random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.geom.html#scipy.stats.geom" title="scipy.stats.geom"><tt class="xref py py-obj docutils literal"><span class="pre">geom</span></tt></a></td>
 <td>A geometric discrete random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.hypergeom.html#scipy.stats.hypergeom" title="scipy.stats.hypergeom"><tt class="xref py py-obj docutils literal"><span class="pre">hypergeom</span></tt></a></td>
 <td>A hypergeometric discrete random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.logser.html#scipy.stats.logser" title="scipy.stats.logser"><tt class="xref py py-obj docutils literal"><span class="pre">logser</span></tt></a></td>
 <td>A Logarithmic (Log-Series, Series) discrete random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.nbinom.html#scipy.stats.nbinom" title="scipy.stats.nbinom"><tt class="xref py py-obj docutils literal"><span class="pre">nbinom</span></tt></a></td>
 <td>A negative binomial discrete random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.planck.html#scipy.stats.planck" title="scipy.stats.planck"><tt class="xref py py-obj docutils literal"><span class="pre">planck</span></tt></a></td>
 <td>A Planck discrete exponential random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.poisson.html#scipy.stats.poisson" title="scipy.stats.poisson"><tt class="xref py py-obj docutils literal"><span class="pre">poisson</span></tt></a></td>
 <td>A Poisson discrete random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.randint.html#scipy.stats.randint" title="scipy.stats.randint"><tt class="xref py py-obj docutils literal"><span class="pre">randint</span></tt></a></td>
 <td>A uniform discrete random variable.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.skellam.html#scipy.stats.skellam" title="scipy.stats.skellam"><tt class="xref py py-obj docutils literal"><span class="pre">skellam</span></tt></a></td>
 <td>A  Skellam discrete random variable.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.zipf.html#scipy.stats.zipf" title="scipy.stats.zipf"><tt class="xref py py-obj docutils literal"><span class="pre">zipf</span></tt></a></td>
 <td>A Zipf discrete random variable.</td>
 </tr>
 </tbody>
 </table>
 </div>
 <div class="section" id="statistical-functions">
 <h2>Statistical functions<a class="headerlink" href="#statistical-functions" title="Permalink to this headline">¶</a></h2>
 <p>Several of these functions have a similar version in scipy.stats.mstats
 which work for masked arrays.</p>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.describe.html#scipy.stats.describe" title="scipy.stats.describe"><tt class="xref py py-obj docutils literal"><span class="pre">describe</span></tt></a>(a[,&nbsp;axis,&nbsp;ddof])</td>
 <td>Computes several descriptive statistics of the passed array.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.gmean.html#scipy.stats.gmean" title="scipy.stats.gmean"><tt class="xref py py-obj docutils literal"><span class="pre">gmean</span></tt></a>(a[,&nbsp;axis,&nbsp;dtype])</td>
 <td>Compute the geometric mean along the specified axis.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.hmean.html#scipy.stats.hmean" title="scipy.stats.hmean"><tt class="xref py py-obj docutils literal"><span class="pre">hmean</span></tt></a>(a[,&nbsp;axis,&nbsp;dtype])</td>
 <td>Calculates the harmonic mean along the specified axis.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.kurtosis.html#scipy.stats.kurtosis" title="scipy.stats.kurtosis"><tt class="xref py py-obj docutils literal"><span class="pre">kurtosis</span></tt></a>(a[,&nbsp;axis,&nbsp;fisher,&nbsp;bias])</td>
 <td>Computes the kurtosis (Fisher or Pearson) of a dataset.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.kurtosistest.html#scipy.stats.kurtosistest" title="scipy.stats.kurtosistest"><tt class="xref py py-obj docutils literal"><span class="pre">kurtosistest</span></tt></a>(a[,&nbsp;axis])</td>
 <td>Tests whether a dataset has normal kurtosis</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.mode.html#scipy.stats.mode" title="scipy.stats.mode"><tt class="xref py py-obj docutils literal"><span class="pre">mode</span></tt></a>(a[,&nbsp;axis])</td>
 <td>Returns an array of the modal (most common) value in the passed array.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.moment.html#scipy.stats.moment" title="scipy.stats.moment"><tt class="xref py py-obj docutils literal"><span class="pre">moment</span></tt></a>(a[,&nbsp;moment,&nbsp;axis])</td>
 <td>Calculates the nth moment about the mean for a sample.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.normaltest.html#scipy.stats.normaltest" title="scipy.stats.normaltest"><tt class="xref py py-obj docutils literal"><span class="pre">normaltest</span></tt></a>(a[,&nbsp;axis])</td>
 <td>Tests whether a sample differs from a normal distribution.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.skew.html#scipy.stats.skew" title="scipy.stats.skew"><tt class="xref py py-obj docutils literal"><span class="pre">skew</span></tt></a>(a[,&nbsp;axis,&nbsp;bias])</td>
 <td>Computes the skewness of a data set.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.skewtest.html#scipy.stats.skewtest" title="scipy.stats.skewtest"><tt class="xref py py-obj docutils literal"><span class="pre">skewtest</span></tt></a>(a[,&nbsp;axis])</td>
 <td>Tests whether the skew is different from the normal distribution.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.kstat.html#scipy.stats.kstat" title="scipy.stats.kstat"><tt class="xref py py-obj docutils literal"><span class="pre">kstat</span></tt></a>(data[,&nbsp;n])</td>
 <td>Return the nth k-statistic (1&lt;=n&lt;=4 so far).</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.kstatvar.html#scipy.stats.kstatvar" title="scipy.stats.kstatvar"><tt class="xref py py-obj docutils literal"><span class="pre">kstatvar</span></tt></a>(data[,&nbsp;n])</td>
 <td>Returns an unbiased estimator of the variance of the k-statistic.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.tmean.html#scipy.stats.tmean" title="scipy.stats.tmean"><tt class="xref py py-obj docutils literal"><span class="pre">tmean</span></tt></a>(a[,&nbsp;limits,&nbsp;inclusive])</td>
 <td>Compute the trimmed mean.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.tvar.html#scipy.stats.tvar" title="scipy.stats.tvar"><tt class="xref py py-obj docutils literal"><span class="pre">tvar</span></tt></a>(a[,&nbsp;limits,&nbsp;inclusive])</td>
 <td>Compute the trimmed variance</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.tmin.html#scipy.stats.tmin" title="scipy.stats.tmin"><tt class="xref py py-obj docutils literal"><span class="pre">tmin</span></tt></a>(a[,&nbsp;lowerlimit,&nbsp;axis,&nbsp;inclusive])</td>
 <td>Compute the trimmed minimum</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.tmax.html#scipy.stats.tmax" title="scipy.stats.tmax"><tt class="xref py py-obj docutils literal"><span class="pre">tmax</span></tt></a>(a[,&nbsp;upperlimit,&nbsp;axis,&nbsp;inclusive])</td>
 <td>Compute the trimmed maximum</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.tstd.html#scipy.stats.tstd" title="scipy.stats.tstd"><tt class="xref py py-obj docutils literal"><span class="pre">tstd</span></tt></a>(a[,&nbsp;limits,&nbsp;inclusive])</td>
 <td>Compute the trimmed sample standard deviation</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.tsem.html#scipy.stats.tsem" title="scipy.stats.tsem"><tt class="xref py py-obj docutils literal"><span class="pre">tsem</span></tt></a>(a[,&nbsp;limits,&nbsp;inclusive])</td>
 <td>Compute the trimmed standard error of the mean.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.nanmean.html#scipy.stats.nanmean" title="scipy.stats.nanmean"><tt class="xref py py-obj docutils literal"><span class="pre">nanmean</span></tt></a>(*args,&nbsp;**kwds)</td>
 <td><a class="reference internal" href="generated/scipy.stats.nanmean.html#scipy.stats.nanmean" title="scipy.stats.nanmean"><tt class="xref py py-obj docutils literal"><span class="pre">nanmean</span></tt></a> is deprecated!</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.nanstd.html#scipy.stats.nanstd" title="scipy.stats.nanstd"><tt class="xref py py-obj docutils literal"><span class="pre">nanstd</span></tt></a>(*args,&nbsp;**kwds)</td>
 <td><a class="reference internal" href="generated/scipy.stats.nanstd.html#scipy.stats.nanstd" title="scipy.stats.nanstd"><tt class="xref py py-obj docutils literal"><span class="pre">nanstd</span></tt></a> is deprecated!</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.nanmedian.html#scipy.stats.nanmedian" title="scipy.stats.nanmedian"><tt class="xref py py-obj docutils literal"><span class="pre">nanmedian</span></tt></a>(*args,&nbsp;**kwds)</td>
 <td><a class="reference internal" href="generated/scipy.stats.nanmedian.html#scipy.stats.nanmedian" title="scipy.stats.nanmedian"><tt class="xref py py-obj docutils literal"><span class="pre">nanmedian</span></tt></a> is deprecated!</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.variation.html#scipy.stats.variation" title="scipy.stats.variation"><tt class="xref py py-obj docutils literal"><span class="pre">variation</span></tt></a>(a[,&nbsp;axis])</td>
 <td>Computes the coefficient of variation, the ratio of the biased standard deviation to the mean.</td>
 </tr>
 </tbody>
 </table>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.cumfreq.html#scipy.stats.cumfreq" title="scipy.stats.cumfreq"><tt class="xref py py-obj docutils literal"><span class="pre">cumfreq</span></tt></a>(a[,&nbsp;numbins,&nbsp;defaultreallimits,&nbsp;weights])</td>
 <td>Returns a cumulative frequency histogram, using the histogram function.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.histogram2.html#scipy.stats.histogram2" title="scipy.stats.histogram2"><tt class="xref py py-obj docutils literal"><span class="pre">histogram2</span></tt></a>(*args,&nbsp;**kwds)</td>
 <td><a class="reference internal" href="generated/scipy.stats.histogram2.html#scipy.stats.histogram2" title="scipy.stats.histogram2"><tt class="xref py py-obj docutils literal"><span class="pre">histogram2</span></tt></a> is deprecated!</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.histogram.html#scipy.stats.histogram" title="scipy.stats.histogram"><tt class="xref py py-obj docutils literal"><span class="pre">histogram</span></tt></a>(a[,&nbsp;numbins,&nbsp;defaultlimits,&nbsp;...])</td>
 <td>Separates the range into several bins and returns the number of instances in each bin.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.itemfreq.html#scipy.stats.itemfreq" title="scipy.stats.itemfreq"><tt class="xref py py-obj docutils literal"><span class="pre">itemfreq</span></tt></a>(a)</td>
 <td>Returns a 2-D array of item frequencies.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.percentileofscore.html#scipy.stats.percentileofscore" title="scipy.stats.percentileofscore"><tt class="xref py py-obj docutils literal"><span class="pre">percentileofscore</span></tt></a>(a,&nbsp;score[,&nbsp;kind])</td>
 <td>The percentile rank of a score relative to a list of scores.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.scoreatpercentile.html#scipy.stats.scoreatpercentile" title="scipy.stats.scoreatpercentile"><tt class="xref py py-obj docutils literal"><span class="pre">scoreatpercentile</span></tt></a>(a,&nbsp;per[,&nbsp;limit,&nbsp;...])</td>
 <td>Calculate the score at a given percentile of the input sequence.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.relfreq.html#scipy.stats.relfreq" title="scipy.stats.relfreq"><tt class="xref py py-obj docutils literal"><span class="pre">relfreq</span></tt></a>(a[,&nbsp;numbins,&nbsp;defaultreallimits,&nbsp;weights])</td>
 <td>Returns a relative frequency histogram, using the histogram function.</td>
 </tr>
 </tbody>
 </table>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.binned_statistic.html#scipy.stats.binned_statistic" title="scipy.stats.binned_statistic"><tt class="xref py py-obj docutils literal"><span class="pre">binned_statistic</span></tt></a>(x,&nbsp;values[,&nbsp;statistic,&nbsp;...])</td>
 <td>Compute a binned statistic for a set of data.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.binned_statistic_2d.html#scipy.stats.binned_statistic_2d" title="scipy.stats.binned_statistic_2d"><tt class="xref py py-obj docutils literal"><span class="pre">binned_statistic_2d</span></tt></a>(x,&nbsp;y,&nbsp;values[,&nbsp;...])</td>
 <td>Compute a bidimensional binned statistic for a set of data.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.binned_statistic_dd.html#scipy.stats.binned_statistic_dd" title="scipy.stats.binned_statistic_dd"><tt class="xref py py-obj docutils literal"><span class="pre">binned_statistic_dd</span></tt></a>(sample,&nbsp;values[,&nbsp;...])</td>
 <td>Compute a multidimensional binned statistic for a set of data.</td>
 </tr>
 </tbody>
 </table>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.obrientransform.html#scipy.stats.obrientransform" title="scipy.stats.obrientransform"><tt class="xref py py-obj docutils literal"><span class="pre">obrientransform</span></tt></a>(*args)</td>
 <td>Computes the O&#8217;Brien transform on input data (any number of arrays).</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.signaltonoise.html#scipy.stats.signaltonoise" title="scipy.stats.signaltonoise"><tt class="xref py py-obj docutils literal"><span class="pre">signaltonoise</span></tt></a>(*args,&nbsp;**kwds)</td>
 <td><a class="reference internal" href="generated/scipy.stats.signaltonoise.html#scipy.stats.signaltonoise" title="scipy.stats.signaltonoise"><tt class="xref py py-obj docutils literal"><span class="pre">signaltonoise</span></tt></a> is deprecated!</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.bayes_mvs.html#scipy.stats.bayes_mvs" title="scipy.stats.bayes_mvs"><tt class="xref py py-obj docutils literal"><span class="pre">bayes_mvs</span></tt></a>(data[,&nbsp;alpha])</td>
 <td>Bayesian confidence intervals for the mean, var, and std.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.mvsdist.html#scipy.stats.mvsdist" title="scipy.stats.mvsdist"><tt class="xref py py-obj docutils literal"><span class="pre">mvsdist</span></tt></a>(data)</td>
 <td>&#8216;Frozen&#8217; distributions for mean, variance, and standard deviation of data.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.sem.html#scipy.stats.sem" title="scipy.stats.sem"><tt class="xref py py-obj docutils literal"><span class="pre">sem</span></tt></a>(a[,&nbsp;axis,&nbsp;ddof])</td>
 <td>Calculates the standard error of the mean (or standard error of measurement) of the values in the input array.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.zmap.html#scipy.stats.zmap" title="scipy.stats.zmap"><tt class="xref py py-obj docutils literal"><span class="pre">zmap</span></tt></a>(scores,&nbsp;compare[,&nbsp;axis,&nbsp;ddof])</td>
 <td>Calculates the relative z-scores.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.zscore.html#scipy.stats.zscore" title="scipy.stats.zscore"><tt class="xref py py-obj docutils literal"><span class="pre">zscore</span></tt></a>(a[,&nbsp;axis,&nbsp;ddof])</td>
 <td>Calculates the z score of each value in the sample, relative to the sample mean and standard deviation.</td>
 </tr>
 </tbody>
 </table>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.sigmaclip.html#scipy.stats.sigmaclip" title="scipy.stats.sigmaclip"><tt class="xref py py-obj docutils literal"><span class="pre">sigmaclip</span></tt></a>(a[,&nbsp;low,&nbsp;high])</td>
 <td>Iterative sigma-clipping of array elements.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.threshold.html#scipy.stats.threshold" title="scipy.stats.threshold"><tt class="xref py py-obj docutils literal"><span class="pre">threshold</span></tt></a>(a[,&nbsp;threshmin,&nbsp;threshmax,&nbsp;newval])</td>
 <td>Clip array to a given value.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.trimboth.html#scipy.stats.trimboth" title="scipy.stats.trimboth"><tt class="xref py py-obj docutils literal"><span class="pre">trimboth</span></tt></a>(a,&nbsp;proportiontocut[,&nbsp;axis])</td>
 <td>Slices off a proportion of items from both ends of an array.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.trim1.html#scipy.stats.trim1" title="scipy.stats.trim1"><tt class="xref py py-obj docutils literal"><span class="pre">trim1</span></tt></a>(a,&nbsp;proportiontocut[,&nbsp;tail])</td>
 <td>Slices off a proportion of items from ONE end of the passed array distribution.</td>
 </tr>
 </tbody>
 </table>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.f_oneway.html#scipy.stats.f_oneway" title="scipy.stats.f_oneway"><tt class="xref py py-obj docutils literal"><span class="pre">f_oneway</span></tt></a>(*args)</td>
 <td>Performs a 1-way ANOVA.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.pearsonr.html#scipy.stats.pearsonr" title="scipy.stats.pearsonr"><tt class="xref py py-obj docutils literal"><span class="pre">pearsonr</span></tt></a>(x,&nbsp;y)</td>
 <td>Calculates a Pearson correlation coefficient and the p-value for testing non-correlation.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.spearmanr.html#scipy.stats.spearmanr" title="scipy.stats.spearmanr"><tt class="xref py py-obj docutils literal"><span class="pre">spearmanr</span></tt></a>(a[,&nbsp;b,&nbsp;axis])</td>
 <td>Calculates a Spearman rank-order correlation coefficient and the p-value to test for non-correlation.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.pointbiserialr.html#scipy.stats.pointbiserialr" title="scipy.stats.pointbiserialr"><tt class="xref py py-obj docutils literal"><span class="pre">pointbiserialr</span></tt></a>(x,&nbsp;y)</td>
 <td>Calculates a point biserial correlation coefficient and the associated p-value.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.kendalltau.html#scipy.stats.kendalltau" title="scipy.stats.kendalltau"><tt class="xref py py-obj docutils literal"><span class="pre">kendalltau</span></tt></a>(x,&nbsp;y[,&nbsp;initial_lexsort])</td>
 <td>Calculates Kendall&#8217;s tau, a correlation measure for ordinal data.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.linregress.html#scipy.stats.linregress" title="scipy.stats.linregress"><tt class="xref py py-obj docutils literal"><span class="pre">linregress</span></tt></a>(x[,&nbsp;y])</td>
 <td>Calculate a regression line</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.theilslopes.html#scipy.stats.theilslopes" title="scipy.stats.theilslopes"><tt class="xref py py-obj docutils literal"><span class="pre">theilslopes</span></tt></a>(y[,&nbsp;x,&nbsp;alpha])</td>
 <td>Computes the Theil-Sen estimator for a set of points (x, y).</td>
 </tr>
 </tbody>
 </table>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.ttest_1samp.html#scipy.stats.ttest_1samp" title="scipy.stats.ttest_1samp"><tt class="xref py py-obj docutils literal"><span class="pre">ttest_1samp</span></tt></a>(a,&nbsp;popmean[,&nbsp;axis])</td>
 <td>Calculates the T-test for the mean of ONE group of scores.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.ttest_ind.html#scipy.stats.ttest_ind" title="scipy.stats.ttest_ind"><tt class="xref py py-obj docutils literal"><span class="pre">ttest_ind</span></tt></a>(a,&nbsp;b[,&nbsp;axis,&nbsp;equal_var])</td>
 <td>Calculates the T-test for the means of TWO INDEPENDENT samples of scores.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.ttest_ind_from_stats.html#scipy.stats.ttest_ind_from_stats" title="scipy.stats.ttest_ind_from_stats"><tt class="xref py py-obj docutils literal"><span class="pre">ttest_ind_from_stats</span></tt></a>(mean1,&nbsp;std1,&nbsp;nobs1,&nbsp;...)</td>
 <td>T-test for means of two independent samples from descriptive statistics.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.ttest_rel.html#scipy.stats.ttest_rel" title="scipy.stats.ttest_rel"><tt class="xref py py-obj docutils literal"><span class="pre">ttest_rel</span></tt></a>(a,&nbsp;b[,&nbsp;axis])</td>
 <td>Calculates the T-test on TWO RELATED samples of scores, a and b.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.kstest.html#scipy.stats.kstest" title="scipy.stats.kstest"><tt class="xref py py-obj docutils literal"><span class="pre">kstest</span></tt></a>(rvs,&nbsp;cdf[,&nbsp;args,&nbsp;N,&nbsp;alternative,&nbsp;mode])</td>
 <td>Perform the Kolmogorov-Smirnov test for goodness of fit.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.chisquare.html#scipy.stats.chisquare" title="scipy.stats.chisquare"><tt class="xref py py-obj docutils literal"><span class="pre">chisquare</span></tt></a>(f_obs[,&nbsp;f_exp,&nbsp;ddof,&nbsp;axis])</td>
 <td>Calculates a one-way chi square test.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.power_divergence.html#scipy.stats.power_divergence" title="scipy.stats.power_divergence"><tt class="xref py py-obj docutils literal"><span class="pre">power_divergence</span></tt></a>(f_obs[,&nbsp;f_exp,&nbsp;ddof,&nbsp;axis,&nbsp;...])</td>
 <td>Cressie-Read power divergence statistic and goodness of fit test.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.ks_2samp.html#scipy.stats.ks_2samp" title="scipy.stats.ks_2samp"><tt class="xref py py-obj docutils literal"><span class="pre">ks_2samp</span></tt></a>(data1,&nbsp;data2)</td>
 <td>Computes the Kolmogorov-Smirnov statistic on 2 samples.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.mannwhitneyu.html#scipy.stats.mannwhitneyu" title="scipy.stats.mannwhitneyu"><tt class="xref py py-obj docutils literal"><span class="pre">mannwhitneyu</span></tt></a>(x,&nbsp;y[,&nbsp;use_continuity])</td>
 <td>Computes the Mann-Whitney rank test on samples x and y.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.tiecorrect.html#scipy.stats.tiecorrect" title="scipy.stats.tiecorrect"><tt class="xref py py-obj docutils literal"><span class="pre">tiecorrect</span></tt></a>(rankvals)</td>
 <td>Tie correction factor for ties in the Mann-Whitney U and Kruskal-Wallis H tests.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.rankdata.html#scipy.stats.rankdata" title="scipy.stats.rankdata"><tt class="xref py py-obj docutils literal"><span class="pre">rankdata</span></tt></a>(a[,&nbsp;method])</td>
 <td>Assign ranks to data, dealing with ties appropriately.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.ranksums.html#scipy.stats.ranksums" title="scipy.stats.ranksums"><tt class="xref py py-obj docutils literal"><span class="pre">ranksums</span></tt></a>(x,&nbsp;y)</td>
 <td>Compute the Wilcoxon rank-sum statistic for two samples.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.wilcoxon.html#scipy.stats.wilcoxon" title="scipy.stats.wilcoxon"><tt class="xref py py-obj docutils literal"><span class="pre">wilcoxon</span></tt></a>(x[,&nbsp;y,&nbsp;zero_method,&nbsp;correction])</td>
 <td>Calculate the Wilcoxon signed-rank test.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.kruskal.html#scipy.stats.kruskal" title="scipy.stats.kruskal"><tt class="xref py py-obj docutils literal"><span class="pre">kruskal</span></tt></a>(*args)</td>
 <td>Compute the Kruskal-Wallis H-test for independent samples</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.friedmanchisquare.html#scipy.stats.friedmanchisquare" title="scipy.stats.friedmanchisquare"><tt class="xref py py-obj docutils literal"><span class="pre">friedmanchisquare</span></tt></a>(*args)</td>
 <td>Computes the Friedman test for repeated measurements</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.combine_pvalues.html#scipy.stats.combine_pvalues" title="scipy.stats.combine_pvalues"><tt class="xref py py-obj docutils literal"><span class="pre">combine_pvalues</span></tt></a>(pvalues[,&nbsp;method,&nbsp;weights])</td>
 <td>Methods for combining the p-values of independent tests bearing upon the same hypothesis.</td>
 </tr>
 </tbody>
 </table>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.ansari.html#scipy.stats.ansari" title="scipy.stats.ansari"><tt class="xref py py-obj docutils literal"><span class="pre">ansari</span></tt></a>(x,&nbsp;y)</td>
 <td>Perform the Ansari-Bradley test for equal scale parameters</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.bartlett.html#scipy.stats.bartlett" title="scipy.stats.bartlett"><tt class="xref py py-obj docutils literal"><span class="pre">bartlett</span></tt></a>(*args)</td>
 <td>Perform Bartlett&#8217;s test for equal variances</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.levene.html#scipy.stats.levene" title="scipy.stats.levene"><tt class="xref py py-obj docutils literal"><span class="pre">levene</span></tt></a>(*args,&nbsp;**kwds)</td>
 <td>Perform Levene test for equal variances.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.shapiro.html#scipy.stats.shapiro" title="scipy.stats.shapiro"><tt class="xref py py-obj docutils literal"><span class="pre">shapiro</span></tt></a>(x[,&nbsp;a,&nbsp;reta])</td>
 <td>Perform the Shapiro-Wilk test for normality.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.anderson.html#scipy.stats.anderson" title="scipy.stats.anderson"><tt class="xref py py-obj docutils literal"><span class="pre">anderson</span></tt></a>(x[,&nbsp;dist])</td>
 <td>Anderson-Darling test for data coming from a particular distribution</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.anderson_ksamp.html#scipy.stats.anderson_ksamp" title="scipy.stats.anderson_ksamp"><tt class="xref py py-obj docutils literal"><span class="pre">anderson_ksamp</span></tt></a>(samples[,&nbsp;midrank])</td>
 <td>The Anderson-Darling test for k-samples.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.binom_test.html#scipy.stats.binom_test" title="scipy.stats.binom_test"><tt class="xref py py-obj docutils literal"><span class="pre">binom_test</span></tt></a>(x[,&nbsp;n,&nbsp;p])</td>
 <td>Perform a test that the probability of success is p.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.fligner.html#scipy.stats.fligner" title="scipy.stats.fligner"><tt class="xref py py-obj docutils literal"><span class="pre">fligner</span></tt></a>(*args,&nbsp;**kwds)</td>
 <td>Perform Fligner&#8217;s test for equal variances.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.median_test.html#scipy.stats.median_test" title="scipy.stats.median_test"><tt class="xref py py-obj docutils literal"><span class="pre">median_test</span></tt></a>(*args,&nbsp;**kwds)</td>
 <td>Mood&#8217;s median test.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.mood.html#scipy.stats.mood" title="scipy.stats.mood"><tt class="xref py py-obj docutils literal"><span class="pre">mood</span></tt></a>(x,&nbsp;y[,&nbsp;axis])</td>
 <td>Perform Mood&#8217;s test for equal scale parameters.</td>
 </tr>
 </tbody>
 </table>
 <table border="1" class="longtable docutils">
 <colgroup>
 <col width="10%" />
 <col width="90%" />
 </colgroup>
 <tbody valign="top">
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.boxcox.html#scipy.stats.boxcox" title="scipy.stats.boxcox"><tt class="xref py py-obj docutils literal"><span class="pre">boxcox</span></tt></a>(x[,&nbsp;lmbda,&nbsp;alpha])</td>
 <td>Return a positive dataset transformed by a Box-Cox power transformation.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.boxcox_normmax.html#scipy.stats.boxcox_normmax" title="scipy.stats.boxcox_normmax"><tt class="xref py py-obj docutils literal"><span class="pre">boxcox_normmax</span></tt></a>(x[,&nbsp;brack,&nbsp;method])</td>
 <td>Compute optimal Box-Cox transform parameter for input data.</td>
 </tr>
 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.boxcox_llf.html#scipy.stats.boxcox_llf" title="scipy.stats.boxcox_llf"><tt class="xref py py-obj docutils literal"><span class="pre">boxcox_llf</span></tt></a>(lmb,&nbsp;data)</td>
 <td>The boxcox log-likelihood function.</td>
 </tr>
 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.entropy.html#scipy.stats.entropy" title="scipy.stats.entropy"><tt class="xref py py-obj docutils literal"><span class="pre">entropy</span></tt></a>(pk[,&nbsp;qk,&nbsp;base])</td>
 <td>Calculate the entropy of a distribution for given probability values.</td>
 </tr>
 </tbody>
 </table>
 </div>
 <div class="section" id="circular-statistical-functions">
 <h2>Circular statistical functions<a class="headerlink" href="#circular-statistical-functions" title="Permalink to this headline">¶</a></h2>
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 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.circmean.html#scipy.stats.circmean" title="scipy.stats.circmean"><tt class="xref py py-obj docutils literal"><span class="pre">circmean</span></tt></a>(samples[,&nbsp;high,&nbsp;low,&nbsp;axis])</td>
 <td>Compute the circular mean for samples in a range.</td>
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 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.circvar.html#scipy.stats.circvar" title="scipy.stats.circvar"><tt class="xref py py-obj docutils literal"><span class="pre">circvar</span></tt></a>(samples[,&nbsp;high,&nbsp;low,&nbsp;axis])</td>
 <td>Compute the circular variance for samples assumed to be in a range</td>
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 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.circstd.html#scipy.stats.circstd" title="scipy.stats.circstd"><tt class="xref py py-obj docutils literal"><span class="pre">circstd</span></tt></a>(samples[,&nbsp;high,&nbsp;low,&nbsp;axis])</td>
 <td>Compute the circular standard deviation for samples assumed to be in the range [low to high].</td>
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 </div>
 <div class="section" id="contingency-table-functions">
 <h2>Contingency table functions<a class="headerlink" href="#contingency-table-functions" title="Permalink to this headline">¶</a></h2>
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 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.chi2_contingency.html#scipy.stats.chi2_contingency" title="scipy.stats.chi2_contingency"><tt class="xref py py-obj docutils literal"><span class="pre">chi2_contingency</span></tt></a>(observed[,&nbsp;correction,&nbsp;<a href="#id1"><span class="problematic" id="id2">lambda_</span></a>])</td>
 <td>Chi-square test of independence of variables in a contingency table.</td>
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 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.contingency.expected_freq.html#scipy.stats.contingency.expected_freq" title="scipy.stats.contingency.expected_freq"><tt class="xref py py-obj docutils literal"><span class="pre">contingency.expected_freq</span></tt></a>(observed)</td>
 <td>Compute the expected frequencies from a contingency table.</td>
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 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.contingency.margins.html#scipy.stats.contingency.margins" title="scipy.stats.contingency.margins"><tt class="xref py py-obj docutils literal"><span class="pre">contingency.margins</span></tt></a>(a)</td>
 <td>Return a list of the marginal sums of the array <em class="xref py py-obj">a</em>.</td>
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 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.fisher_exact.html#scipy.stats.fisher_exact" title="scipy.stats.fisher_exact"><tt class="xref py py-obj docutils literal"><span class="pre">fisher_exact</span></tt></a>(table[,&nbsp;alternative])</td>
 <td>Performs a Fisher exact test on a 2x2 contingency table.</td>
 </tr>
 </tbody>
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 </div>
 <div class="section" id="plot-tests">
 <h2>Plot-tests<a class="headerlink" href="#plot-tests" title="Permalink to this headline">¶</a></h2>
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 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.ppcc_max.html#scipy.stats.ppcc_max" title="scipy.stats.ppcc_max"><tt class="xref py py-obj docutils literal"><span class="pre">ppcc_max</span></tt></a>(x[,&nbsp;brack,&nbsp;dist])</td>
 <td>Returns the shape parameter that maximizes the probability plot correlation coefficient for the given data to a one-parameter family of distributions.</td>
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 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.ppcc_plot.html#scipy.stats.ppcc_plot" title="scipy.stats.ppcc_plot"><tt class="xref py py-obj docutils literal"><span class="pre">ppcc_plot</span></tt></a>(x,&nbsp;a,&nbsp;b[,&nbsp;dist,&nbsp;plot,&nbsp;N])</td>
 <td>Calculate and optionally plot probability plot correlation coefficient.</td>
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 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.probplot.html#scipy.stats.probplot" title="scipy.stats.probplot"><tt class="xref py py-obj docutils literal"><span class="pre">probplot</span></tt></a>(x[,&nbsp;sparams,&nbsp;dist,&nbsp;fit,&nbsp;plot])</td>
 <td>Calculate quantiles for a probability plot, and optionally show the plot.</td>
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 <tr class="row-even"><td><a class="reference internal" href="generated/scipy.stats.boxcox_normplot.html#scipy.stats.boxcox_normplot" title="scipy.stats.boxcox_normplot"><tt class="xref py py-obj docutils literal"><span class="pre">boxcox_normplot</span></tt></a>(x,&nbsp;la,&nbsp;lb[,&nbsp;plot,&nbsp;N])</td>
 <td>Compute parameters for a Box-Cox normality plot, optionally show it.</td>
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 </div>
 <div class="section" id="masked-statistics-functions">
 <h2>Masked statistics functions<a class="headerlink" href="#masked-statistics-functions" title="Permalink to this headline">¶</a></h2>
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 <div class="section" id="univariate-and-multivariate-kernel-density-estimation-scipy-stats-kde">
 <h2>Univariate and multivariate kernel density estimation (<tt class="xref py py-mod docutils literal"><span class="pre">scipy.stats.kde</span></tt>)<a class="headerlink" href="#univariate-and-multivariate-kernel-density-estimation-scipy-stats-kde" title="Permalink to this headline">¶</a></h2>
 <table border="1" class="longtable docutils">
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 <tr class="row-odd"><td><a class="reference internal" href="generated/scipy.stats.gaussian_kde.html#scipy.stats.gaussian_kde" title="scipy.stats.gaussian_kde"><tt class="xref py py-obj docutils literal"><span class="pre">gaussian_kde</span></tt></a>(dataset[,&nbsp;bw_method])</td>
 <td>Representation of a kernel-density estimate using Gaussian kernels.</td>
 </tr>
 </tbody>
 </table>
 <p>For many more stat related functions install the software R and the
 interface package rpy.</p>
 </div>
 </div>
 <div class="toctree-wrapper compound">
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