.. _sphx_glr_api_gallery_statistics_nonparametric:

Nonparametric tests
-------------------

The Kolmogorov-Smirnov test and the Wilcoxon and Mann-Whitney rank tests.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="Draws a sample from a Student t distribution with 3 degrees of freedom and compares its empirical CDF with the standard normal CDF. The KS statistic is the largest vertical gap between the two curves.">

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  .. image:: /api/gallery/statistics/nonparametric/images/thumb/sphx_glr_plot_01_kolmogorov_smirnov_thumb.png
    :alt:

  :doc:`/api/gallery/statistics/nonparametric/plot_01_kolmogorov_smirnov`

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      <div class="sphx-glr-thumbnail-title">The Kolmogorov-Smirnov test</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Rank tests throw away the raw values and keep only their order, so a few extreme observations cannot dominate. With heavy-tailed data they detect a shift that the t-test misses.">

.. only:: html

  .. image:: /api/gallery/statistics/nonparametric/images/thumb/sphx_glr_plot_02_wilcoxon_mann_whitney_thumb.png
    :alt:

  :doc:`/api/gallery/statistics/nonparametric/plot_02_wilcoxon_mann_whitney`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Wilcoxon and Mann-Whitney rank tests</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /api/gallery/statistics/nonparametric/plot_01_kolmogorov_smirnov
   /api/gallery/statistics/nonparametric/plot_02_wilcoxon_mann_whitney