.. _sphx_glr_api_gallery_statistics_correlation:

Correlation
-----------

Pearson's product-moment and Spearman's rank correlation coefficients.


.. raw:: html

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


.. raw:: html

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

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Simulates parent and child heights in the spirit of Francis Galton&#x27;s 1880s data: the two are positively correlated, but tall parents have children who are on average less extreme -- &quot;regression toward the mean&quot;. Pearson&#x27;s r measures the strength of that linear relation.">

.. only:: html

  .. image:: /api/gallery/statistics/correlation/images/thumb/sphx_glr_plot_01_galton_pearson_correlation_thumb.png
    :alt:

  :doc:`/api/gallery/statistics/correlation/plot_01_galton_pearson_correlation`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Galton's heights and Pearson's correlation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Spearman&#x27;s rho is Pearson&#x27;s r applied to ranks. It equals 1 for any increasing relationship, however curved, and a single wild outlier barely moves it, while Pearson&#x27;s r can swing a long way.">

.. only:: html

  .. image:: /api/gallery/statistics/correlation/images/thumb/sphx_glr_plot_02_spearman_rank_correlation_thumb.png
    :alt:

  :doc:`/api/gallery/statistics/correlation/plot_02_spearman_rank_correlation`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Spearman's rank correlation</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/statistics/correlation/plot_01_galton_pearson_correlation
   /api/gallery/statistics/correlation/plot_02_spearman_rank_correlation