.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        Click :ref:`here <sphx_glr_download_auto_data_analysis_statistical_hypothesis_testing_plot_qqplot_graph.py>`     to download the full example code
    .. rst-class:: sphx-glr-example-title

    .. _sphx_glr_auto_data_analysis_statistical_hypothesis_testing_plot_qqplot_graph.py:


Distribution fitting test using QQ plot
=======================================

In this example we are going to perform a visual goodness-of-fit test for an 1-d distribution with the QQ plot.


.. code-block:: default

    from __future__ import print_function
    import openturns as ot
    import openturns.viewer as viewer
    from matplotlib import pylab as plt
    ot.Log.Show(ot.Log.NONE)








Create data


.. code-block:: default

    ot.RandomGenerator.SetSeed(0)
    distribution = ot.Gumbel(0.2, 0.5)
    sample = distribution.getSample(100)
    sample.setDescription(['Sample'])








Fit a distribution


.. code-block:: default

    distribution = ot.GumbelFactory().build(sample)








Draw QQ plot


.. code-block:: default

    graph = ot.VisualTest.DrawQQplot(sample, distribution)
    view = viewer.View(graph)




.. image:: /auto_data_analysis/statistical_hypothesis_testing/images/sphx_glr_plot_qqplot_graph_001.png
    :alt: Sample versus model QQ-plot
    :class: sphx-glr-single-img





Incorrect proposition


.. code-block:: default

    graph = ot.VisualTest.DrawQQplot(sample, ot.WeibullMin())
    view = viewer.View(graph)
    plt.show()



.. image:: /auto_data_analysis/statistical_hypothesis_testing/images/sphx_glr_plot_qqplot_graph_002.png
    :alt: Sample versus model QQ-plot
    :class: sphx-glr-single-img






.. rst-class:: sphx-glr-timing

   **Total running time of the script:** ( 0 minutes  0.173 seconds)


.. _sphx_glr_download_auto_data_analysis_statistical_hypothesis_testing_plot_qqplot_graph.py:


.. only :: html

 .. container:: sphx-glr-footer
    :class: sphx-glr-footer-example



  .. container:: sphx-glr-download sphx-glr-download-python

     :download:`Download Python source code: plot_qqplot_graph.py <plot_qqplot_graph.py>`



  .. container:: sphx-glr-download sphx-glr-download-jupyter

     :download:`Download Jupyter notebook: plot_qqplot_graph.ipynb <plot_qqplot_graph.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_