.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "api/gallery/statistics/bootstrap/plot_01_bootstrap_vs_parametric.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_api_gallery_statistics_bootstrap_plot_01_bootstrap_vs_parametric.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_api_gallery_statistics_bootstrap_plot_01_bootstrap_vs_parametric.py:


Bootstrap vs. parametric confidence intervals
====================================================

Compares a bootstrap confidence interval for the median (which has no
simple closed form) against the parametric t-based interval for the
mean, on the same skewed dataset.

.. GENERATED FROM PYTHON SOURCE LINES 11-15

.. code-block:: Python

    import numpy as np

    from mathematicskit.statistics import bootstrap_confidence_interval, mean_confidence_interval








.. GENERATED FROM PYTHON SOURCE LINES 16-18

A skewed dataset where the mean and median tell different stories
-------------------------------------------------------------------------

.. GENERATED FROM PYTHON SOURCE LINES 18-27

.. code-block:: Python


    rng = np.random.default_rng(0)
    data = rng.exponential(scale=5.0, size=300)

    mean_result = mean_confidence_interval(data, sigma=None)
    median_result = bootstrap_confidence_interval(data, statistic=np.median, n_resamples=5000, seed=0)

    print(f"mean:   {mean_result.estimate:.3f}, 95% CI ({mean_result.lower:.3f}, {mean_result.upper:.3f})")
    print(f"median: {median_result.estimate:.3f}, 95% CI ({median_result.lower:.3f}, {median_result.upper:.3f})")




.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    mean:   5.793, 95% CI (5.153, 6.433)
    median: 4.006, 95% CI (3.505, 4.804)





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

   **Total running time of the script:** (0 minutes 0.027 seconds)


.. _sphx_glr_download_api_gallery_statistics_bootstrap_plot_01_bootstrap_vs_parametric.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: plot_01_bootstrap_vs_parametric.ipynb <plot_01_bootstrap_vs_parametric.ipynb>`

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

      :download:`Download Python source code: plot_01_bootstrap_vs_parametric.py <plot_01_bootstrap_vs_parametric.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_01_bootstrap_vs_parametric.zip <plot_01_bootstrap_vs_parametric.zip>`


.. only:: html

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

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