.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_reliability_sensitivity/design_of_experiments/plot_create_random_doe.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        Click :ref:`here <sphx_glr_download_auto_reliability_sensitivity_design_of_experiments_plot_create_random_doe.py>`
        to download the full example code

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

.. _sphx_glr_auto_reliability_sensitivity_design_of_experiments_plot_create_random_doe.py:


Create a random design of experiments
=====================================

.. GENERATED FROM PYTHON SOURCE LINES 6-10

Abstract
--------

Random designs of experiments can be generated from probability distributions.

.. GENERATED FROM PYTHON SOURCE LINES 12-19

.. code-block:: default

    import openturns as ot
    import openturns.viewer as viewer
    import math as m
    from matplotlib import pylab as plt
    ot.Log.Show(ot.Log.NONE)









.. GENERATED FROM PYTHON SOURCE LINES 20-21

We create the underlying distribution: a standard 2-dimensional normal distribution.

.. GENERATED FROM PYTHON SOURCE LINES 21-24

.. code-block:: default

    distribution = ot.Normal(2)
    size = 50








.. GENERATED FROM PYTHON SOURCE LINES 25-29

The Monte Carlo design of experiments
-------------------------------------

We build the experiment  with the :class:`~openturns.MonteCarloExperiment` class :

.. GENERATED FROM PYTHON SOURCE LINES 29-32

.. code-block:: default

    experiment = ot.MonteCarloExperiment(distribution, size)
    sample = experiment.generate()








.. GENERATED FROM PYTHON SOURCE LINES 33-34

We draw the design of experiments as a :class:`~openturns.Cloud`

.. GENERATED FROM PYTHON SOURCE LINES 34-39

.. code-block:: default

    graph = ot.Graph("Monte Carlo design", r"$x_1$", r"$x_2$", True, "")
    cloud = ot.Cloud(sample, "blue", "fsquare", "")
    graph.add(cloud)
    view = viewer.View(graph)




.. image-sg:: /auto_reliability_sensitivity/design_of_experiments/images/sphx_glr_plot_create_random_doe_001.png
   :alt: Monte Carlo design
   :srcset: /auto_reliability_sensitivity/design_of_experiments/images/sphx_glr_plot_create_random_doe_001.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 40-44

Latin Hypercube Sampling
------------------------

We build the LHS design of experiments with the :class:`~openturns.LHSExperiment` class :

.. GENERATED FROM PYTHON SOURCE LINES 44-47

.. code-block:: default

    experiment = ot.LHSExperiment(distribution, size)
    sample = experiment.generate()








.. GENERATED FROM PYTHON SOURCE LINES 48-49

We draw the LHS design of experiments as a cloud :

.. GENERATED FROM PYTHON SOURCE LINES 49-54

.. code-block:: default

    graph = ot.Graph("LHS design", r"$x_1$", r"$x_2$", True, "")
    cloud = ot.Cloud(sample, "blue", "fsquare", "")
    graph.add(cloud)
    view = viewer.View(graph)




.. image-sg:: /auto_reliability_sensitivity/design_of_experiments/images/sphx_glr_plot_create_random_doe_002.png
   :alt: LHS design
   :srcset: /auto_reliability_sensitivity/design_of_experiments/images/sphx_glr_plot_create_random_doe_002.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 55-56

Display figures

.. GENERATED FROM PYTHON SOURCE LINES 56-57

.. code-block:: default

    plt.show()








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

   **Total running time of the script:** ( 0 minutes  0.124 seconds)


.. _sphx_glr_download_auto_reliability_sensitivity_design_of_experiments_plot_create_random_doe.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_create_random_doe.py <plot_create_random_doe.py>`



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

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


.. only:: html

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

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