=========
Runs Test
=========
:doc:`/WorkProcessClassifiers/GlobalAlgorithm/index` - :doc:`/WorkProcessClassifiers/OneDimensionalAlgorithm/index`

*Runs Test* algorithm is a statistical method that is useful for the detection of underlying trends in data.

.. rubric:: Input Parameters

+--------------------+--------------------------------------------+----------------------------------------+------------------------------------------------+---------+
| Parameter          | Type                                       | Constraint                             | Description                                    | Remarks |
+====================+============================================+========================================+================================================+=========+
| :math:`Y`          | :math:`Y \in \mathbb R^N`                  | :math:`N \in \mathbb{N}`               | Input data vector of length :math:`N`          |         |
+--------------------+--------------------------------------------+----------------------------------------+------------------------------------------------+---------+

.. rubric:: Output Parameters

+--------------------+----------------------------------+------------+-------------+---------+
| Parameter          | Type                             | Constraint | Description | Remarks |
+====================+==================================+============+=============+=========+
| :math:`h`          | Logical data type: true or false |            |             |         |
+--------------------+----------------------------------+------------+-------------+---------+

.. rubric:: Tool Support

* :doc:`/Tools/MatlabTool/index`

  For details refer to the online documentation of the function `'runstest' <http://www.mathworks.de/help/toolbox/stats/runstest.html>`__.

.. rubric:: Single Steps using the Algorithm

* :doc:`/DataPreprocessing/MathematicalComputation/HandlingDataStationarity/TestingDataStationarityWithRunsTest/index`

.. rubric:: References

- J.S.\  Bendat, A.G. Piersol, Random Data: Analysis and Measurement Procedures, 3rd ed., Wiley-Interscience, 2000.