============ Trimmed Mean ============ :doc:`/WorkProcessClassifiers/GlobalAlgorithm/index` - :doc:`/WorkProcessClassifiers/OneDimensionalAlgorithm/index` *Trimmed Mean* algorithm chops off values at the high and low extremes and applies the *Mean* algorithm to the remaining observations. In this way, the effect caused by a small number of extreme values can be offsetted. .. 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` | | +--------------------+--------------------------------------------+--------------------------------------------+----------------------------------------------------+---------+ | :math:`p` | :math:`p \in \mathbb R` | :math:`0\% \lt p \lt 50\%` | Percentage of high and low extremes to be trimmed | | +--------------------+--------------------------------------------+--------------------------------------------+----------------------------------------------------+---------+ .. rubric:: Output Parameters +------------------------+--------------------------------------------+------------+-----------------------------------------------+-------------------------------------------------------------------------------+ | Parameter | Type | Constraint | Description | Remarks | +========================+============================================+============+===============================================+===============================================================================+ | :math:`\mu` | :math:`\mu \in \mathbb R` | | Trimmed mean value of data :math:`Y` | The result is sensitive to improper values such as 'nan', 'inf', 'null', etc. | +------------------------+--------------------------------------------+------------+-----------------------------------------------+-------------------------------------------------------------------------------+ .. rubric:: Tool Support * :doc:`/Tools/ExcelTool/index` For details refer to the online documentation of the function `'TRIMMEAN' `__. * :doc:`/Tools/MatlabTool/index` For details refer to the online documentation of the function `'trimmean' `__. .. rubric:: Single Steps using the Algorithm * :doc:`/DataPreprocessing/MathematicalComputation/ComputingTrimmedMeanValueWithTrimmedMean/index` * :doc:`/DataPreprocessing/DataCleaning/OutlierDetection/OutlierDetectionWithTrimmedMean/index` * :doc:`/DataPreprocessing/DataCleaning/HandlingImproperValues/ReconstructingImproperValues/ReconstructingImproperValuesWithLocalCenteredMovingTrimmedMean/index`