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Discriminant Analysis Programme

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Discriminant Analysis Programme

by Bartolomeu Rabacal

 

25 Aug 2008 (Updated 20 Nov 2008)

Discrimination and Classification of data to and from groups with classical/robust estimation

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Description

The purpose of Discriminant Analysis Programme (DAP) is to facilitate discrimination and classification of (to be) grouped data with robust estimation- and modeled structures for the covariances in a one-go software. The robust estimation methods are the S-estimator and Donoho-Stahel estimator. The included covariance structure models are Common Principal Components, Proportional, classical Quadratic and Linear ones; Hypothesis Testing is performed for these fitted models except for arbitrary covariances. The Discriminant Rules are found and the Classification Rules Coefficients are computed after the given training data sample and used to classify the classification sample data, if provided. They are also used to find malclassified data elements by Cross-Validation (Leave-One-Out) method of the training sample, being recomputed for each element.
It includes complementary graphical outputs for bivariate data such as normality plots and group separation.

MATLAB release MATLAB 6.5 (R13)
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Updates
20 Nov 2008

The added Discriminant Regions are defined by Separatory Hyperplanes or Hypersurfaces computed by the Discriminant Rules Coefficients. The old Discriminant Rules are now the Classification ones. Improved/corrected graphical plot headers.

Tag Activity for this File
Tag Applied By Date/Time
statistics Bartolomeu Rabacal 22 Oct 2008 10:16:03
classification Bartolomeu Rabacal 22 Oct 2008 10:16:03
discriminant analysis Bartolomeu Rabacal 22 Oct 2008 10:16:03
discrimination Bartolomeu Rabacal 22 Oct 2008 10:16:03
common principal components Bartolomeu Rabacal 20 Nov 2008 13:16:39
multivariate analysis Bartolomeu Rabacal 20 Nov 2008 13:16:39
restricted covariance structures Bartolomeu Rabacal 20 Nov 2008 13:16:40
quadratic discriminant rules Bartolomeu Rabacal 20 Nov 2008 13:16:40
robust estimation Bartolomeu Rabacal 20 Nov 2008 13:16:40

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