Documentation and Faq how are T contributions calculated: Difference between pages

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(Created page with "===Issue:=== How are T-contributions calculated? ===Possible Solutions:=== In PCA, T-contributions represent how the original variables contribute to give each sample its T...")
 
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PLS_Toolbox documentation is contained in various documents including:
===Issue:===
* Chemometrics Tutorial - a tutorial explaining multivariate analysis and demonstrating the analysis of data using PLS_Toolbox and Solo. Note the demonstration portions of this document use older versions of PLS_Toolbox/Solo. For the latest software documentation use the wiki sited below.
:: '''Matlab command:'''  pls_toolboxhelp
* PLS_Toolbox Reference Manual - a static version of our on-line Wiki documentation on all functions (these documents). The live, continuously updated version of these documents is available on-line from our website: [http://wiki.eigenvector.com/ Eigenvector Research Software Documentation]
::'''Matlab command:'''  helppls
* DataSet Object Manual - a technical description of the DataSet Object (see also the PLS_Toolbox Manual). This document is also available on-line from our website: [http://software.eigenvector.com/DataSet/DataObject500.pdf DataSet Object Manual]
:: '''Matlab command:'''  pls_toolboxhelp dso


The PDF documents require the Adobe Acrobat PDF Reader which can be [http://www.adobe.com/products/acrobat/readermain.html downloaded FREE from the Internet].
How are T-contributions calculated?
 
(Sub topic of [[Getting_Started_Documentation_and_Help|Getting Started Documentation and Help]])
===Possible Solutions:===
 
In PCA, T-contributions represent how the original variables contribute to give each sample its T^2 value in a given model. They are calculated as if you are reconstructing the data (relative to the mean of the calibration data) except that each factor is first normalized by the variance it captured in the original data. This gives the reconstruction of the data as if all principal components captured equal amounts of variance in the original data. In other words: this is how the original variables project into the normalized multivariate space of the model.  
 
To calculate the T-contributions for a given sample in a PLS_Toolbox PCA model, use the tconcalc function. Given the sample's data in variable data and the model in variable model, the following will calculate T-contributions.  
 
[[Category:FAQ]]

Revision as of 08:57, 21 November 2018

Issue:

How are T-contributions calculated?

Possible Solutions:

In PCA, T-contributions represent how the original variables contribute to give each sample its T^2 value in a given model. They are calculated as if you are reconstructing the data (relative to the mean of the calibration data) except that each factor is first normalized by the variance it captured in the original data. This gives the reconstruction of the data as if all principal components captured equal amounts of variance in the original data. In other words: this is how the original variables project into the normalized multivariate space of the model.

To calculate the T-contributions for a given sample in a PLS_Toolbox PCA model, use the tconcalc function. Given the sample's data in variable data and the model in variable model, the following will calculate T-contributions.