Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more. 
Home General Processing Steps Data Preprocessing Transformation of the Data Space  
See also: chemical example  
Transformation of the Data Space
An extreme but comprehensible example will demonstrate the idea behind transformation of data space. Suppose you have two classes of objects which are described by three parameters x_{1}, x_{2} and x_{3}. Class 1 forms a cluster having a shape similar to an ellipsoid. The objects of class 2 are all located outside of the ellipsoid. This simple example clearly shows that the transformation of the data
space can ease a given problem considerably. In fact, by knowing that cluster
1 forms an ellipsoid, and introducing some knowledge on analytical geometry,
we transformed the data space in such a way that (1) the number of necessary
variables is decreased and (2) the nonlinear classification task
becomes a linear problem (which is easy to solve using well established
methods).


Home General Processing Steps Data Preprocessing Transformation of the Data Space 
Last Update: 20121008