*Group Profile *

Profile of the group *i*, also called the *barycenter* of the group, is a vector *P *_{i} :

and in the case of standardized data, it becomes

where is the mean of the variable *x*_{v}
for the cases belonging to the group *i** *and
*S*_{v} is the overall standard deviation
of this variable.

*City block distance*

*Euclidean distance*

*Chi-square distance*

where

Moreover, the program provides a possibility of using "weighted" distance, called Displacement, which is defined as follows:

The program starts using an initial classification variable defined *a
priori*, or a random sample of cases or a stepwise sample of cases, which
constitute the initial core of the groups. An iterative procedure refines the
results by stabilizing the cores. The final group constitutes the categories of
the classification variable. The number of typology groups may be reduced using
an algorithm of hierarchical ascending classification