optimal number of groups

Calculate the optimal number of groups for a future Kmeans with classical intergoup / intragroup variance simulation. If the maximum number of groups declared <= 2, first calculate the maximum reasonable number of groups (can be very long) using a confirmatory logistic regression or dicriminant analysis for each kmeans simulation and retaining the number of groups generating the maximum leap in accuracy. In that last case the number of groups to span is firstly delimited from 2 to sqrt(nbrows)*3.

Input ports

1. Type: Table
   table with numeric variables

Output ports

1. Type: Table
   optimal number of groups to inject in a Kmeans algorithm