After clustering my data into k groups, I would like to determine for each of the clusters, which dimensions(variables) significantly describe that particular cluster. For example, lets say cluster A contains a majority of people from one age group purchasing a vehicle from particular segment. Cluster B contains people belonging to various age groups but majorly from one or two regions (out of 10-15 regions).
Hypothesis: Using entropy, determine for each cluster, which variables are homogeneous and use those variables to create a definition for that cluster by computing the mode (or some other descriptive statistic). For example,
Cluster A: Customers of 30-40yrs age group, purchasing vehicles from segment C1, etc
Cluster B: Customers from region R1, earning 30K-40K per annum, etc
Are there any pitfalls of using this technique?
