I'm looking at performing k-means clustering on a dataset with 5 continuous variables. The clusters that I find however, look very similar except in one dimension e.g
cluster 1 : low avg income, low avg age ,high number of transactions
cluster 2: low avg income, low avg age, low number of transactions
cluster 3: high avg income, low avg age, low number of transactions
The "low avg age" for example, is different but in the same ballpark in each cluster, can I use a statistical test to test which ones are significantly different from each other?
If I wanted to compare the mean of another variable e.g. debt (£) (not used for clustering), does it make sense to use a t-test (or possibly something else) to test for significant difference in this variable between clusters?
I hope this makes sense.