Say C1 has average 0.8 but only 1 member (excluding centroid) , and C2 has average 0.7 with 5 members, we would weight C2 as better than C1.

The problem is, you aren't specifying how you are scoring that.

  1. If you go for the highest average (as I was) then 0.8*1/1 > 0.7 *5/5.
  2. If you go for the highest score, which makes 3.5 beat 0.8, then you will never remove anything from the set because it would reduce the (total) score.

Put another way:

Unless you introduce some other metric or heuristic, you don't have a scoring mechanism that reflects your stated goals?

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
"Too many [] have been sedated by an oppressive environment of political correctness and risk aversion."

In reply to Re^3: Finding The Best Cluster Problem by BrowserUk
in thread Finding The Best Cluster Problem by neversaint

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