Timeline for Can a z-score be used to describe a cluster's homogeneity?
Current License: CC BY-SA 3.0
10 events
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| Sep 6, 2017 at 16:01 | comment | added | user78229 | Yeah. It sounds like your underlying assumptions are information theoretic. One possible metric can be found in Marina Meila, Comparing Clusterings, University of Washington Statistics Technical Report 418 and COLT 03 paper...ungated copy here ... stat.washington.edu/mmp/Papers/compare-colt.pdf. Another approach could be Andreas Brandmaier's complexity-based permutation distribution clustering for time series. He has several ungated papers out there and an R module, e.g., here ... jstatsoft.org/article/view/v067i05/v067i05.pdf | |
| Sep 6, 2017 at 13:48 | history | edited | victor_v | CC BY-SA 3.0 |
Inserted missing code
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| Sep 6, 2017 at 13:45 | comment | added | victor_v | @DJohnson You're correct, I was a little vague. I refer to homogeneity of a cluster as the number and quantitiy of different elements in a cluster relative to the number and quantity of elements in the base distribution. Some other metrics I can think of would be e.g. shannon's entropy. The random draws are indeed bootstrapped (I included replace=T in the code). 1,000 random draws were based on this publication pnas.org/content/102/43/15545.full. 5 clusters and 1 predictor was an arbitrary choice. Measuring diffusion is an interesting idea! Can you recommend a good reference? | |
| Sep 6, 2017 at 13:34 | vote | accept | victor_v | ||
| Aug 25, 2017 at 13:23 | answer | added | user77876 | timeline score: 2 | |
| Aug 25, 2017 at 13:12 | comment | added | user78229 | The description of the theoretical process being used to create these 1,000 randomly chosen clusters is unclear. You should define "homogeneity" more explicitly and benchmark results against standard metrics. Are the draws of 20 elements from the same population or data, i.e., are these bootstrapped draws? Why only 1,000 draws? Why not 1,000,000? Why is there only 1 predictor? Are five clusters always the result? Why five? A little more information would help. That said, if the elements in the clusters can be identified or tagged, why not track their diffusion in assignment across the draws? | |
| Aug 25, 2017 at 12:52 | comment | added | victor_v | @user77876 Yes, homogeneity is what I meant to write in the closing paragraph. I edited the wording accordingly. | |
| Aug 25, 2017 at 12:51 | history | edited | victor_v | CC BY-SA 3.0 |
Changed wording
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| Aug 25, 2017 at 10:58 | comment | added | user77876 | Are you trying to use z-score to describe homogeneity or uniqueness? You use different words in the title and in your closing paragraph. | |
| Aug 18, 2017 at 13:09 | history | asked | victor_v | CC BY-SA 3.0 |