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For unsupervised classification purposes using several variables, I need to categorize one continuous variable into two classes, particularly, using Z-scores. The issue is that the continuous data need to be aggregated at a coarser scale (the unit of the classification). I understand the limitations of both categorization and aggregation, especially the high risk of information loss, but I am wondering what a better option can be if I have to choose between:

  1. First aggregate the data points (e.g. using the mean value), then categorize the spatially aggregated data into two classes; or
  2. First categorize the original data points into two classes, then aggregate the categorized data (in this case using the majority). I have applied both procedures and the difference is minor, however, this minor difference can significantly change the final classification results (when using all the other variables)

Thanks

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