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Statistic Column Sort Order

Shaun J. Stuart points out an inconsistency in display order for columns on a statistic:

What’s going on? Why are the columns in the statistic not in the same order as the columns in the index? Well, it turns out, they are. If we look on the Details page, we see the density vector is, in fact, created as Col2, Col1, Col3, which is the order of the columns in the index:

Read the whole thing to avoid confusion next time you look at the statistics GUI.