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Is all fun and games until one or two of the extreme remaining values (that are later used to replace the rest) turn out to be an outlier in itself.
by thih9 3y ago
Is all fun and games until one or two of the extreme remaining values (that are later used to replace the rest) turn out to be an outlier in itself.
- munificent 3y agoYes, but by definition they must strictly be less of an outlier than the values they are replacing.
- gnulinux 3y agoRight but it can still pull the "Windsorized mean" to a particular direction. E.g. if your distribution is -99, 1, 1, 1, 1, 1, 2, 2, 2, 98, 99 and you "Windsorize" your mean, you'll pull it towards one direction. Here, we get: mean: 9.91 median: 1 Windsorized mean: 18.91 truncated (Olympic) mean: 12.11 2-truncated mean[1]: 1.43 as you see "Windsorized mean" is exaggerated on the positive direction. [1] this is when I remove top and bottom 2 values and calculate the mean of all the remaining values.
- jedberg 3y agoWindsorized (and trimmed) means really only work if you have one long tail, not two.
- pwdisswordfishc 3y agoA Windsorized mean is when you replace the outliers with members of the British royal family.
- gnulinux 3y agoOh whoops sorry about the typo!