4 ms·
Right 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 "Wi
by gnulinux 3y ago
Right 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!