Trim - Maple Help

Statistics

 Trim
 trim data set
 Winsorize
 winsorize data set

 Calling Sequence Trim(X, l, u) Winsorize(X, l, u)

Parameters

 X - l - numeric; lower percentile u - numeric; upper percentile

Description

 • The Trim and Winsorize commands can be used to eliminate extreme points in a data set.
 • The Trim command return all points from X between lth and uth percentiles.
 • The Winsorize command is similar to Trim except that the extreme points in X are replaced with the values of the lth or the uth percentile (whichever is closer).
 • The first parameter X is the data set, given as e.g. a Vector.
 • The second parameter l is the lower percentile, the third parameter u is the upper percentile. Both l and u must be numeric constants between 0 and 100. A common choice for l and u is 5 and 95 respectively.

Examples

 > $\mathrm{with}\left(\mathrm{Statistics}\right):$
 > $A≔\mathrm{Array}\left(\left[\mathrm{seq}\left(i,i=1..10\right)\right]\right)$
 ${A}{≔}\left[\begin{array}{cccccccccc}{1}& {2}& {3}& {4}& {5}& {6}& {7}& {8}& {9}& {10}\end{array}\right]$ (1)
 > $\mathrm{Trim}\left(A,25,75\right)$
 $\left[\begin{array}{c}{3}\\ {4}\\ {5}\\ {6}\\ {7}\end{array}\right]$ (2)
 > $\mathrm{Winsorize}\left(A,25,75\right)$
 $\left[\begin{array}{cccccccccc}{3}& {3}& {3}& {4}& {5}& {6}& {7}& {8}& {8}& {8}\end{array}\right]$ (3)