percentile
Syntax
percentile(X, percent, [interpolation=’linear’])
Arguments
X is a vector or a matrix.
percent is an integer or a floating number between 0 and 100.
interpolation is a string indicating the interpolation method to use if the specified percentile is between two elements in X (assuming the i-th and (i+1)-th element in the sorted X) . It can take the following values:
‘linear’: Return X(i)+(X(t+1)-X(t))*fraction, where fraction = ((percentile100)-(i(size-1)))(1(size-1))
‘lower’: Return X(i)
‘higher’: Return X(i+1)
‘nearest’: Return X(i) or X(i+1) that is closest to the specified percentile
‘midpoint’: Return (X(i)+X(i+1))2
The default value of interpolation is ‘linear’.
Details
If X is a vector, return the given percentile of X. The calculation ignores NULL values.
If X is a matrix, conduct the aforementioned calculation within each column of X. The result is a matrix with the same shape as X.
Examples
$ a=[6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36];
$ percentile(a,50);
40
$ percentile(a,54);
40.4
$ percentile(a,25,"lower");
15
$ percentile(a,75,"higher");
43
$ percentile(a,5,"midpoint");
6.5
$ percentile(a,5,"nearest");
6
$ m=matrix(1 2 5 3 4, 5 4 1 2 3);
$ m;
#0 |
#1 |
---|---|
1 |
5 |
2 |
4 |
5 |
1 |
3 |
2 |
4 |
3 |
$ percentile(m, 75);
$ [4,4]