perctl

Arguments

x

real or complex vector or matrix

y

vector of positive integer values between 0 and 100.

Description

Compute the matrix p of percentils (in increasing order, column first) of the real vector or matrix x.

The percentils are indicated by the entries of y, the values of entries of y must be positive integers between 0 and 100.

p is a matrix whose type is length(y) x 2 and the content of its first column are the percentils values.

The contents of its second column are the places of the computed percentiles in the input matrix x.

The minimum or maximum values in x are assigned to percentiles for percent values outside that range.

Examples

x=[6  7 0 7 10 4 2 2 7  1;
   6  0 5 5 5  2 0 6 8  10;
   8  6 4 3 5  9 8 3 4  7;
   1  3 2 7 6  1 1 4 8  2;
   6  3 5 1 6  5 9 9 5  5;
   1  6 4 4 5  4 0 8 1  8;
   7  1 3 7 8  0 2 8 10 8;
   3  6 1 9 8  5 5 3 2  1;
   5  7 6 2 10 8 7 4 0  8;
   10 3 3 4 8  6 9 4 8  3]
y=[10 20 30]
p=perctl(x,y)

Bibliography

HYNDMAN,Rob J. and FAN Yanan, Sample Quantiles in Statistical Packages, The American Statistician, Nov.1996, Vol 50, No.4