perctl - computation of percentils

Calling Sequence

p=perctl(x,y)

Parameters

• x : real or complex vector or matrix
• y : vector of positif values between 0 and 100.

Description

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

// 1st Example

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)


// 2nd example

A = perctl([500 480 460 453 452 452 451 450 450 431 421 420 420 417 416 414 410 410 405 397 380 360 332],90)

 
  

Author

Carlos Klimann

Bibliography

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