# samplef

sample with replacement from a population and frequencies of his values.

## Calling Sequence

    s = samplef(n,X,f,orient)

## Arguments

n

  positive integer (size of sample)

X

  matrix. Samples will be extracted from this matrix

f

  positive integer matrix with same type than X. It indicates frequencies of corresponding values of X.

orient

  Optional parameter. Admissible values are 1, 2, 'r' or 'c'

s

  vector or matrix containing sample

## Description

This function gives s, a vector of length n. It contains a sample of n extractions, with replacement, from the vector (or matrix) X, each element counted with the frequency given by the corresponding value in vector f.

s=samplef(n,X,f) (or s=samplef(n,X,f,'*')) returns a vector s whose values are a random sample of n values from X, each value with a probability to be sampled proportional to the corresponding value of f, extracted with replacement, from X. f must have same length than X.

s=samplef(n,X,f,'r') (or, equivalently, s=samplef(n,X,f,1)) returns a matrix of type size(X,'r')xn. It contains a random sample of n rows from X, each row with a probability to be sampled proportional to the corresponding value of f, extracted with replacement, from the rows of X. The length of f must be equal to the number of rows of X.

s=samplef(n,X,f,'c') (or, equivalently, s=samplef(n,X,f,2)) returns a matrix of type nxsize(X,'c'). It contains a random sample of n columns from X, each column with a probability to be sampled proportional to the corresponding value of f, extracted with replacement, from the columns of X. The length of f must be equal to the number of columns of X.

## Examples

    a=[3 7 9;22 4 2]
    f1=[10 1 1 1 1 1]
    f2=[1 ; 15]
    f3=[10 1 1]
    s=samplef(15,a,f1)
    s=samplef(15,a,f2,'r')
    s=samplef(15,a,f3,'c')

## See Also

- sample
- samwr