optiallo {optimStrat}

Optimal allocation in stratified simple random sampling

Description

Allocates a sample of size n using Neyman optimal allocation in Stratified Simple Random Sampling.

Usage

optiallo(n, x, stratum = NULL, ...)

Arguments

n

a positive integer indicating the desired sample size.

x

a positive numeric vector giving the values of the auxiliary variable.

stratum

a vector indicating the stratum to which every unit belongs (see ‘Details’).

...

other arguments passed to stratify (see ‘Details’).

Details

Allocates a sample of size n using Neyman optimal allocation in Stratified Simple Random Sampling.

If stratum==NULL, the stratification is generated via stratify. Then at least the number of strata should be passed to stratify using the argument H.

Value

A list with two elements:

stratum

a vector indicating the stratum to which each element belongs.

nh

a vector indicating the sample size of the strata to which each element belongs.

See Also

stratify for defining the stratification using the cum-sqrt-rule.

Examples

x<- 1 + sort( rgamma(100, shape=4/9, scale=108) )
st1<- stratify(x,H=6)
optiallo(n=30,x,stratum=st1)

optiallo(n=30,x,H=6)