pop10_mM

A dataset containing the artificial population with 10 strata.
Additionally, the lower and upper bounds for samples in strata are
specified.

datasets

Functions in this package provide solution to classical problem in
survey methodology - an optimum sample allocation in stratified sampling. In
this context, the optimum allocation is in the classical Tschuprow-Neyman's
sense and it satisfies additional lower or upper bounds restrictions imposed
on sample sizes in strata. There are few different algorithms available to
use, and one them is based on popular sample allocation method that applies
Neyman allocation to recursively reduced set of strata.
This package also provides the function that computes a solution to the
minimum cost allocation problem, which is a minor modification of the
classical optimum sample allocation. This problem lies in the determination
of a vector of strata sample sizes that minimizes total cost of the survey,
under assumed fixed level of the stratified estimator's variance. As in the
case of the classical optimum allocation, the problem of minimum cost
allocation can be complemented by imposing upper-bounds constraints on sample
sizes in strata.

Wojciech Wojciak

stratallo

Optimum Sample Allocation in Stratified Sampling

Wojciech Wójciak

Jacek Wesołowski

Robert Wieczorkowski

pop10_mM function

A matrix with 10 rows and 5 variables:<dl>
<dt>N</dt>
<dd>stratum size</dd><dt>S</dt>
<dd>standard deviation of study variable in stratum</dd><dt>m</dt>
<dd>lower bound for sample size in stratum</dd><dt>M</dt>
<dd>upper bound for sample size in stratum</dd><dt>unit_cost</dt>
<dd>cost of surveying one element in stratum</dd>
</dl>

Format

Example Population with 10 Strata and Lower and Upper Bounds — pop10_mM

A matrix with 10 rows and 5 variables:<dl>
<dt>N</dt>
<dd>stratum size</dd>

<dt>S</dt>
<dd>standard deviation of study variable in stratum</dd>

<dt>m</dt>
<dd>lower bound for sample size in stratum</dd>

<dt>M</dt>
<dd>upper bound for sample size in stratum</dd>

<dt>unit_cost</dt>
<dd>cost of surveying one element in stratum</dd>


</dl>

pop10_mM: Example Population with 10 Strata and Lower and Upper Bounds

Description

Usage

Arguments

Format