ran_round

<a href="https://lifecycle.r-lib.org/articles/stages.html#stable"><img src="figures/lifecycle-stable.svg?package=stratallo&version=2.2.1" alt="[Stable]"></a>
A number $x$ is rounded to integer $y$ according to the following
rule:
$$y = \left\lfloor{x}\right\rfloor + I(u &lt; (x - \left\lfloor{x}\right\rfloor)),$$
where function $I:\{TRUE, FALSE\} \to \{0, 1\}$, is defined as:
$$
 I(x) = \begin{cases}
 0, &amp; x \text{ is } FALSE \\
 1, &amp; x \text{ is } TRUE,
 \end{cases}
$$
and $u$ is number that is generated from <code>Uniform(0, 1)</code> distribution.

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

ran_round function

<dl><dt>x</dt>
<dd>(<code>numeric</code>) a numeric vector.</dd></dl>

Arguments

<a href='https://lifecycle.r-lib.org/articles/stages.html#stable'><img src='figures/lifecycle-stable.svg' alt='[Stable]' /></a>
A number $x$ is rounded to integer $y$ according to the following
rule:
$$y = \left\lfloor{x}\right\rfloor + I(u &lt; (x - \left\lfloor{x}\right\rfloor)),$$
where function $I:\{TRUE, FALSE\} \to \{0, 1\}$, is defined as:
$$
 I(x) = \begin{cases}
 0, &amp; x \text{ is } FALSE \\
 1, &amp; x \text{ is } TRUE,
 \end{cases}
$$
and $u$ is number that is generated from <code>Uniform(0, 1)</code> distribution.

Random Rounding of Numbers — ran_round

<dl>

<dt>x</dt>
<dd>(<code>numeric</code>) a numeric vector.</dd>

</dl>

ran_round: Random Rounding of Numbers

Description

Usage

Value

Arguments

Examples