data.root

This function is called within other important functions in the stratifyR
package to calculate the objective function values at systematic incremental
progressions of stratum width and range of the data

The stratification of univariate populations under stratified sampling designs is implemented according to Khan et al. (2002) <doi:10.1177/0008068320020518> and Khan et al. (2015) <doi:10.1080/02664763.2015.1018674> in this library. It determines the Optimum Strata Boundaries (OSB) and Optimum Sample Sizes (OSS) for the study variable, y, using the best-fit frequency distribution of a survey variable (if data is available) or a hypothetical distribution (if data is not available). The method formulates the problem of determining the OSB as mathematical programming problem which is solved by using a dynamic programming technique. If a dataset of the population is available to the surveyor, the method estimates its best-fit distribution and determines the OSB and OSS under Neyman allocation directly. When the dataset is not available, stratification is made based on the assumption that the values of the study variable, y, are available as hypothetical realizations of proxy values of y from recent surveys. Thus, it requires certain distributional assumptions about the study variable. At present, it handles stratification for the populations where the study variable follows a continuous distribution, namely, Pareto, Triangular, Right-triangular, Weibull, Gamma, Exponential, Uniform, Normal, Log-normal and Cauchy distributions.

Karuna G. Reddy

stratifyR

Optimal Stratification of Univariate Populations

M. G. M. Khan

data.root function

<dl><dt>d</dt>
<dd>A numeric: distance or range of data</dd>
<dt>y</dt>
<dd>A numeric: stratum width</dd>
<dt>c</dt>
<dd>A numeric: stratum cost</dd>
<dt>my_env</dt>
<dd>The environment my_env contains the constants and outputs
from various calculations carried out by other key functions</dd></dl>

Arguments

Karuna Reddy &lt;karuna.reddy@usp.ac.fj&gt; MGM Khan &lt;khan_mg@usp.ac.fj&gt;

Author

To calculate the objective function values — data.root

<dl>

<dt>d</dt>
<dd>A numeric: distance or range of data</dd>


<dt>y</dt>
<dd>A numeric: stratum width</dd>


<dt>c</dt>
<dd>A numeric: stratum cost</dd>


<dt>my_env</dt>
<dd>The environment my_env contains the constants and outputs
from various calculations carried out by other key functions</dd>

</dl>

Karuna Reddy &lt;karuna.reddy@usp.ac.fj&gt; MGM Khan &lt;khan_mg@usp.ac.fj&gt;

data.root: To calculate the objective function values

Description

Usage

Value

Arguments

Author