math

The data contains the mathematics coursework marks, final
examination marks and grades obtained by students in a
first year mathematics course at The University
level in the year 2010 in Fiji.

datasets

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

math function

A data frame with 353 observations which represent
mathematics marks and grades for first year math students at
university level. The variable is as follows:
<dl>
<dt><code>cw</code></dt>
<dd>Coursework marks in 1st year mathematics (0-50)</dd><dt><code>end_exam</code></dt>
<dd>The end of semester examination marks
maths (0-50)</dd><dt><code>final_marks</code></dt>
<dd>Final examination marks in
maths, which is an addition of the cw and end_exam (0-100)</dd><dt><code>grade</code></dt>
<dd>The grade obtained by the student based on the final marks</dd></dl>

Format

Mathematics Marks for First-year University Students — math

A data frame with 353 observations which represent
mathematics marks and grades for first year math students at
university level. The variable is as follows:
<dl>
<dt><code>cw</code></dt>
<dd>Coursework marks in 1st year mathematics (0-50)</dd>

<dt><code>end_exam</code></dt>
<dd>The end of semester examination marks
maths (0-50)</dd>

<dt><code>final_marks</code></dt>
<dd>Final examination marks in
maths, which is an addition of the cw and end_exam (0-100)</dd>

<dt><code>grade</code></dt>
<dd>The grade obtained by the student based on the final marks</dd>

</dl>

math: Mathematics Marks for First-year University Students

Description

Usage

Arguments

Format

Examples