Construction and Application of a Statistical Test for Coefficient of Variation on Normal Distributions
- 1 Sefako Makgatho Health Sciences University, South Africa
Abstract
In this study a novel statistical test is derived for the Coefficient of Variation (CV) under normal distributions. This is a newly derived test with value to engineering sciences in aspects of production of accurate items. The CV can measure the precision of a measuring instrument, among other applications. In order to determine instrument reliability, start by generating measures using the instrument. The CV is then calculated to determine if the measures generated by the instrument are concentrated around a central point. In use of normal distribution presumption, or approximation, applicable properties of the normal distributions lead to involvement of the chi-square and t-distributions. A CV test is then constructed, and two illustrative examples conclude the discussion.
DOI: https://doi.org/10.3844/ajassp.2017.1024.1030
Copyright: © 2017 Solly Matshonisa Seeletse and Gezani Richman Miyambu. This is an open access article distributed under the terms of the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Central Limit Theorem
- Coefficient of Variation
- Law of Large Numbers
- Normal Distribution