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Construction and Application of a Statistical Test for Coefficient of Variation on Normal Distributions

机译:正态分布变异系数统计检验的建立与应用

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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.
机译:在这项研究中,得出了一种正态分布下的变异系数(CV)的新颖统计检验。这是一种新衍生的测试,对于准确项目的生产而言,对工程科学具有价值。 CV可以测量测量仪器的精度,以及其他应用。为了确定仪器的可靠性,请首先使用仪器进行测量。然后计算CV,以确定仪器产生的测量值是否集中在中心点附近。在使用正态分布推定或近似值时,正态分布的适用属性会导致卡方和t分布的参与。然后构建了CV测试,并且两个说明性示例结束了讨论。

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