关于化学药物分析中试验结果呈现的正确性

M. Blazheyevskiy, L. Dubenska, V. Moroz
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引用次数: 0

摘要

系统地概述了数理统计的主要方法原理和思想,并举例说明了数理统计在药物分析中正确表示试验结果的应用。通讯内容包括误差理论的基本概念及其计算实例。给出了具有近似数的作用的广义规则。理论材料是通过一些例子和计算来说明的,即近似数的精确数字的数目、加权样本可靠值的界限和相对称重误差、权重在给定公差上的准确性、舍入的相对误差、加权样本记录重量中有效数字数目的确定。质量和体积差的绝对误差和相对误差,含水率测定的绝对误差和相对误差的计算,从属表达式的相对误差和度的依据等。总而言之,近似数的可靠小数点(位数)的个数决定了它的绝对误差,有效位数的个数决定了它的相对误差。测量结果四舍五入到相同的小数点,即在可靠区间的四舍五入值的末尾。可靠区间应包含一个或两个有效数字。结果表明,在每种情况下,都需要对测量误差进行一般分析,并且应用显著性计量判据可以使我们得出测量结果准确的结论。上述材料将有助于掌握化学和药物分析实验室中物理量测量误差的估计技术。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
CONCERNING THE CORRECTNESS OF THE PRESENTATION OF THE TEST RESULTS IN THE CHEMICAL-PHARMACEUTICAL ANALYSIS
The main methodological principles and ideas of mathematical statistics on the example of their application for the correct representation of the test results in the pharmaceutical analysis are systematically outlined. The communication contains the basic concepts of error theory and an example of their calculations. The generalized rules of actions with approximate numbers are given. The theoretical material is illustrated by a number of examples and calculations, namely, the number of the exact digits of the approximate number, the limits of the reliable values of the weighted sample and the relative weighing errors, the accuracy of the weights on the given tolerances, the relative error of the rounding, the determination of the number of significant figures in the recording weight of the weighted sample, the absolute and relative error of the difference in masses and volumes, the calculation of absolute and the relative error of the determination of the moisture content, the relative error of the subordinate expression and the basis of the degree, etc. In conclusion the number of reliable decimal points (digits) of the approximate number determines its absolute error, and the number of significant digits – its relative error. The result of the measurement is rounded to the same decimal point, which is in the end of the rounded value of the reliable interval. A reliable interval should contain one or two significant digits. It was shown that in each case a general analysis of the measurement error is required, and the application of the metrological criterion of significance allows us to conclude that the measurement results are accurate. The above materials will be useful for mastering the technique of estimating the errors of measurements of physical quantities during testing in the laboratory for chemical and pharmaceutical analysis.
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