Abstract

The results of numerical studies of the effect of roundoff errors on the distribution of test statistics of statistical hypotheses are presented. The effect of the roundoff on the distribution of statistics of different goodness-of-fit and homogeneity tests is investigated. It is shown that, when the roundoff errors in the analyzed samples are comparable with the standard deviation of the measurement errors, the distribution of test statistics may vary significantly. Under such conditions the application of a test in the systems of data processing using the classical results may lead to false conclusions. The recommendations for resolving this issue are proposed.

中文翻译：

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四舍五入对检验统计假设标准的性质的影响

摘要

提出了舍入误差对统计假设检验统计量分布影响的数值研究结果。研究了舍入对不同拟合优度和同质性检验统计量分布的影响。结果表明，当分析样品中的舍入误差与测量误差的标准偏差相当时，检验统计量的分布可能会发生显着变化。在这种情况下，使用经典结果在数据处理系统中进行测试可能会导致错误的结论。提出了解决此问题的建议。