INFLUENCE OF ROUNDING ON THE PROPERTIES OF STATISTICAL HYPOTHESIS TESTING CRITERIA
B. Yu. Lemeshko, S. B. Lemeshko
Novosibirsk State Technical University, Novosibirsk, Russia
Keywords: критерии согласия, критерии однородности, статистика критерия, распределение статистики, ошибки округления, goodness-of-fit tests, homogeneity tests, test statistics, statistics distribution, rounding errors
Abstract
This paper presents the results of numerical studies of the influence of rounding errors on the statistics distribution of statistical hypothesis testing criteria. The effect of rounding on the distribution of statistics of various goodness-of-fit test and homogeneity tests is examined. It is shown that if the rounding errors in analyzed samples are commensurable with the standard deviation of measurement errors, the distributions of test statistics can vary significantly. Under such conditions, the application of tests in data processing systems using classic results can lead to wrong conclusions. Recommendations to solve this problem are proposed
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