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On the Properties and Application of Tests for Homogeneity of Variances in the Problems of Metrology and Control

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 543))

Abstract

Distributions of test statistics of classical tests for homogeneity of variance (Neyman–Pearson, O’Brien, Link, Newman, Bliss–Cochran–Tukey, Cadwell–Leslie–Brown, Overall–Woodward Z-variance and modified Overall–Woodward Z-variance tests) are investigated including a case when the standard assumption of the normality is violated. The comparative analysis of power of the classical tests is carried out. Method of application of the tests of violation of the standard assumption that provides an interactive simulation of distributions of the test statistics is proposed and tested.

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Acknowledgement

This work is supported by the Russian Ministry of Education and Science (project 2.541.2014K).

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Correspondence to Boris Yu. Lemeshko .

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Lemeshko, B.Y., Sataeva, T.S. (2017). On the Properties and Application of Tests for Homogeneity of Variances in the Problems of Metrology and Control. In: Szewczyk, R., Kaliczyńska, M. (eds) Recent Advances in Systems, Control and Information Technology. SCIT 2016. Advances in Intelligent Systems and Computing, vol 543. Springer, Cham. https://doi.org/10.1007/978-3-319-48923-0_84

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  • DOI: https://doi.org/10.1007/978-3-319-48923-0_84

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