ON THE METHOD OF DETECTING CHANGES IN TREND USING PERMUTATION TESTS
DOI:
https://doi.org/10.18778/0208-6018.311.05Keywords:
trend, detecting changes, permutation test, Monte Carlo studyAbstract
This article presents a proposal of the test for detecting changes in trend. The proposed procedure refers to the permutation test. The use of this procedure allowed the adoption of fairly general assumptions. The proposed method can be used, in particular to detect the appearance of the trend. In this case, it is possible to use this method to monitor industrial processes. The proposed method was compared with known from literature methods used to detect disturbances in monitoring processes. For comparing procedures computer simulations were used.
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References
Domański Cz., Pekasiewicz D., Baszczyńska A., Witaszczyk A. (2014) Testy statystyczne w procesie podejmowania decyzji. Wydawnictwo Uniwersytetu Łódzkiego.
Google Scholar
Efron B., Tibshirani R. (1993) An Introduction to the Bootstrap, Chapman & Hall. New York.
Google Scholar
Good P. (2005) Permutation, Parametric and Bootstrap Tests of Hypotheses. Science Business Media, Inc.
Google Scholar
Kończak G. (2007) Metody statystyczne w sterowaniu jakością produkcji, Akademia Ekonomiczna w Katowicach.
Google Scholar
Kończak G. (2012) Wprowadzenie do symulacji komputerowych, Uniwersytet Ekonomiczny w Katowicach, 2012.
Google Scholar
Lehman E. L. (2009) Parametric versus nonparametrics: two alternative methodologies, Journal of Nonparametric Statistics, Vol. 21, No.4, May 2009, 397-405
Google Scholar
Montgomery D. C. (1996) Introduction to Statistical Quality Control, John Wiley & Sons, Inc., Arizona State University.
Google Scholar
Perry M. B., Pignatiello Jr.J. J. (2006) Estimation of the Change Point of a Normal Process Mean with a Linear Trend Disturbance in SPC, Quality Technology & Quantitative Management, vol. 3, No. 3, 325 – 334.
Google Scholar
Shao X., Zhang X. (2010) Testing for Change Points in Time Series, Journal of the American Statistical Association, vol. 105, issue 491, pages 1228-1240.
Google Scholar