On the Use of Permutation Tests in the Analysis of the Factorial Design of Experiment Results
Abstract
An experimental design is one of the tools which are used in statistical quality control. The proper implementation of experimental design results in the improvement of technological outcomes of a manufacturing process, which in turn leads to the enhancement of economic results. Permutation tests, among other things, form a group of resampling methods which are used to verify statistical hypotheses. These tests, unlike parametric ones, do not entail the fulfilment of strict criteria and may be used for a small number of observations. The presented article deals with the use of permutation tests in the design of experiments. The proposed method will be presented with reference to selected empirical data.
References
Berry K. J., Johnston J. E., Mielke Jr P. W. (2014), A Chronicle of Permutation Statistical Methods, Springer International Publishing, New York.
Elandt R. (1964), Statystyka matematyczna w zastosowaniu do doświadczalnictwa rolniczego, Państwowe Wydawnictwo Naukowe, Warszawa.
Good P. (2005), Permutation, Parametric and Bootstrap Tests of Hypotheses, Springer Science Business Media Inc., New York.
Kończak G. (2007), Metody statystyczne w sterowaniu jakością produkcji, Wydawnictwo Akademii Ekonomicznej, Katowice.
Kończak G. (2016), Testy permutacyjne. Teoria i zastosowania, Wydawnictwo Uniwersytetu Ekonomicznego w Katowicach, Katowice.
Lawson J. (2015), Design and Analysis of Experiments with R, CRC Press Taylor & Francis Group, Boca Raton.
Montgomery D. C. (1997), Introduction to statistical quality control, John Wiley & Sons Inc., New York.
Montgomery D. C. (2001), Design and Analysis of Experiments, John Wiley & Sons Inc., New York.
Pesarin F., Salamaso L. (2010), Permutation Tests for Complex Data. Theory, Applications and Software, John Wiley & Sons Inc., Chichester.
Ryan T. P. (2007), Modern Experimental Design, John Wiley & Sons, New Jersey.
Wawrzynek J. (1993), Statystyczne planowanie eksperymentów w zagadnieniach regresji w warunkach małej próby, Wydawnictwo Akademii Ekonomicznej, Wrocław.
Wawrzynek J. (2009), Planowanie eksperymentów zorientowane na doskonalenie jakości produktu, Wydawnictwo Uniwersytetu Ekonomicznego, Wrocław.
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