On the Use of Permutation Tests in the Analysis of the Factorial Design of Experiment Results

Małgorzata Złotoś

doi:10.18778/0208-6018.343.08

Authors

Małgorzata Złotoś University of Economics in Katowice, Faculty of Management, Department of Statistics Econometrics and Mathematics http://orcid.org/0000-0002-8680-4848

DOI:

https://doi.org/10.18778/0208-6018.343.08

Keywords:

Tukey’s test, design of experiments, permutation tests, Fisher Least Significant Difference Method

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.

Downloads

Download data is not yet available.

References

Berry K. J., Johnston J. E., Mielke Jr P. W. (2014), A Chronicle of Permutation Statistical Methods, Springer International Publishing, New York.
Google Scholar

Elandt R. (1964), Statystyka matematyczna w zastosowaniu do doświadczalnictwa rolniczego, Państwowe Wydawnictwo Naukowe, Warszawa.
Google Scholar

Good P. (2005), Permutation, Parametric and Bootstrap Tests of Hypotheses, Springer Science Business Media Inc., New York.
Google Scholar

Kończak G. (2007), Metody statystyczne w sterowaniu jakością produkcji, Wydawnictwo Akademii Ekonomicznej, Katowice.
Google Scholar

Kończak G. (2016), Testy permutacyjne. Teoria i zastosowania, Wydawnictwo Uniwersytetu Ekonomicznego w Katowicach, Katowice.
Google Scholar

Lawson J. (2015), Design and Analysis of Experiments with R, CRC Press Taylor & Francis Group, Boca Raton.
Google Scholar

Montgomery D. C. (1997), Introduction to statistical quality control, John Wiley & Sons Inc., New York.
Google Scholar

Montgomery D. C. (2001), Design and Analysis of Experiments, John Wiley & Sons Inc., New York.
Google Scholar

Pesarin F., Salamaso L. (2010), Permutation Tests for Complex Data. Theory, Applications and Software, John Wiley & Sons Inc., Chichester.
Google Scholar

Ryan T. P. (2007), Modern Experimental Design, John Wiley & Sons, New Jersey.
Google Scholar

Wawrzynek J. (1993), Statystyczne planowanie eksperymentów w zagadnieniach regresji w warunkach małej próby, Wydawnictwo Akademii Ekonomicznej, Wrocław.
Google Scholar

Wawrzynek J. (2009), Planowanie eksperymentów zorientowane na doskonalenie jakości produktu, Wydawnictwo Uniwersytetu Ekonomicznego, Wrocław.
Google Scholar