Methodology and Application of Oneway ANOVA

Eva Ostertagová¹ and Oskar Ostertag^2,

¹Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Nemcovej 32, 042 00 Košice, Slovak republic

²Department of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Technical University of Košice, Letná 9, 042 00 Košice, Slovak republic

Cite this paper:
Eva Ostertagová and Oskar Ostertag. Methodology and Application of Oneway ANOVA. American Journal of Mechanical Engineering. 2013; 1(7):256-261. doi: 10.12691/ajme-1-7-21

Abstract

This paper describes the powerful statistical technique one-way ANOVA that can be used in many engineering and manufacturing applications and presents its application. This technique is intended to analyze variability in data in order to infer the inequality among population means. The application data were analyzed using computer program MATLAB that performs these calculations.

Keywords:
one-way ANOVA test normality tests homoscedasticity tests multiple comparison tests MATLAB

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

Figures

References:

[1]	Aczel, A.D., Complete Business Statistics, Irwin, 1989.
[2]	Brown, M., Forsythe, A., “Robust tests for the equality of variances,” Journal of the American Statistical Association, 364-367. 1974.
[3]	Montgomery, D.C., Runger, G.C., Applied Statistics and Probability for Engineers, John Wiley & Sons, 2003.
[4]	Ostertagová, E., Applied Statistic (in Slovak), Elfa, Košice, 2011.
[5]	Parra-Frutos, I., “The behaviour of the modified Levene’s test when data are not normally distributed,” Comput Stat, Springer, 671-693. 2009.
[6]	Rafter, J.A., Abell, M.L., Braselton, J.P., “Multiple Comparison Methods for Means,” SIAM Review, 44 (2). 259-278. 2002.
[7]	Rykov, V.V., Balakrishnan, N., Nikulin, M.S., Mathematical and Statistical Models and Methods in Reliability, Springer, 2010.
[8]	Stephens, L.J., Advanced Statistics demystified, McGraw-Hill, 2004.
[9]	Taylor, S., Business Statistics.www.palgrave.com.