PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

The bootstrap method as a tool to improve the design of experiments

Treść / Zawartość
Identyfikatory
Warianty tytułu
Konferencja
7th International Conference System Safety: Human - Technical Facility - Environment, CzOTO 2018 (7 ; 12-14.12.2018 ; Zakopane, Poland)
Języki publikacji
EN
Abstrakty
EN
The paper considers the use of the bootstrap method to improve the determination of confidence intervals identified by the DOE (design of experiment) procedure. Two different approaches have been used: one that is appropriate for factorial designs and the other one relevant to the methodology of the response surface. Both approaches were tested on the real experiment datasets and compared with the results obtained from the classical statistical expressions based on well known asymptotic formulas derived from the distribution.
Wydawca
Rocznik
Strony
724--729
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
  • Cracow University of Technology, Poland
  • Kielce University of Technology, Poland
  • Cracow University of Technology, Poland
Bibliografia
  • [1] Box, G.E.P., Cox, D., 1964. An analysis of transformations. J. R. Stat. Soc. Ser. B-Stat. Methodol. B, 26, 211-246.
  • [2] Box, G.E.P., Wilson, K.B., 1951. On the Experimental Attainment of Optimum Conditions. J. Roy. Stat. Soc. B, 13, 1-45.
  • [3] Czerwiński, E., Gądek-Moszczak, A., Konopka, T., Latała, Z., Petryniak, R., Tabor, Z., Wojnar, L., Pietraszek, J., 2012. Development and optimization of diagnosis methods for estimation risk of fractures in osteoporosis based on a threedimensional images of trabecular bones obtained in vivo. [in Polish]. Cracow University of Technology, Kraków, Poland
  • [4] Efron, B., 1979. Bootstrap Methods: Another Look at the Jackknife. Ann. Statist., 7(1), 1-26.
  • [5] Fisher, R.A., 1925. Statistical Methods for Research Workers. Oliver and Boyd Press, Edinburgh, UK.
  • [6] Fisher, R.A., 1935. The Design of Experiments. Oliver and Boyd Press, Edinburgh.
  • [7] Gadek-Moszczak, A., 2017. History of stereology. Image Anal. Stereol., 36, 151-152.
  • [8] Gadek-Moszczak, A., Pietraszek, J., Jasiewicz, B., Sikorska, S., Wojnar, L., 2015. The bootstrap approach to the comparison of two methods applied to the evaluation of the growth index in the analysis of the digital x-ray image of a bone regenerate. New Trends in Comput. Collective Intelligence, 572, 127-136.
  • [9] Gadek-Moszczak, A., Matusiewicz, P., 2017. Polish Stereology – a Historical Review. Image Anal. Stereol., 36, 207-221.
  • [10] Guzowski A, Sobczyk A., 2014. Reconstruction of Hydrostatic Drive and Control System Dedicated for Small Mobile Platform. ASME – Fluid Power Systems Technology, 8th FPNI Ph.D Symposium on Fluid Power, art.V001T05A012.
  • [11] Kiefer, J., Wolfowitz, J., 1959. Optimum Designs in Regression Problems. Ann. Math. Stat., 30, 271-294.
  • [12] Maszke, A., Dwornicka, R., Ulewicz, R., 2018. Problems in the implementation of the lean concept at a steel works – Case study. MATEC Web Conf., 183, art. 01014.
  • [13] Montgomery, D.C., 2008. Design and analysis of experiments. Wiley, Hoboken.
  • [14] Owen, A.B., 2001. Empirical Likelihood. Chapman & Hall/CRC, Boca Raton.
  • [15] Pietraszek, J., Dwornicka, R., Szczotok, A., 2016. The Bootstrap Approach to the Statistical Significance of Parameters in the Fixed Effects Model. ECCOMAS Congress 2016 – Proc. 7 th European Congress on Computational Methods in Applied Sciences and Engineering, Vol.3, 6061-6068.
  • [16] Pietraszek, J., Wojnar, L., 2016. The Bootstrap Approach to the Statistical Significance of Parameters in RSM Model. ECCOMAS Congress 2016 – Proc. 7 th European Congress on Computational Methods in Applied Sciences and Engineering, Vol.1, 2003-2009.
  • [17] Scheffé, H., 1958. Experiments with Mixtures. J. Roy. Stat. Soc. B, 20, 344-360.
  • [18] Shao, J., Tu, D., 1995. The Jackknife and Bootstrap. Springer, New York.
  • [19] Skrzypczak-Pietraszek, E., 2016. High production of flavonoids and phenolic acids for pharmaceutical purposes in Vitex agnus castus L. shoot culture. New Biotechnol., 33, S155-S155.
  • [20] Skrzypczak-Pietraszek, E; Hensel, A., 2000. Polysaccharides from Melittis melissophyllum L. herb and callus. Pharmazie, 55, 768-771.
  • [21] Skrzypczak-Pietraszek, E., Pietraszek, J., 2009. Phenolic acids in in vitro cultures of Exacum affine Balf. f. Acta Biol. Cracov. Bot., 51, 62-62.
  • [22] Skrzypczak-Pietraszek, E., Reiss, K., Zmudzki, P., Pietraszek, J., 2018. Enhanced accumulation of harpagide and 8-O-acetyl-harpagide in Melittis melissophyllum L. agitated shoot cultures analyzed by UPLC-MS/MS. PLoS ONE 13, e0202556.
  • [23] Sygut, P., Klimecka-Tatar, D., Borkowski, S., 2016. Theoretical analysis of the influence of longitudinal stress changes on band dimensions during continuous rolling process. Arch. Metall. Mater., 61, 183-188.
  • [24] Szczotok, A., Nawrocki, J., Gądek-Moszczak, A., Kołomycki, M., 2015. The Bootstrap Analysis of One-Way ANOVA Stability in the Case of the Ceramic Shell Mould of Airfoil Blade Casting. Solid State Phenomena, 235, 24-30.
  • [25] Ulewicz, R.; Novy, F. R., 2016. The influence of the surface condition on the fatigue properties of structural steel. Journal of the Balkan Tribological Association, 22, 1147-1155.
  • [26] Walczak, P., Sobczyk A., 2014. Simulation of water hydraulic control system of francis turbine. ASME – Fluid Power Systems Technology, 8th FPNI Ph.D Symposium on Fluid Power, art. V001T04A001.
  • [27] Weglowski, B., Osocha, P., 2009. Modelling of creep for Y pipe from ferriticmartensitic P91 steel. Rynek Energii, 6, 140-145.
  • [28] Wolfberg, J., 2006. Data Analysis Using the Method of Least Squares. Extracting the Most Information from Experiments. Springer, Berlin-Heidelberg.
  • [29] Yates, F., 1935. Complex experiments. J. Roy. Statist. Soc., Suppl.2, 181-247
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-38e2e379-135f-40ec-8f3d-51bfe2ab8c1d
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.