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Sequence of Experimental Trials and Factorial Design of Experiment Realization Costs

100%
Szerszunowicz M., University of Economics in Katowice D. o. S.
Acta Universitatis Lodziensis. Folia Oeconomica
|
2013
|
vol. 286
EN
Design of experiment is one of statistical methods of quality control which allows to appropriate preparation of the production process. Statistical design of experiment allows to set the level and to determine the influence of factors on the results of realized process as well as helps to improve its economic results. The aim of this article is the issue of the proper order of experimental trials realization of certain design of experiment in order to reduce the cost of its implementation. For this particular problem will be presented an algorithm of design of experiment which uses properly constructed matrix. Proposed method of the experiment will be compared with cost of realization of classical factorial design of experiments.
PL
Planowanie eksperymentów jest jedną z metod statystycznej kontroli jakości procesu produkcyjnego pozwalającą na jego właściwe przygotowanie. Statystyczne planowanie eksperymentów umożliwia ustalenie poziomu oraz określenie wpływu uwzględnionych czynników na efekty realizowanego procesu, jak również ma wpływ na poprawę jego ekonomicznych rezultatów. Przedmiotem artykułu jest zagadnienie odpowiedniej kolejności wykonywania doświadczeń pewnego planu eksperymentu w celu zmniejszenia kosztów jego realizacji. Dla tak określonego problemu zaprezentowany został algorytm realizacji planu eksperymentu wykorzystujący odpowiednio skonstruowaną macierz kosztów. Proponowana metoda przeprowadzenia eksperymentu została porównana z kosztami realizacji klasycznych planów eksperymentów czynnikowych.
2

On the design of experiments considering the division of the experimental area

100%
Szerszunowicz M.
Mathematical Economics
|
2012
|
issue 8 (15)
123-134
EN
The design of experiments is an important tool to improve production processes that use statistical methods. Designing experiments empowers not only setting properly the parameters of the production process and describing the influence of factors on the results, but also leads to improving the economic results of the analyzed process. The aim of this article is the issue of choosing the appropriate layout of experiments when the experimenter, because of the cost or conditions, has no possibility to implement the completion of the design of experiments. The suggested method takes into account the division of the experimental area and uses measures of spatial autocorrelation to determine the design points to carry out an experiment. The implementation of the mentioned method will be presented for selected factorial designs with particular reference to plans used to estimate the non-linear response surface.
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