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Lecturer(s)
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Menčík Jaroslav, prof. Ing. CSc.
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Course content
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Introduction, goals and stages of experimental analysis. Variability and errors of measured values, ways for their mitigation. Basic statistical methods. Processing of measured data. Parameters of the set of measured data, confidence intervals. Determination of the extent of tests and measurements. Design of Experiments (DOE) approach. Evaluation of relationships among investigated quantities (correlation, determination of parameters in regression functions). Theory of similarity, dimensional analysis. Simulation probabilistic methods (Monte Carlo, Latin Hypercube Sampling). Experimental finding of the extreme of a function of one or more variables. Sensitivity analysis.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing)
- unspecified
- 15 hours per semester
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Learning outcomes
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Explanation of principal steps and methods for preparation (organisation) and evaluation of experiments.
The graduate is able to prepare plans of experiments (extent of measurements and number of experiments, approach DOE) and to evaluate the measured values (determination of confidence intervals) and the relations among various quantities (correlation, regression) and to determine the constants in regression functions, to test various hypotheses and utilise theory of similarity and dimensional analysis and simulation probabilistic methods.
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Prerequisites
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Knowledge of mathematics for technical colleges plus elements of calculus (integral, derivation).
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Assessment methods and criteria
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Written examination
The details will be explained by the teacher.
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Recommended literature
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Bernard J. Technický experiment. ČVUT, Praha, 1999.
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Felix M., Bláha K. Matematickostatistické metody v chemickém průmyslu. SNTL, Praha, 1962.
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Freund, J. E., Perles, B. E.:. Modern elementary statistics.. Englewood Cliffs, N.J., 2006.
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Kožešník J. Teorie podobnosti a modelování. Academia, Praha, 1983.
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Kropáč O. Metody experimentálního výzkumu. ČVUT, Praha, 1979.
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Montgomery D C. Design and analysis of experiments. Wiley, 2012.
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Ross, P J. Taguchi Techniques for Quality Engineering. McGraw-Hill, New York, 1996.
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Szirtes T. Applied Dimensional Analysis and Modeling. McGraw-Hill, New York, 1997.
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Zlokarnik M. Scale-up in Chemical Engineering. Wiley, 2006.
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