Lecturer(s)
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Ponížil Petr, prof. RNDr. Ph.D.
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Course content
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- Pseudo-random number generators for uniform and normal distribution. - Random variable behaviour. - Description statistics. - Statistical hypothesis - formulation and testing. - Dependencies between quantities (correlation and regression analysis, least squares method, Fourier analysis).
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Learning activities and teaching methods
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Methods for working with texts (Textbook, book), Individual work of students
- Preparation for examination
- 50 hours per semester
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prerequisite |
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Knowledge |
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Knowledge of mathematics and physics. |
Knowledge of mathematics and physics. |
learning outcomes |
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test statistical hypothesis |
test statistical hypothesis |
explain linear regression models |
explain linear regression models |
explain non-linear regression models |
explain non-linear regression models |
define one and two factor ANOVA |
define one and two factor ANOVA |
design appropriate non-parametric tests |
design appropriate non-parametric tests |
Skills |
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use basic and more advanced statistical methods in the processing of experimental data |
use basic and more advanced statistical methods in the processing of experimental data |
test statistical hypotheses |
test statistical hypotheses |
calculate the parameters of the regression models and test them |
calculate the parameters of the regression models and test them |
analyze one and two factor ANOVA |
analyze one and two factor ANOVA |
test the data using non-parametric tests |
test the data using non-parametric tests |
teaching methods |
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Knowledge |
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Individual work of students |
Individual work of students |
Methods for working with texts (Textbook, book) |
Methods for working with texts (Textbook, book) |
Skills |
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Individual work of students |
Individual work of students |
Practice exercises |
Practice exercises |
assessment methods |
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Knowledge |
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Oral examination |
Oral examination |
Recommended literature
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DAS, N.C. Experimental Designs in Data Science with Least Resources. Shroff Publishers, 2018. ISBN 978-9352136889.
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Devore, Jay L. Probability and statistics for engineering and the sciences. 6th ed. Belmont, CA : Thomson-Brooks/Cole, 2004. ISBN 534399339.
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FREEDMAN, D., PISANI, R., PURVES, R. Statistics. W.W. Norton & Company, 2007. ISBN 0393930432.
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Hogg, Robert V. Introduction to mathematical statistics. 6th ed. Upper Saddle River, NJ ; London : Pearson Prentice Hall, 2005. ISBN 130085073.
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Jiří Neubauer, Marek Sedlačík, Oldřich Kříž. Základy statisticky. Aplikace v technických a ekonomických oborech. Praha, 2012. ISBN 978-80-247-4273-1.
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MELOUN, M., MILITKÝ, J. Statistické zpracování experimentálních dat. Praha: Plus, 1995.
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MERRIN, J. Introduction to Error Analysis: The Science of Measurements, Uncertainties, and Data Analysis. CreateSpace Independent Publishing Platform, 2017. ISBN 978-1975906658.
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MONTGOMERY, D. C., RUNGER, G. C. Applied statistics and Probability for Engineers. New York : Wiley, 1994. ISBN 0471540412.
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NATRELLA, M.G. Experimental Statistics. Mineola, New York: Dover Publications, 2005. ISBN 9780486154558.
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Orvis, W.J. Excel pro vědce a inženýry. Computer Press, 1996.
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RASCH, D., SCHOTT, D. Mathematical Statistics. Hoboken: Wiley, 2018. ISBN 978-1-119-38528-8.
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Rogers, L. and D. Willoughby. Numbers: Data and Statistics for Non-specialists.. London: Harper Collins, 2013. ISBN 978-0007507153.
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ROSS, S.M. Introductory Statistics. 4th Ed. Amsterdam: Elsevier/AP, 2017. ISBN 978-0-12-804317-2.
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UTTS, J.M., HECKARD, R.F. Mind on Statistics. 5th Ed. Stamford: Cengage Learning, 2015. ISBN 978-1-285-46318.
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