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Lecturer(s)
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Picek Jan, prof. RNDr. CSc.
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Course content
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The aim of the subject is to deepen knowledge on basic methods concerning mathematical statistics and data analysis and to acquaint with more advanced methods, with great emphasis on multidimensional methods. The topics discussed should address the needs of Ph.D. students for their professional work. Alternative procedures concerning statistical procedures based on the assumption of normality: nonparametric and robust procedures. L and M-estimates, sequence tests, correlation analysis. Linear regression, tests and regression estimates, basics of regression diagnostics. Multidimensional statistical analysis: concept of reliability area, basic estimates and tests, Hotelling test. Principal component method, factor analysis. Selected articles on statistical control of quality and reliability.
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Learning activities and teaching methods
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Lecture
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Learning outcomes
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The aim of the subject is to deepen knowledge on basic methods concerning mathematical statistics and data analysis and to acquaint with more advanced methods, with great emphasis on multidimensional methods. The topics discussed should address the needs of Ph.D. students for their professional work. Alternative procedures concerning statistical procedures based on the assumption of normality: nonparametric and robust procedures. L and M-estimates, sequence tests, correlation analysis. Linear regression, tests and regression estimates, basics of regression diagnostics. Multidimensional statistical analysis: concept of reliability area, basic estimates and tests, Hotelling test. Principal component method, factor analysis. Selected articles on statistical control of quality and reliability.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Combined examination
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Recommended literature
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ANDERSON, T. W. An Introduction to Multivariate Statistical Analysis. 2003. ISBN 978-0-471-36091-9.
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Dalgaard, P. Introductory Statistics with R. 2008. ISBN 978-0-387-79053-4.
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JUREČKOVÁ, J., P. K. SEN a J. PICEK. Methodological Tools in Robust and Nonparametric Statistics. 2013. ISBN 978-1-4398-4068-9.
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REIMANN C., P. FILZMOSER, R. GARRETT a R. DUTTER. Statistical Data Analysis Explained. 2008. ISBN 978-0-470-98581-6.
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