Course Unit Code | 541-0181/01 |
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Number of ECTS Credits Allocated | 4 ECTS credits |
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Type of Course Unit * | Compulsory |
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Level of Course Unit * | Second Cycle |
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Year of Study * | First Year |
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Semester when the Course Unit is delivered | Summer Semester |
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Mode of Delivery | Face-to-face |
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Language of Instruction | Czech |
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Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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Name of Lecturer(s) | Personal ID | Name |
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| STA22 | doc. RNDr. František Staněk, Ph.D. |
Summary |
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The introductory course Applied Statistics deals with the basic problems of
probability and statistics. It gives the base for ability to describe random processes by means of random variable and random vector. The course deals with the basic problems of descriptive statistics, methods of statistical inference, tests of hypotheses and regression and correlation analysis for one- or multi-dimensional statistical set of data. |
Learning Outcomes of the Course Unit |
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This course is dedicated to finding solutions of probabilistic and statistical problems. These problems can arise from other courses as well as from practice. The main emphasis lays in explanation of fundamental principles of probabilistic and statistical methods and of their general properties. The students learn how to decide which procedure is a suitable tool for solving a specific problem.
The first part of the course deals with basic probabilistic notions and with the way in which to understand these notions from both theoretical and practical points of view.
In the second part of the course the students learn the statistical way of thinking as a mean of understanding real-life processes. The basic methods of collecting and analysing statistical data are introduced. The students are taught how to use these general methods to solve the problems arising from other courses of their study and from practice.
The students learn how to use existing software specialized for statistical computations, too. |
Course Contents |
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1. Combinatorics. Random experiment. Random event. Random event operations. Disjoint events. Sample space.
2. Definition of probability - axiomatic, classical, geometrical, statistical.
3. Conditional probability. Total probability. Bayes' theorem. Repeated attempts.
4. Random variable, discrete random variable, continuous random variable. Probability mass function, probability density function, cumulative distribution function.
5. Characteristics of random variables.
6. Basic types of probability distribution of discrete random variable. Basic types of probability distribution of continuous random variable.
7. Random vector, probability distribution, numerical characteristics.
8. Mathematic statistics. Statistical characteristics. Exploratory data analysis.
9. Population, random sampling, sample characteristics.
10. Point and interval estimation.
11. Hypothesis testing. Parametric tests. Nonparametric tests.
12. Verifying the type of statistical distribution. Transform into normal distribution.
13. Two-dimensional statistical file. Regression and correlation analysis. |
Recommended or Required Reading |
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Required Reading: |
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Briš, R. PROBABILITY AND STATISTICS FOR ENGINEERS, Ostrava, VŠB - TU, 2011 (http://homel.vsb.cz/~bri10/).
Mann, P. S. Introductory Statistics. Wiley, 2010.
Montgomery, D. C. Applied Statistics and Probability for Engineers. Wiley, 2003.
Hodges, J. L., Lehmann, E. L. Basic Concepts of Probability and Statistics. SIAM, 2005. |
Sylaby přednášek dostupné na \\geolserv\PRENOSY\Statistika\.
Otipka, P., Šmajstrla, V. Pravděpodobnost a statistika (http://homel.vsb.cz/~oti73/cdpast1/index.htm).
Doležalová, J., Pavelka, L. Pravděpodobnost a statistika. Ostrava, VŠB, 2005.
Briš, R. PROBABILITY AND STATISTICS FOR ENGINEERS, Ostrava, VŠB - TU, 2011 (http://homel.vsb.cz/~bri10/). |
Recommended Reading: |
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Barnett, V. Environmental Statistics. Methods and Applications. Wiley, 2003.
Hammer, R, Harper, D. Paleontological Data Analysis. Malden, MA: Blackwell Pub, 2006.
Meier, P. C., Zünd, R., E. Statistical Methods in Analytical Chemistry. Wiley, 2000.
Benjamin, J. R., Cornell, C. A. Probability, Statistics, and Decision for Civil Engineers. Dover Publications, 2014. |
Litschmannová M. Vybrané kapitoly z pravděpodobnosti. FEI VŠB TU Ostrava, 2011 (http://mi21.vsb.cz/modul/vybrane-kapitoly-z-pravdepodobnosti).
Litschmannová M. Úvod do statistiky. FEI VŠB TU Ostrava, 2011 (http://mi21.vsb.cz/modul/uvod-do-statistiky).
Pavlík J.: Aplikovaná statistika, Vydavatelství VŠCHT Praha, 2005 (http://vydavatelstvi.vscht.cz/knihy/uid_isbn-80-7080-569-2/pages-img/obsah.html).
Barnett, V. Environmental Statistics. Methods and Applications. Wiley, 2003.
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Planned learning activities and teaching methods |
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Lectures, Tutorials |
Assesment methods and criteria |
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Task Title | Task Type | Maximum Number of Points (Act. for Subtasks) | Minimum Number of Points for Task Passing |
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Credit and Examination | Credit and Examination | 100 (100) | 51 |
Credit | Credit | 33 | 17 |
Examination | Examination | 67 | 18 |