| Course Unit Code | 450-2005/01 |
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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 * | First Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Winter 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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| HAJ74 | doc. Ing. Radovan Hájovský, Ph.D. |
| Summary |
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| Course deals with tools and methods of statistical data processing. Description of program system MATLAB/Statistics Toolbox is implement. |
| Learning Outcomes of the Course Unit |
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| The purpose of the course is to explain the basic notions and method for statistic analysis. Methods of search analysis of one dimensional data will studied. |
| Course Contents |
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Lectures:
Probability theory.
Chance quantity.Definition, properties od distributive and frequency function.
Numeral characteristics, central moment, dispersion, skew, median etc.
Measurement errors. Accuracy of devices.
Search analysis.Order statistics. Statistic graphs - box plot, histogram, diagram of dispersion, etc.
Probability distribution of discrete stochastic quantity. Poissonovo, binomic distribution.
Probability distribution of continuous stochastic quantity.Uniform, exponencial, Normal distribution.
Pearson, student, Fisher, Snedecker distribution.
Minimum size of selection, independence of elements, homogeneity.
Statistic analysis of one-dimensional data. Parameter estimation of situation and dispersion.
Interval parameter estimation.
Robust parameter estimation.
Hypothesis testing.
Linear regression.
Computer labs:
MATLAB, Statistic software.
Work with data in MATLAB.
Tasks from probability theory.
Frequency and distributive function.
Chance quantity and numeral characteristics. Setting of Task.
Error estimation.
Order statistics. Graf analysis(histogram, boq plot)
Discrete probability distribution.Demo.
Continuous probability distribution. Demo.
Point estimations, interval estimations.
Testing of hypothesis.
Linear regression.
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| Recommended or Required Reading |
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| Required Reading: |
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Literature MATLAB - Statistic ToolBox
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Hájovský, R.: Měření a zpracování dat pro obor biomedicínská technika. I. vydání, Ediční středisko VSB-TUO, Ostrava, 2007
Meloun, M., Militký J.: Kompendium statistického zpracování dat, Academia 2002
Pavelka,L.-Doležalová,J.: Pravděpodobnost a statistika. VŠB - TU Ostrava, Ostrava 1995. |
| Recommended Reading: |
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| Literature MATLAB - Statistic Tool Box |
Penhaker,M.: Statistické zpracování měření, Sylaby na WWW stránkách katedry, 2002
Kozisek, J.: Statistická analýza, skriptum ČVUT Praha, 2002 |
| Planned learning activities and teaching methods |
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| Lectures, Individual consultations, Tutorials, Experimental work in labs |
| 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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| Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |
| Exercises evaluation | Credit | 40 | 10 |
| Examination | Examination | 60 (60) | 10 |
| Písemná zkouška | Written examination | 40 | 5 |
| Ústní zkouška | Oral examination | 20 | 5 |