541-0181/02 – Statistics (ST)
Gurantor department | Department of Geological Engineering | Credits | 4 |
Subject guarantor | doc. RNDr. František Staněk, Ph.D. | Subject version guarantor | doc. RNDr. František Staněk, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 2 | Semester | summer |
| | Study language | English |
Year of introduction | 2018/2019 | Year of cancellation | |
Intended for the faculties | HGF | Intended for study types | Follow-up Master, Bachelor |
Subject aims expressed by acquired skills and competences
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.
Teaching methods
Lectures
Tutorials
Summary
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.
Compulsory literature:
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.
Recommended literature:
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.
Way of continuous check of knowledge in the course of semester
Test.
E-learning
Other requirements
Active participation in seminars and successful completion of written tests.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Combinatorics. Random experiment. Random event. Random event operations. Disjoint events.
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. Characteristics of random variables.
5. Basic types of probability distribution of discrete random variable. Basic types of probability distribution of continuous random variable.
6. Random vector, probability distribution, numerical characteristics.
7. Mathematic statistics. Statistical characteristics. Exploratory data analysis.
8. Population, random sampling, sample characteristics. Point and interval estimation.
9. Hypothesis testing. Parametric tests.
10. Nonparametric tests.
11. Verifying the type of statistical distribution.
12. Transform into normal distribution.
13. Two-dimensional statistical file. Regression and correlation analysis.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.