151-0503/02 – Statistics A (StatA)
| Gurantor department | Department of Mathematical Methods in Economics | Credits | 8 |
| Subject guarantor | doc. Ing. Václav Friedrich, Ph.D. | Subject version guarantor | RNDr. Matěj Turčan, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Choice-compulsory |
| Year | | Semester | winter |
| | Study language | Czech |
| Year of introduction | 1999/2000 | Year of cancellation | 2009/2010 |
| Intended for the faculties | EKF | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
The aim is
-to learn students how to present a set of data by tables, graphs and descriptive measures,
-to make them acquainted with some parts of probability theory, especially with the term random variable, that is one of tools for description of uncertainity of real economical situations,
-to make them able to use basic types of probability distributions for solution of practical cases,
-to make them know the principles of some methods of statistical inference and use them for estimating and testing population parameters,
-to give the view of regression and correlation analysis.
Teaching methods
Lectures
Tutorials
Summary
Předmět představuje vstupní kurs do problematiky pravděpodobnosti a
statistiky. Poskytuje základy k dovednosti popisovat náhodné procesy v
ekonomii pomocí náhodných proměnných. Seznamuje se základy deskriptivní statistiky, statistické indukce, regresní analýzy, korelační analýzy.
Compulsory literature:
Teaching material of respective teachers.
Recommended literature:
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Statistics, Statistical Data – Classification, Collection, Data Sources,
Population Versus Sample, Stem and Leaf Diagram
2. Data Presentation, Set of Values of One Variable - Range, Frequency
Distribution, Cumulative, Relative, Relative Cumulative Frequencies and Its
Graphs
3. Descriptive Measures for One Dimensional Statistical Set of Data,
Exploratory Data Analysis
4. Algebra of Events, Concept of Probability
5. Probability Theory, Succession of Independent Events, Total Probability,
Bayes´ Rule
6. Random Variable (Types of Random Variables, Distribution Function,
Probability Function, Density Function) and Discrete Probability Distributions
(Uniform, Binomial, Hypergeometric, Pascal´s, Poisson´s).
7. Continuous Probability Distributions (Uniform, Exponential, Normal,)
Approximation of Binomial Distribution
8. Statistical Inference, Sampling Theory, Limit Theorem, Estimation Theory
(Point Estimates, Interval Estimates)
9. Tests of Hypotheses, One Sample Parametric Tests for Mean and Variance
10. Bivariate Data and Correlation Analysis, Correlation Coefficient
11. Simple Linear Regression, Determination Coefficient
12. Time Series Analysis, Components, Combining the Components
13. Index Numbers, Price and Quantity Indexes
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.