230-0303/01 – Statistics (S)
Gurantor department | Department of Mathematics | Credits | 4 |
Subject guarantor | Ing. Veronika Moškořová, Ph.D. | Subject version guarantor | Ing. Veronika Moškořová, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 2 | Semester | winter |
| | Study language | Czech |
Year of introduction | 2019/2020 | Year of cancellation | |
Intended for the faculties | FBI | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
The goal of the course is to serve as a theoretical and practical base to understand the importance of the basic notions in probability, and teach the student statistical way of thinking as a mean of understanding real life processes, introduce basic methods of collecting and analysing statistical data, and show the student how to use these general methods in other courses of study and in professional career.
The graduate of this course should be able:
• understand and use basic notions in combinatorics and probability theory
• formulate questions, which can be answered based on the given data, for this purpose learn the principles of collecting, processing data and presentation of relevant values and results
• choose and use suitable statistical methods for data analysis
• suggest and evaluate conclusions (inference) and predictions obtained from data
Teaching methods
Lectures
Individual consultations
Tutorials
Other activities
Summary
Random variables: Discrete and continuous random variables, probability distribution, density function, mean, variance, standard deviation. Characteristics of population and sample, measures of central tendency, measures of dispersion sampling distributions. Point estimates, confidence interval, testing hypotheses.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Passing the course, requirements
Course-credit (full-time study):
5 points:
-participation on tutorials is obligatory, 20% of absence can be accepted,
-submition of semestral project in predefined form.
5 – 15 poinst:
-accomplish the written tests,
-each test can be repeated once,
-it is necessary to get at least 5 out of 15 points.
Student has to gain at least 10 points in total to obtain credit and procced to final exam.
Course-credit (distance study):
Based on participation in consultations student can get 5 - 20 points, in case of absence student can get 5 points for elaboration of additional project.
Exam
Practical part of an exam is classified by 0 - 60 points. Practical part is successful if student obtains at least 25 points.
Theoretical part of the exam is classified by 0 - 20 points. Theoretical part is successful if student obtains at least 5 points.
Point quantification National grading scheme
100 – 86 excellent
85 – 66 very good
65 – 51 satisfactory
50 – 0 failed
E-learning
www.studopory.vsb.cz
Other requirements
No more requirements are put on the student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Random event, experiment, definition of probability. Conditional probability, independent events and its probability.
2. Random variable. Discrete random variable, probability function, distribution function of a discrete random variable. Numerical characteristics. Discrete uniform distribution, Poisson distribution, binomial distribution, hypergeometric distribution.
3. Continuous random variable. Probability density function, distribution function of a continuous random variable, numerical characteristics. Uniform distribution, exponential distribution, normal distribution.
4. Population. Data sample, frequency distributions.
5. Random sample and empirical characteristics.
6. Point and interval estimates of parameters, method of moments and maximum likelihood method.
7. Correlation and regression analysis, covariant and correlation matrix.
8. Approximation by the method of least squares.
9. Tests of hypotheses.
10. F-test of the equality of two variances.
11. Unpaired and paired two-sample t-tests.
12. Pearson's test, Kolmogorov–Smirnov test, two-sample Kolmogorov–Smirnov test.
13. Dixon's Q test, Grubbs' test for outliers.
14. Reserve.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction