N_StM_1 Statistic Methods 1

University of Finance and Administration
Winter 2018
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Přemysl Záškodný, CSc. (seminar tutor)
Guaranteed by
Ing. Bc. Jiří Mihola, CSc.
Department of Computer Science and Mathematics – Departments – University of Finance and Administration
Contact Person: Ivana Plačková
Timetable of Seminar Groups
N_StM_1/vAPH: Sat 13. 10. 9:45–11:15 S14, 11:30–13:00 S14, Fri 26. 10. 17:30–19:00 S22, 19:15–20:45 S22, Fri 9. 11. 17:30–19:00 S14, Sat 24. 11. 9:45–11:15 S14, P. Záškodný
Prerequisites
There are no prerequisites for this course.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
After completing the course the student will be able to use the basic terms of mathematical statistics. Because the mathematical statistics is the science discipline, which directly requires specific knowledge level from the theory of probability, short repetition of the theory of probability will precede of this theme at first. On the basis of this course the student will be able to understand the problems of point and interval estimation. He will know the properties of point estimation of parameters of the parametric distributions and he will be able to construct confidence intervals for the basic parameters of the selected probability distribution. On the basis of this course, the students will be able to test hypotheses about the values ​​of some parameters of parametric distributions. They will understand the basic terms of statistical hypothesis testing. Students will be also able to use the equality tests of parameters in several sets, both in the case of independent samples and also in the case of dependent samples. Listeners will understand the problems of non-parametric testing with emphasis on goodness of fit tests and chi-square test of homogenity.
Learning outcomes
Knowledge of the basics of mathematical statistics (point and interval estimation, testing of statistical hypotheses, tests of good fit) and introduction to the analysis of dependencies.
Syllabus
  • 1. Random sample and sample distributions, statistics 2. Theory of estimation, point estimation 3. Theory of estimation, interval estimation 4. Theory of statistical hypothesis testing, basic terms 5. General test procedure 6. Tests of hypotheses for parameters 7. Tests of hypotheses of equality of values of two parameters 8. Analysis of variance 9. Chi -square goodness of fit test 10. Kolmogorov- Smirnov test for goodness of fit 11. Introduction to analysis of dependencies 12. Chi-square test of homogeneity
Literature
    required literature
  • BÍLKOVÁ, Diana, Petr BUDINSKÝ and Václav VOHÁNKA. Pravděpodobnost a statistika (Probability and Statistics). 1. vydání. Plzeň: Vydavatelství a nakladatelství Aleš Čeněk, s.r.o, 2009, 658 pp. ISBN 978-80-7380-224-0. info
  • CYHELSKÝ, Lubomír and Eduard SOUČEK. Základy statistiky (Elementals of Statistics). Praha: Vysoká škola finanční a správní, 2009, 164 pp. ISBN 978-80-7408-013-5. info
Teaching methods
Lectures and seminars in full-time study; tutorials in part-time study, data-projector is used in teaching, statistical programme Statgraphics will be presented to the students. Minimum mandatory attendance at seminars in full-time is 75%, the controlled group consultations in combined studies 50%. Students who fail to meet the mandatory level of participation will be specified additional study obligations.
Knowledge obtained within the course "Probability and statistics B - B_PS_B" on the bachelor level of the studium and the knowledge within the higher education mathematics are a prerequisite of mastering the content of the course.
Assessment methods
Course ending: allowance + examination Requirements for allowance: - 2 written tests, it is needed to obtain at least 50 percent of points from each test - 1 semestral work from the area of descriptive statistics, it is needed to obtain at least 50 percent points from that - presence in seminars at least 80 percent Examination: - 1 written test (exercises + theory), it is needed to obtain at least 50 percent of points form that - verbal examination
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Information on the extent and intensity of the course: 12 hodin KS/semestr.
The course is also listed under the following terms Winter 2007, Winter 2008, Summer 2009, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017.
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