Mathematical Statistics (KMD/E-STA)

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  • 6 credits
  • Lecturer: Ing. Tomáš Barot, Ph.D., RNDr. Radek Krpec, Ph.D.
  • Lessons (Lectures + Exercises + Seminars): 1 + 0 + 1 [hours/week]
  • Semester: Winter / Summer
  • Language of instruction: English
  • Language of consultation: English
  • Level of qualification (Bc., Mgr.): Bc., Mgr.
  • Method of completion: Examination

Synopsis / description / annotation:

The course extends the contents of the course Introduction to Probability. It gives the introduction to mathematical statistic and involves a concept of a random sample, descriptive statistics, principles of estimation theory, regression and correlation analysis, testing hypotheses, parametric and non-parametric methods, statistic data evaluation using statistical software - MS Excel, SPSS.

Requirements on student:

An active participation in the full-time form of the education, an active approach to solving tasks, the successful passing of the written test of the final exam.

Content:

  1. Basic notions and methods of statistics. Descriptive statistics.
  2. Moments and quantils. Statistics of positions and variability.
  3. Point estimate of mean, point estimate of variance.
  4. Confidence interval of mean, confidence interval of variance.
  5. Regression analysis.
  6. Correlation analysis.
  7. Testing hypotheses – parametric and nonparametric methods.

Time requirements:

  • Being present in classes - 26 h.
  • Self-tutoring - 30 h.
  • Consultation of work with the teacher/tutor (incl. electronic) - 5 h.
  • Preparation for an exam - 30 h.

Prerequisites:

The secondary school knowledge of mathematics is assumed.

Course results:

After finishing the course, in which an understanding of topics of the mathematical statistics is offered, students will have knowledge about the advanced aspects of these parts of mathematics. Student will have abilities to solve problems using a software support for mathematics.

Assessment methods:

  • Written examination
  • Continuous analysis of student’s achievements

Teaching methods:

  • Computer-based tutoring
  • Dialogic (discussion, dialogue, brainstorming)
  • Individual tutoring

Literature:

  • Munem, M., A., Foulis, D., J. College Algebra with Applications. Worht Publishers, 1986. ISBN 0-87901-285-4.
  • Larson, R., E., Edwards, B. H. Finite Mathematics with Calculus. D. C. Heath and Company, 1991. ISBN 0-669-16804-1.

Updated: 03. 10. 2022