Statistics

The course 17PBOMVV can be graded only after the course 17PBOSTA has been successfully completed.

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Biomedical Technology

Synopsis:

Students learn basic priciples of research methodology, data collection, formulation of hypotheses and evaluation of results. Fundamental statistical methods, their usage and interpretation. Individual lectures focus on random variables, their distributions, characteristics, transformations, population and sample, estimation of parameters and testing hypotheses.

Requirements:

Requirements for the graded assessment:

1) Active participation in seminars

2) Fulfilling of all required homework

3) At least 50% success rate in tests in seminars is a prerequisite for passing the course. There are 2 test with already known date (see schedule/harmonogram). First test represents 40 % of the final grade, it contains questions from the exercises. Second test represents 60 % of the final grade, it contains questions from the exercises and theory from the lectures. The final grade depends on number of point from both tests.

Syllabus of lectures:

1. Motivation. Introduction to probability theory and mathematical statistics. Basic ideas of the mathematical model. Population and sample.

2. Classic, geometric and Kolmogorov definition of probability. Random variables.

3. Discrete random variables, their distributions and characteristics.

4. Continuous random variables, their distributions and characteristics.

5. Point estimates, interval estimates for normal variables.

6. Testing statistical hypotheses. Tests on parameters of the normal distribution. Goodness-of-fit tests. Rank tests.

7. Experiment design principles.

Syllabus of tutorials:

1. Work with MS Office Excel 2010; data formatting, cell formatting, conditional formatting, formulae input, hot keys, work with MS Excel sheets.

2. Work with MS Office Excel 2010; data sorting and filters, totals, functions (of date and time, logical, mathematical). Graphs.

3. Discrete random variables, characteristics, histogram.

4. Continuous random variables, characteristics, histogram. Normal distribution.

5. Point estimates in normal distribution. Interval estimates of the mean of normal distribution.

6. Work with MS Office Excel 2010; contingecy tables, contingency graph I.

7. Work with MS Office Excel 2010; contingecy tables, contingency graph II.

Study Objective:

The goal of the course is to introduce students to the basic principles of modern statistics based on the probability theory. Work with data sets in the MS Office Excell 2010 environment.

Study materials:

Stan Gibilisco: Statistics Demystified, 2nd ed., McGraw-Hill Professional, 2011, ISBN 978-0071751339

https://www.khanacademy.org/math/probability

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Optics and Optometry - full-time (compulsory course)