140MPS2 Applied Mathematics – Probability and Statistics – doc. RNDr.
Zdenka Lustigová, CSc.
Course objective:
This course is aimed to deepening and filling in the basic knowledge of mathematical and
statistical
analysis, focused namely on basics in understanding and processing data, hypothesis
testing and some computational algorithms and basic skills to use them. Besides the theoretical
description the selected topics are
presented on real life data, eg. Data from Czech Statistical
office and other national statistical offices and institutes (https://www.czso.cz/csu/czso/home/),
resp. in table processor Excel. Upon successful completion of this course, students will be able to
use the acquired knowledge in other related courses as well as in practice.
Course content:
Lecture 1: The work with data and basic terminology
Lecture 2: Normal model and standardization I
Lecture 3: Normal model and
standardization II
Lecture 4: Gathering data I (understanding randomness)
Lecture 5: Gathering data II (sampling)
Lecture 6: Gathering data III (experimental and observational studies)
Lecture 7: Language of data and hypothesis
Lecture 8: Central limit theorem
Lecture 9:
Hypothesis testing, Z test
Lecture 10: Hypothesis testing, Student’s T test
Lecture 11: Hypothesis testing, Chi test
Lecture 12: Frequent Errors in data
processing and presentation, the ways of
statistical manipulation
