Course: Advanced Statistical and Mathematical Methods in Data Science

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Course title Advanced Statistical and Mathematical Methods in Data Science
Course code FES/HPMMS
Organizational form of instruction Lecture + Seminar
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 20
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Munk Michal, prof. RNDr. Ph.D.
Course content
Measurement procedures and measurement quality (estimation of objectivity, reliability and validity) Research plans and research methodology (census, sample survey, experiment) Data sources (combination and extension of data sources, knowledge discovery methodologies, knowledge discovery vs. research plans) Exploratory analysis (summarization, data description and visualization, analysis of residual values, data transformation) Probability as a theoretical basis of inferential analysis (normal distribution of a random variable, overview of distributions derived from the normal distribution) Inferential analysis (parameter estimates and hypotheses testing, parametric/non-parametric tests, dependent/independent samples, univariate/multiple/multivariate analyzes) Basic statistical methods (descriptive statistics, distribution tests, tests about variance and their non-parametric alternatives, tests about expected value and their non-parametric alternatives, relations between variables) Multivariate exploratory techniques (measures of relations, segmentation, classification, dimension reduction, reliability analysis) Linear models (regression analysis, analysis of variance), general linear models GLM, generalized linear models GLZM

Learning activities and teaching methods
Dialogic (discussion, interview, brainstorming)
Learning outcomes
The aim of the subject is to acquire the basic factual, conceptual, and procedural knowledge of the statistical and mathematical methods, which a student is able to creatively apply in scientific work in the field of applied informatics. The student is able to apply statistical analysis procedures in order to verify research hypotheses and assumptions. For this purpose, the student is able to obtain the necessary data through the measurement procedures, and/or the student can evaluate data sources, combine data sources, extend data sources with data obtained from own survey. The student is able to critically analyze and synthesize research concepts, report on analysis results, make statistical predictions, and provide visual data presentation.

Prerequisites
unspecified

Assessment methods and criteria
Self project defence

Successful completion of the course is conditional on demonstrating the ability to apply the acquired knowledge to scientific work. Graduation requirements: Successful completion of the course is conditional on an exam and an independent project solution. The oral exam consists of theoretical questions (40%) and a project defense (60%). The course evaluation is determined by the exam result. Credits will not be awarded to a student who receives less than 70 percent in the overall point evaluation.
Recommended literature
  • Agbinya, J. I. Applied Data Analytics - Principles and Applications. Publishers, 2020. ISBN 978-87-7022-095-8.
  • Munk, M., Pilkova, A., Benko, L., Blazekova, P., Svec, P. Methodology of stakeholders' behaviour modelling based on time. Elsevier, 2021.
  • Munk, M., Pilkova, A., Benko, L., Blazekova, P., Svec, P. Pillar 3 - Pre-processed web server log file dataset of the banking institution. Elsevier, 2021.
  • Munk, M., Pilkova, A., Benko, L., Blazekova, P., Svec, P. Web usage analysis of Pillar 3 disclosed information by deposit customers in turbulent times. Elsevier, 2021.
  • Santos, M. Y., Costa, C. Big Data : Concepts, Warehousing, and Analytics. River Publishers, 2020. ISBN 978-1-119-52841-8.
  • Stuard, D. Practical Data Science for Information Professionals. Facet Publishing, 2020. ISBN 978-1-78330-346-5.
  • Verma, J. P., Abdel-Salam, G. Testing Statistical Assumptions in Research. John Wiley & Sons: Incorporated, 2019. ISBN 978-1-119-52841-8.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester