Multivariate Statistical Data Analysis Field of study: Mathematics
Programme code: W4-S2MT19.2025

Module name: Multivariate Statistical Data Analysis
Module code: W4-MT-S2-25-WSADan
Programme code: W4-S2MT19.2025
Semester: winter semester 2026/2027
Language of instruction: Polish
Form of verification: exam
ECTS credits: 6
Purpose and description of the content of education:
The aim of the Multivariate Statistical Data Analysis module is to develop competences in data analysis with an emphasis on multivariate statistical methods and the use of statistical tools in a computer environment. The module includes the implementation of the following program issues. 1. Random vectors and matrices and their distributions. 2. Point estimation in the multivariate case. 3. Testing statistical hypotheses in multivariate models. 4. Multivariate linear models. 5. Principal component analysis. 6. Canonical analysis. 7. Discriminant analysis.
List of modules that must be completed before starting this module (if necessary): not applicable
Learning outcome of the module Codes of the learning outcomes of the programme to which the learning outcome of the module is related [level of competence: scale 1-5]
Has in-depth knowledge of selected methods of multivariate statistics. [WSAD1]
 K_W04 [5/5]
Knows the issues related to the development of multivariate statistical methods and understands their importance for the development of various fields of science. [WSAD2]
 K_W05 [3/5]
Is able to develop his/her interests in the field of multivariate statistics and engage in substantive discussions with people with advanced knowledge in this field. [WSAD3]
 K_U06 [4/5]
Is able to analyze research problems using IT tools, selecting appropriate methods of data analysis based on the methods of multivariate statistics learned. [WSAD4]
 K_U05 [4/5] K_K02 [5/5]
Is able to apply acquired knowledge of multidimensional data analysis to solve problems in related areas, such as the analysis of temporal, economic, or medical data. [WSAD5]
 K_U07 [4/5] K_K06 [3/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [01] 30 Formal lecture/ course-related lecture [a01] 
Description [a03] 
Explanation/clarification [a05]  		exam WSAD1 WSAD2
laboratory classes [02] 30 Working with a computer [d01] 
Laboratory exercise / experiment [e01]  		course work WSAD3 WSAD4 WSAD5
The student's work, apart from participation in classes, includes in particular:
Name Category Description
Search for materials and review activities necessary for class participation [a01] Preparation for classes
reviewing literature, documentation, tools and materials as well as the specifics of the syllabus and the range of activities indicated in it as required for full participation in classes
Literature reading / analysis of source materials [a02] Preparation for classes
reading the literature indicated in the syllabus; reviewing, organizing, analyzing and selecting source materials to be used in class
Consulting materials complementary to those indicated in the syllabus [a04] Preparation for classes
agreeing on materials complementary to those indicated in the syllabus, supporting the implementation of tasks resulting from or necessary for class participation
Production/preparation of tools, materials or documentation necessary for class participation [a05] Preparation for classes
developing, preparing and assessing the usefulness of tools and materials (e.g. aids, scenarios, research tools, equipment, etc.) to be employed in class or as an aid when preparing for classes
Getting acquainted with the syllabus content [b01] Consulting the curriculum and the organization of classes
reading through the syllabus and getting acquainted with its content
Verification / adjustment / discussion of syllabus provisions [b02] Consulting the curriculum and the organization of classes
consulting the content of the syllabus, possibly in the presence of the year tutor or members of the class group, and, if necessary, reassessing the provisions concerning special conditions for class participation, e.g., space and time requirements, technical and other requirements, including conditions for participation in classes outside the walls of the university, classes organized in blocks, organized online, etc.
Determining the stages of task implementation contributing to the verification of learning outcomes [c01] Preparation for verification of learning outcomes
devising a task implementation strategy embracing the division of content, the range of activities, implementation time and/or the method(s) of obtaining the necessary materials and tools, etc.
Studying the literature used in and the materials produced in class [c02] Preparation for verification of learning outcomes
exploring the studied content, inquiring, considering, assimilating, interpreting it, or organizing knowledge obtained from the literature, documentation, instructions, scenarios, etc., used in class as well as from the notes or other materials/artifacts made in class
Implementation of an individual or group assignment necessary for course/phase/examination completion [c03] Preparation for verification of learning outcomes
a set of activities aimed at performing an assigned task, to be executed out of class, as an obligatory phase/element of the verification of the learning outcomes assigned to the course
Analysis of the corrective feedback provided by the academic teacher on the results of the verification of learning outcomes [d01] Consulting the results of the verification of learning outcomes
reading through the academic teacher’s comments, assessments and opinions on the implementation of the task aimed at checking the level of the achieved learning outcomes
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)