Modulhandbuch (Module manual)

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M.184.2458 Introduction to Probability and Mathematical Statistics II
(Introduction to Probability and Mathematical Statistics II)
Koordinator (coordinator): Prof. Dr. Hendrik Schmitz
Ansprechpartner (contact): Verena Bade (verena.bade[at]uni-paderborn.de)
Credits: 5 ECTS
Workload: 150 Std (h)
Semesterturnus (semester cycle): SoSe/WS
Studiensemester (study semester): 1-4
Dauer in Semestern (duration in semesters): 1
Lehrveranstaltungen (courses):
Nummer / Name
(number / title)		 Art
(type)		 Kontaktzeit
(contact time)		 Selbststudium
(self-study)		 Status (P/WP)
(status)		 Gruppengröße
(group size)
a) K.184.24581 / Introduction to Probability and Mathematical Statistics II 150 Std (h) P
Wahlmöglichkeiten innerhalb des Moduls (Options within the module):
Keine
Empfohlene Voraussetzungen (prerequisites):

​M.184.2456 Introduction to Probability and Mathematical Statistics

Inhalte (short description):

​This course introduces students to further core concepts in probability distributions, data analysis, and time series analysis, building on foundational skills in descriptive and inferential statistics. Topics covered include confidence intervals for variances, analyzing contingency tables, correlation and regression analysis, and time series decomposition.

Lernergebnisse (learning outcomes):
Fachkompetenz Wissen (professional expertise):
Studierende...
  • ​recognize the difference between primary and secondary data sources, understanding the challenges and advantages associated with each.
  • understand the applications and properties of the χ² and F distributions.
  • are familiar with the principles of correlation, regression, and index numbers.
  • comprehend the structure of time series data, including components such as trend, seasonality, and cyclical elements.
    • Fachkompetenz Fertigkeit (practical professional and academic skills):
    Studierende...
  • ​can construct and interpret confidence intervals for variances.
  • are able to analyze contingency tables and draw valid inferences from them.
  • can calculate and interpret correlation coefficients, generate regression lines, and assess the statistical significance of results using confidence intervals and hypothesis tests.
  • can represent data using index numbers and splice separate index series.
  • are able to decompose time series data, isolating trends, detecting seasonal patterns, and adjusting data seasonally to make informed forecasts.
    • Personale Kompetenz / Sozial (individual competences / social skills):
    Studierende...
  • ​can communicate their analysis results clearly and effectively.
  • can engage constructively in team discussions on statistical methods and interpretations.
    • Personale Kompetenz / Selbstständigkeit (individual competences / ability to perform autonomously):
    Studierende...
  • ​are able to independently conduct basic data analysis and critically evaluate the results.
  • can successfully structure their own learning process.
    • Prüfungsleistungen (examinations)
    Art der Modulprüfung (type of modul examination): Modulabschlussprüfung
    Art der Prüfung
    (type of examination)    		 Umfang
    (extent)    		 Gewichtung
    (weighting)
    a) Klausur 90 Minuten 100.00 %
    Studienleistung / qualifizierte Teilnahme (module participation requirements)
    Nein
    Voraussetzungen für die Teilnahme an Prüfungen (formal requirements for participating in examinations)
    Keine
    Voraussetzungen für die Vergabe von Credits (formal requirements for granting credit points)
    Die Vergabe der Credits erfolgt, wenn die Modulnote mindestens „ausreichend“ ist
    Gewichtung für Gesamtnote (calculation of overall grade)
    Das Modul wird mit der doppelten Anzahl seiner Credits gewichtet (Faktor: 2)
    Verwendung des Moduls in den Studiengängen (The module can be selected in the following degree programmes)
    M.Sc. International Economics and Management
    Umfang QT (participation requirements):
    Lernmaterialien, Literaturangaben (learning material, literature):
    Barrow, Michael and C. Rashaad Shabab. 2024. Statistics for Economics, Accounting and Business Studies. Eighth edition. Harlow, London: Pearson.
    Teilnehmerbegrenzung (participant limit):
    Keine
    Sonstige Hinweise (additional information):

    Please note: This course can only be taken if the courses 'Introduction to Probability and Mathematical Statistics' and 'Introduction to Econometrics' are not sufficient to complete the ECTS required for enrollment in the Master's program.

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