# 4906631: Statistics

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Semester:SS 20
Type:Lecture
Language:German
Scheduled in semester:2
Semester Hours per Week / Contact Hours:60.0 L / 45.0 h
Self-directed study time:135.0 h

## Qualifications

• Know about the roles of quantiles, variances, standard deviations and correlations to measure risks.
• Know the axioms of a discrete probability space.
• Know the most important distributions and their properties.
• Know the importance of the central limit theorem.
• Can describe univariate and bivariate data according to the level of scale using numerical measures and graphical representations.
• Can explain the content of the axioms of a discrete probability space while modelling a random experiment.
• Use the law of large numbers to interpret a probability as a relative frequency in the long run.
• Can explain why and when a certain distribution is used to model economic situations.
• Can name the basic idea of testing hypotheses referring to the possible types of errors.
• Name the basic ideas of standard testing procedures.
• Calculate the critical values in the decision rules of binomial tests.
• Can explain the meaning of confidence intervals and indicate the duality between confidence intervals and testing hypotheses.
• Use the principle of ordinary least squares to estimate the parameters of a regression model.
• Run simple linear regressions, set up the ANOVA-table and judge the residual plot.
• Calculate probabilities using addition rules, decision trees and combinatorics.
• Can explain the results of Bayes' theorem.
• Use limits theorems to approximate distributions and probabilities.
• Use calculations rules for expectations and variances correctly and can explain their meanings in the context of risk measuring.
• Calculate the critical values of binomial tests and the resulting probability of a type 2 error.
• Evaluate the test statistics of standard procedures, read the corresponding critical values from statistical tables and formulate the conclusion of the testing procedure correctly in the given context.
• Calculate confidence intervals and interpret them correctly in a given context.
• Interpret measures as quantiles, variances, standard deviations, correlations, skewness, curtosis correctly.
• Use the vocabulary introduced to them to describe graphical representations correctly and include the advantages and disadvantages of such representations while interpreting them.
• Judge the certainty or uncertainty of statistical conclusions and formulate their interpretations accordingly.
• Judge the practical relevance of a linear regression in the given context.
• Judge the uncertainty in the conclusions from statistical testing procedures correctly.
• Know the central statistical techniques that are often used in business applications.
• Understand the meaning of statistical notions.
• Use the concepts introduced in a purposeful way, interpret the results in the context and formulate their conclusions correctly.
• Use basic commands of the software package R to analyze data graphically and numerically.
• Apply standard learning techniques in abstract contexts so that they get used to working with scientific publications on their own.
• Analyze data to justify decisions in business applications.
• Analyze business cases using methods of probability theory.

## Literature

Die Pflichtliteratur des Moduls Statistik umfasst die folgenden Quellen:

• Unterrichtsmaterialen wie Skripten, Folien, Übungs- und Hausaufgaben, welche auf dem Lehrveranstaltungsforum zur Verfügung gestellt werden.
• Wewel, M. C. (2014, 3. Auflage). Statistik im Bachelor-Studium der BWL und VWL. Hallbergmoos: Pearson.
• Fahrmeir, L., Heumann, C., Künstler, R., Pigeot, I. & Tutz, G. (8. Auflage, 2016): Statistik - Der Weg zur Datenanalyse. Berlin: Springer.

## Exam Modalities

• written examination (120min)

## Dates

 Datum Zeit Raum 18.02.2020 10:00 - 11:30 H1 20.02.2020 14:15 - 15:45 H1 27.02.2020 14:15 - 15:45 H1 28.02.2020 10:15 - 11:45 H1 03.03.2020 10:00 - 11:30 H1 05.03.2020 14:15 - 15:45 H4 10.03.2020 10:00 - 11:30 H1 12.03.2020 14:15 - 15:45 H1 17.03.2020 10:00 - 11:30 H1 20.03.2020 12:45 - 14:15 H1 24.03.2020 10:00 - 11:30 H1 26.03.2020 14:15 - 15:45 H1 31.03.2020 10:00 - 11:30 H1 02.04.2020 14:15 - 15:45 H1 07.04.2020 10:00 - 11:30 H1 09.04.2020 14:15 - 15:45 H1 21.04.2020 10:00 - 11:30 H1 23.04.2020 14:15 - 15:45 H1 28.04.2020 10:00 - 11:30 H1 30.04.2020 14:15 - 15:45 H1 05.05.2020 10:00 - 11:30 H1 07.05.2020 14:15 - 15:45 H1 12.05.2020 10:00 - 11:30 H1 14.05.2020 14:15 - 15:45 H1 15.05.2020 12:45 - 14:15 H1 19.05.2020 10:00 - 11:30 H1 26.05.2020 10:00 - 11:30 H1 28.05.2020 14:15 - 15:45 H1

## Exams

• PWW-BA-12_Statistik - VO (SS 20, bewertet)
• PWW-BA-12_HT_Statistik - VO (SS 20, bewertet)