Statistical analysis techniques - Interactive curriculae of TU Ilmenau

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module properties Statistical analysis techniques in degree program Bachelor Mathematik 2013
module number	1821
examination number	2400335
department	Department of Mathematics and Natural Sciences
ID of group	241B (Stochastics)
module leader	Prof. Dr. Thomas Hotz
term	summer term only
language	Deutsch
credit points	4
on-campus program (h)	34
self-study (h)	86
obligation	elective module
exam	oral examination performance, 30 minutes
details of the certificate
link to Moodle course
teacher
signup details for alternative examinations
maximum number of participants
previous knowledge and experience	Analysis und Lineare Algebra, Wahrscheinlichkeitsrechnung, Mathematische Statistik
learning outcome	Die Studierenden sind in der Lage, erhobene Daten im Rahmen eines geeigneten statistischen Modells, insbesondere desjenigen der linearen Regresseion, zu analysieren und die Qualität dieser Modellierung kritisch zu prüfen.
content	Lineares Modell, Kleinste-Quadrate-Schätzer, Inferenz im Gaußschen linearen Modell, Asymptotik, Abweichungen von den Modellannahmen, Residuenanalyse, Modellwahl, optimale Versuchsplanung, Studienplanung und -protokoll, zufällige und gemischte Effekte, verallgemeinerte lineare Modelle
media of instruction and technical requirements for education and examination in case of online participation	Tafel, Skript, Aufgaben, Software
literature / references	Rao, C. R., Toutenburg, H., Shalabh and Heumann, C. (2008). Linear Models and Generalizations – Least Squares and Alternatives, Springer series in statistics, 3rd edn, Springer, Berlin. Sengupta, D. and Jammalamadaka, S. R. (2003). Linear Models – An Integrated Approach, number 6 in Series on Multivariate Analysis, World Scientific Publishing Co. Pte. Ltd., Singapore. Weisberg, S. (1980). Applied Linear Regression, John Wiley & Sons, New York.
evaluation of teaching