, Methods in Transportation Econometrics and Statistics (Master)
TU Dresden » ... » Professur für Ökonometrie und Statistik, insbes. im Verkehrswesen » Studium » VL Verkehrsökonometrie

Dr. Treiber






of formulas
and tables

old exams/alte Klausuren


Methods in Transportation Econometrics and Statistics (Master), Winter 2023/24


(2024-01-26) Due to a stronger cold, I could not give the tutorial today. The next lecture on next Tue will hopefully not be affected. Then, I will do the repetitions of the topics most requested by you in the last survey. The last working sheets will be treated on Friday.

(2024-01-17) Information on the examination is now online.

(2023-12-19) The analysis of the stated preference survey in the auditorium is online.

(2023-12-05) The often requested collection of statistical formulas is online. Not everything is covered in this lecture, nor is this collection complete. Still it may be useful. Notice: it also contains tables of often used distribution functions and their inverse (quantiles)

(2023-11-03) I have included a table of the student-t quantiles to the problems of Tutorial 3

(2023-09-30) There is also a Opal site to this course but the downloadable materials are here.

(2023-09-30) The lectures start on Tue, Oct 10, 2023, and the tutorial on Fri, Oct 13, 2023

(2023-09-30) While the online lessions are still available, I recommend the lectures in presence since this is more effective.

Dates and Times

Event Date Time Location Lecturer
Lecture Tuesday 5. DS POT 51 Dr. Martin Treiber
Tutorial Friday 3. DS POT 13 Dr. Martin Treiber


This semester's examination will be a written exam in presence.

It takes place On the 6th February at 11:10 in the room HSZ/03 (Hörsaalzentrum, Lecture Hall #3)

Allowed materials/ressources:

  • pocket calculator (may be programmable/graphical but not necessary),

  • lecture notes (both mine and self-written ones),

  • problems and their solutions, also past examinations + solutions (see below),

  • a collection of the most important formulas and/or a "cheat sheet"
Don't bring too much! Otherwise, you will be overwhelmed by your materials. The problems will not be the same as the past ones, anyway. Your best bet will be to prepare a cheat sheet ("Spickzettel")

Hints for your preparation

  • Generally, all problems treated in the lectures, lecture notes, videos and tutorials (up to Lecture/Tutorial 13) are candidates, apart from Lecture/Tutorial 11 which will not be part of this year's examination

  • Whatch out!. If there are questions of understanding ("give the meaning of β3"), answer them in the context of the problem setting ("the decrease in utility of a used car per additional year of its age") rather then generally ("age sensitivity").

  • Past examinations including their solutions are available (the most recent ones in English, the former ones in German, see left-hand navigation panel).

  • Hot topics ( boldface topics will appear with an increased probability, not mentioned ones with a reduced probability):

    • General econometric concepts such as the meaning of exogenous or endogenous variables and of model aprameters. Can appear as small standalone problems, or as questions within a problem

    • regression models, particularly model specification, how to treat qualitative variables, model plausibility, confidence intervals and tests including p-values

    • Elasticities

    • Bayesian vs frequentist statistics

    • Revealed und Stated Choice including choice-based conjoint analysis and the design of choice Sets

    • Discrete-choice models: General mathematical description, IIA property, MNL and NL models

    • deterministic utility and how to treat qualitative variables

    • maximum-likelihood estimation (including property sums and a graphical solution), significance, parameter and likelihood-ratio tests

    • Leontief's Input-Output Model and Life-Cycle Assessment (no EIO-LCA)


Youtube channel of this course

Materials for Download


Lecture Slides (English)

Vorlesungsskript (in German)

Notice: The English (not the German) slides will be complete enough so that the German lecture notes below will not be needed for the English speaking students

Das Skript ist teils ausführlicher als der in der Vorlesung behandelte Stoff. Die Abschnitte mit dem Einstein-Symbol sind nicht prüfungsrelevant, geben aber für mathematisch Interessierte Hintergrundinformationen, die anderswo wohl nicht zugänglicher zu finden sein werden.

Surveys and other Supplemental Material (German)

Collection of statistical formulas

Further Reading

  • Classic Regression Models
    • Jeffrey M. Wooldridge, Introductionary Econometrics, a Modern Approach Thomson South-Western, USA (2002), ISBN 0-324-11364-1.
  • Discrete-Choice Models
    • Ben-Akiva, Lerman, Discrete Choice Analysis: Theory and Application to Travel Demand , MIT Press Series in Transportation Studies, ISBN-10:0262022176). The standard textbook authored by one Nobel-price winner
    • Kenneth Train, Discrete Choice Methods with Simulation. Can be freely downloaded at the Berkeley site. Particularly relevant are the first five chapters.
    • Koppelmann/Bath, a Self Instructing Course in Mode Choice Modeling: Multinomial and Nested Logit Models. Freely downloadable at the University of texas site.

Kommentierte Literaturempfehlungen (deutsch)

  • Lineare Modelle
    • Eckey, Kosfeld, Dreger, Ökonometrie, Gabler-Verlag, Wiesbaden (1995). Behandelt hauptsächlich die "klassische" Ökonometrie, also im Wesentlichen multivariate lineare Modelle, insbesondere Regression. Schöne Darstellung der verschiedenen Modellkategorien der Ökonometrie. Geht gleich im 2. Kapitel zur Vektor-Matrix-Darstellung über. Für die, die es wirklich wissen wollen: Beispielsweise, warum der Fehlerquadratschätzer effizient ist oder warum im Varianzschätzer (n-K-1) und nicht n im Nenner ist.
    • Von Auer, Ökonometrie, Springer-Verlag, Berlin, Heidelberg (1999). Elementarere Darstellung der klassischen linearen Ökonometrie ohne Vektor-Matrix-Notation. Sehr instruktiv ist die kritische Hinterfragung der verschiedenen Annahmen, welche bei der Parameterschätzung linearer Modelle gemacht werden.
    • Joachim Frohn, Grundausbildung in Ökonometrie, de Gruyter, Berlin (1995). Gute Darstellung der Modellspezifikation und der Maximum-Likelihood-Methode.
  • Modelle der diskreten Wahltheorie
    • Gunther Maier und Peter Weiss, Modelle diskreter Entscheidungen, Springer-Verlag Wien New York (1990). Das deutsche Standardwerk für die Modelle der diskrete Wahltheorie. Bemerkenswerterweise wird diese, für di3 Verkehrsökonometrie sehr wichtige Modellklasse in den anderen deutschsprachigen Büchern nahezu komplett ignoriert.
    • W. Schnabel, D. Lohse, Grundlagen der Straßenverkehrstechnik, Band 2 , Verlag für Bauwesen, Berlin, ISBN 3-345-00567-0 Verkehrsplanerischer Hintergrund, nützlich zum Verständnis vieler Aufgaben und Beispiele.
  • Input-Output-Modelle
    • Richter, Verkehrsökonometrie, Oldenbourg-Verlag, München.

Martin Treiber