Discrete data analysis.
[STAT2100]
[22.5h + 7.5h] 5 credits
This course is taught in the 2d semester.
Teacher(s): Jean-Marie Rolin
Language: French
Level: Second
Aims
Main themes
- Two ways Contingency Tables : Independance and Homogeneity, measures of association and particular tests (Fisher, Mac Nemar, etc.).
- Multiple ways Contingency Tables : Mutual, Partial and Conditional Independencies.
- Log-linear Models.
- Conditional Models
- Generalized Linear Models
- Logit and Probit Models
- Multinomial Discriminant Analysis
- Selection of explanatory variables
Content and teaching methods
- Multinomial Distribution : marginal and conditional distributions and asymptotic properties
- Two ways Contingency Tables : Independance and Homogeneity, measures of association and particular tests (Fisher, Mac Nemar, etc.).
- Multiple ways Contingency Tables : Mutual, Partial and Conditional Independencies.
- Log-linear Models.
- Conditional Models
- Generalized Linear Models
- Logit and Probit Models
- Multinomial Discriminant Analysis
- Selection of explanatory variables
Methods
The course is concentrated on the first ten weeks. The following 4 weeks are devoted to the realization by each student of an empirical study of suitable data.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Elementary courses in Probability and Statistics
Evaluation
Each student is provided a data set to be analyzed by the taught techniques.
This analysis is the object of a report orally presented by the student to the Professors.
During this presentation, the Professors may question the student on the matter of the course.
Support
The third reference is the basic reference. Other materials will be provided to students.
Assistant
Isabelle De Macq
References
Bishop Y.M.M., Fienberg S.E. and P.W. Holland (1975) : Discrete Multivariate Analysis, Theory and Practice, M.I.T. Press, Cambridge, Mass.
Dobson Annette (1990) : An Introduction to Generalized Linear Models, Chapman and Hall, London.
Gérard G. and J.M. Rolin (1979) : Analyse des données discrètes, Recyclage en statistique, vol. 3, Université catholique de Louvain, Louvain-la-Neuve.