Generalized Linear Models - NMFP402
Title: Zobecněné lineární modely
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2024
Semester: summer
E-Credits: 5
Hours per week, examination: summer s.:2/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: English, Czech
Teaching methods: full-time
Is provided by: NMST412
Guarantor: doc. Mgr. Michal Kulich, Ph.D.
Class: M Mgr. FPM
M Mgr. FPM > Povinné
Classification: Mathematics > Financial and Insurance Math.
Incompatibility : NMST412, NMST432
Pre-requisite : NMFP401
Interchangeability : NMST412
Is incompatible with: NMST412
In complex pre-requisite: NMST539, NMST547
Opinion survey results   Examination dates   SS schedule   Noticeboard   
Annotation -
This course extends the foundations of linear regression. It covers regression models for non-normal data and discrete responses. The practice sessions combine theoretical and practical exercises with main focus on analyses of various types of econometric, financial and technical data. The course includes a final project.
Last update: Branda Martin, doc. RNDr., Ph.D. (11.12.2020)
Aim of the course -

To explain regression models for non-normal data.

Last update: Kulich Michal, doc. Mgr., Ph.D. (11.12.2020)
Course completion requirements

Tutorial credit requirements:

Three homework assignments will be given during the semester. Each homework solution will be assessed as one of the following: Satisfactory (worth 2 points), Borderline satisfactory (worth 1 point), Unsatisfactory (0 points). Only students who get in total at least 5 points will get the course credit. It is possible to correct one borderline satisfactory report. An unsatisfactory report cannot be corrected.

The nature of these requirements precludes any possibility of additional attempts to obtain the tutorial credit. The tutorial credit is necessary to sign up for the exam.

Last update: Kulich Michal, doc. Mgr., Ph.D. (10.02.2025)
Literature -

J.W. Hardin and J.M. Hilbe: Generalized Linear Model and Extensions. StataPress, 2007.

A. Agresti: Categorical Data Analysis. Wiley, 1990.

Last update: Kulich Michal, doc. Mgr., Ph.D. (11.12.2020)
Teaching methods -

Lecture + exercises.

Last update: Zichová Jitka, RNDr., Dr. (20.05.2022)
Requirements to the exam

The exam has two parts: (1) Evaluation of applied project report and (2) Theoretical oral part. To pass the exam, both parts need to be passed.

Requirements for the exam comprise the entire contents of the lectures and exercise sessions.

Last update: Kulich Michal, doc. Mgr., Ph.D. (11.12.2020)
Syllabus -

1. Generalized linear model

2. Binary response regression

3. Loglinear model

4. Extensions of generalized linear model, quasilikelihood, sandwich estimator of variance

Last update: Kulich Michal, doc. Mgr., Ph.D. (11.12.2020)
Entry requirements

This course assumes mid-level knowledge of linear regression (both theory and applications) and good understanding of maximum likelihood theory.

Last update: Kulich Michal, doc. Mgr., Ph.D. (11.12.2020)