M7222 Generalized linear models

Faculty of Science
Autumn 2007
Extent and Intensity
2/1. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
RNDr. Marie Forbelská, Ph.D. (lecturer)
Guaranteed by
RNDr. Marie Forbelská, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Fri 8:00–9:50 U1
  • Timetable of Seminar Groups:
M7222/01: Fri 10:00–10:50 U1
Prerequisites
M6120 Linear Models in Statistics II
Basic knowledge of the theory of estimation and knowledge of linear statistical models.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The course is aimed to generalized linear models which are lately frequently used for analysing real data in many branches such as in biology, medicine, sociology and others. The first part of the course is devoted to the theory of the generalized linear models then gamma, poisson, logistic regression and theory of log-linear models follow. Throughout the course the computer packages outputs are used to demonstrate real data processing.
Syllabus
  • Selected topics of statistical estimation theory: family of regular densities, efficiency and Rao-Cramer lower bound, exponential family of distributions, maximal likelihood estimation and its properties. Theory of generalized linear models: generalization of classical linear regression model, construction of generalized linear model and its description, model fitting, minimal, maximal models, submodels, goodness-of-fit measures and residua, testing of adequacy of a model, diagnostics. Gamma regression, models for binary and binomial data, logistic regression, dose response models, models for nominal and ordinal data, Poisson regresion, log-linear models and contingency tables.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2007, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2007/M7222