Course: Advanced regression methods

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Course title Advanced regression methods
Course code KBE/051E
Organizational form of instruction Lecture + Lesson
Level of course Doctoral
Year of study not specified
Frequency of the course In academic years starting with an even year (e.g. 2020/2021), in the winter semester.
Semester Winter
Number of ECTS credits 5
Language of instruction English
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Šmilauer Petr, doc. RNDr. Ph.D.
Course content
Content of lectures: Linear, generalized linear and generalized additive models; mixed-effect models - nested and (partially) crossed random effects, modelling correlation structure, GLMM, GAMM; survival analysis with random effects, zero-inflated and zero-truncated models, advanced regression trees and random forests, analysis of phylogenetic data, point pattern analysis; model selection using parsimony, model averaging; bootstrap methods Content of practicals: Practicals are inter-mixed with lectures, complementing the theory

Learning activities and teaching methods
Monologic (reading, lecture, briefing), E-learning
  • Preparation for credit - 28 hours per semester
  • Class attendance - 42 hours per semester
  • Preparation for classes - 28 hours per semester
  • Preparation for exam - 28 hours per semester
Learning outcomes
Students will learn advanced ways of modelling data in natural sciences, with a focus on models with a combination of random and fixed effects and also on the selection of model complexity. Students should be enabled to work with such statistical models independently in their research. An important component are the homeworks evaluated by teacher.
Students will be able to choose correctly - for datasets produced in the field of natural sciences - the type of regression models: coding of explanatory variables, choice of fixed and random effects, scale transformation for explanatory and response variables, testing significances of individual effects, methods of selection of explanatory variables. They will be also able to effectively apply advanced types of tree models (e.g. boosted regression trees, regression forests). They will manage the use of methods modelling phylogenetic correlations among taxa in the field of comparative ecology and to correctly use the non-parametric generalized additive models (GAM and GAMM).
Prerequisites
Basic knowledge of working with R software, namely fitting and interpreting linear regression, ANOVA, and GLMs, is assumed and checked by an introductory test. Minimum of B+C students: 5
KBE/050
----- or -----
KBE/785E

Assessment methods and criteria
Written examination, Interim evaluation

Students should study the materials provided by lecturer before the corresponding topic is discussed in the lecture-practicals. Students are provided with homeworks (5-7 times) during the term, and their solutions are scored by the lecturer. The credit before exam is based on introductory test (0-10 points) and points for the correctly solved homeworks (1 pt per fully correct solution): their sum must be at least 12. Exam is written - two examples to be analysed, scored with 0-10 points. To successfully pass, at least 4 points must be gained.
Recommended literature
  • A. Zuur et al. (2009): Mixed effect models and extensions in ecology with R. Springer..
  • K.P. Burnham, D.R. Anderson (1998): Model selection and multimodel inference, 2nd Edition, Springer..


Study plans that include the course
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