Statistics Module 2: Linear Models and Linear Mixed Models with R

Beginn: 11.12.2017
Ende: 14.12.2017
Vortragende(r): Dr. Fränzi Korner-Nievergelt
Oikostat
Ort: Seewiesen
Raum: Seminar Room House 4
Gastgeber: IMPRS for Organismal Biology
Kontakt: mhieber@orn.mpg.de

Linear models (LM) and linear mixed models (LME): Linear Regression, multiple Regression, ANOVA, ANCOVA, model selection (group work), linear mixed models, work on own data

Day 1 LM: Linear Regression, multiple Regression, ANOVA, ANCOVA

least-square method
parameterisation
interactions
tests (marginal and sequential)
model assumptions
predictions
introduction to Bayesian data analysis
posterior distributions

Day 2 LME: model selection (group work), linear mixed models

maximum likelihood, restricted maximum likelihood
random and fixed effects
likelihood ratio test / bootstrap
random slopes-random intercept models
possibly further model types depending on the participants wishes

Day 3 LME:

model matrix
predictions, posterior probabilities of hypotheses
preparing data for work on own data

Day 4 projects: work on own data and presentations

Prerequisite for participation: basic knowledge in statistics

Course material book: Korner-Nievergelt, F., T. Roth, S. Von Felten, J. Guélat, B. Almasi, and P. Korner-Nievergelt. 2015. Bayesian Data Analysis in Ecolog Using Linear Models with R, BUGS, and Stan. Elsevier, New York.