Crash course on GLMs

Hierarchical and Mixed Effects Models in R

Richard Erickson

Data Scientist

Assumption of normality

Residuals are "normal"
Transformation
"The arcsine is asinine:..."
Alternative distributions

R syntax for GLM

glm(y ~ x, family = "gaussian")

?family

Example plot of Poisson distribution with lambda equal to 3 regression

Example with Poisson regression

glm(y ~ x, family = "poisson")

Example plot of a logistic regression.

Example with logistic regression

# binary: y = 0 or 1
glm(y ~ x, family = "binomial")

# Wilkinson-Rogers: cbind(success, failure)
glm(cbind(success, failure) ~ x, family = "binomial")

# Weighted format: y = 0.3, weights = 10
glm(y ~ x, weights = weights, family = "binomial")

Let's practice!

Hierarchical and Mixed Effects Models in R