As one of our final videos for BIOS 6611, we introduce the concept of the very flexible generalized linear model. The linear regression framework we've been working in this semester is a subset of a much larger world of regression models that can be considered (e.g., logistic regression, Poisson regression, etc.). The purpose of this lecture is to lay some of the groundwork for what you'll be greatly expanding next semester in BIOS 6612 as it comes to generalized linear models, exponential families, and link functions.

A video for the Biostatistical Methods I (BIOS 6611) course in the Department of Biostatistics and Informatics at the University of Colorado-Anschutz Medical Campus taught by Dr. Alex Kaizer. Slides and additional material available at https://www.alexkaizer.com/bios_6611.

Table of Contents:

00:00 - Intro Song
00:17 - Welcome
01:08 - Generalized Linear Models Definition
05:52 - Exponential Families
09:58 - Link Functions
11:52 - GLM Components
15:39 - Normal Dist as Exponential Family
21:46 - Linear Regression with GLMs