STAT 452: Correlated Data
Welcome!
Schedule
Learning Goals
General Skills
Course Topics
Foundations
Time Series
Longitudinal
Spatial
I Technology
R and RStudio Setup
Troubleshooting
Git & Github
Github Setup
Git/Github Overview
R Resources
Time Series R resources
Spatial resources
Tidyverse resources
Visualization resources
General R resources
Free online textbooks
II Foundations
1 Introduction
Learning Goals
Introductions
Group Activity: Playing with Data
Directions
Data Context: Temperatures & Energy Use
Exercises
2 Probability Review
Today’s Learning Goals
Probability Warm Up
Group Activity: Covariance Challenge!
Setup
Challenges
3 Random Processes
Today’s Learning Goals
Group Activity
Covariance Matrix
Generating Correlated Data
4 Modeling Covariance
Learning Goals
Warm Up
Group Activity
Theory
Conceptual Practice
5 Model Components and Detrending
Learning Goals
Group Activity
Data Context
Estimating Trend
Estimating Seasonality
Concept: Differencing
III Time Series
6 ACF and Random Walk
Learning Goals
Group Activity
Data Motivation: Marine Diversity during the Phanerozoic
Random Walk
7 AR and MA Models
Learning Goals
Class Warm Up
MA(1)
Group Theory
AR(1)
Name that Model
Data set 1
Data set 2
Data set 3
Data set 4
Data set 5
Data set 6
8 ARMA Models
Learning Goals
Name that Model
Data set 1
Data set 2
Data set 3
Data set 4
Data set 5
Data set 6
9 ARIMA and SARIMA Models
Learning Goals
Backshift Operators
Simulate that Model
IV Longitudinal
10 Introduction to Longitudinal Data
Learning Goals
Warm Up: Data Examples
Longitudinal Notation
Linear Models
OLS
Group Work: GLS
11 GLM + GEE
Learning Goals
Group Activity
Introduction to ACTIVE study Data
Explore the Data
Discuss Models
Fit Models
12 Mixed Effects
Learning Goals
Notation
Warm Up
Group Activity
Model Selection
13 GEE v Mixed Effects
Learning Goals
Group Work
V Spatial
14 Intro to Three Types of Spatial Data
Learning Goals
Warm Up
Group Work
Spatial Graphics
15 Intro to Areal Data
Learning Goals
Warm Up
Small Group Work
16 SAR and CAR Models
Learning Goals
Small Group Work
VI Checkpoints
Checkpoint 1
Part 1: Covariance Matrices
Part 2: Estimate Covariance and Correlation
Checkpoint 2
Macalester Energy Use
Checkpoint 3
Github Setup
Revisit Checkpoint 2
Visualize
Detrend & Decompose
Modeling Errors
Predicting the Future
Checkpoint 4
Github Setup
Data Context
Research Question
Models
References
Checkpoint 5
Github Setup
Models
Model Selection
Hypothesis Testing for Fixed Coefficients (one at a time)
Hypothesis Testing for Fixed Coefficients (many at one time)
Diagnostics
Checkpoint 6
Github Setup
Data Context and Research Question
Data Context
Develop Research Question
Visualizations
Neighborhood Structure
OLS Model
Spatial Correlation
Checkpoint 7
Github Setup
Data Context and Research Question
Refine Research Question
Visualizations
Neighborhood Structure
OLS Model
Spatial Correlation
Spatial Models
VII Mini Projects
Mini Project 1
Github Setup
Time Series Mini Project
Mini Project 2
Github Setup
Longitudinal Mini Project
Mini Project 3
Spatial Mini Project
Capstone Project
Github Setup
Final Project
Published with bookdown
STAT 452: Correlated Data
13 GEE v Mixed Effects
Learning Goals
Explain and illustrate the differences between GEE and Mixed Effects Models
Group Work
Go to
Checkpoint 5
and work with your partner.