Data Analysis & Statistics

Regression

• Multivariable Methods (Boston University Biostatistics) - includes some video
• How to Choose the Best Regression Model (Minitab Blog)
• Comprehensive: Introduction to Multiple Regression doc (Dale Berger, WISE)
• Complete Class: STAT 462: Applied Regression Analysis (PennState)
• Video: Multiple Regression (Statistics Learning Centre)
• Video Series: Quantiative Methods (dataminingincae) - ~2 hrs over 8 videos covering simple and multivariate regression, model fit, dummy variables, and confidence. It displays output and includes a tutorial on Gretl, but all output elements can be found in any software.
• Video Series: Statistics 101 (Brandon Foltz) - 20 playlists, each containing multiple videos, on topics including Simple (~4.5 hrs), Multiple (~45 min), Logistic (~1.5 hrs), and Non-Linear (~1.2 hrs) Regression. Very thorough conceptually.

Residuals & Model Fit

• How Do I Interpret R-squared and Asses the Goodness-of-Fit? (Minitab Blog)
• Regressions and Residuals Handout pdf (GMU Data Services)
• Comprehensive: Interpreting residual plots to improve your regression (Statwing)
• Video:  Residuals (Steve Mays)

Regression Topics

• Dummy variable (Wikiversity)
• Video: Factor Variables 6min (LinkedIn Learning)
• Indicator Variables pdf (GMU Data Services)
• Interpreting Regression Coefficients (Analysis Factor)
• Intepret Regression Coefficient Estimates - level-level, log-level, level-log & log-log regression (Curtis Kephart)
  • See also Log Transformation for Better Fits (A New View of Statistics)
• Multicollinearity: Brief (Stats Make Me Cry) Comprehensive (Serious Statistics)

Analysis of Variance (ANOVA)

• ANOVA Test: Definition, Types, Examples, SPSS (Statistics How To)
• Statistical Soup: ANOVA, ANCOVA, MANOVA, & MANCOVA (Stats Make Me Cry)
• The Various Forms of ANOVA (Statistics Solutions)
• Two-factor designs 2 x 2 ANOVA (Nature Methods)

ANOVA vs Regression

• ANOVA vs Regression (Statistics How To)
• Why ____ are the Same Analysis: ANOVA and Linear Regression and  ANCOVA and GLM (The Analysis Factor)
• When does Repeated Measures ANOVA not work for Repeated Measures Data? (The Analysis Factor)
• Video: Comparison of ANOVA and Linear Regression in SPSS (Dr. Todd Grande) ~10.5 min
• Video: Statistics 101: Model Building, GLM Relationships Between ANOVA and Linear Regression (Brandon Foltz) ~25 min

ANOVA Topics

• Simple Effects, Simple Contrasts, and Main Effect Contrasts pdf (Newsom)

Generalized Linear Models

These are when the dependent variable is not continuous.

Logistic Regression

• How do I interpret Odds Ratios in Logistic Regression (UCLA)
• Video: Logistic Regression: Clearly Explained! (StatQuest)
• Logistic Regression (Analysis Factor)
• What are pseudo R-squared? (UCLA)

Mixed & Multi-level Modeling

• An Introduction to Hierarchical Modeling
  • Graphical introduction to the concepts, including Random  Intercept and Random Slope
• LEMMA: Learning Environment for Multilevel Methods and Applications
  • Free (requires registration) course from the center for Multilevel modeling that covers multiple regression and more.
• Germán Rodríguez
  • ​Course materials on GLM and GLMM using Stata and R
• Linear Models and Mixed Models with R by Bodo Winter
  • See Part I and Part 2
  • Although using R, this set of tutorials explains the important concepts