Multilevel Models: Part 2Explores advanced techniques in multilevel modeling, including fitting separate models, estimating coefficients, and checking residuals for model evaluation.
Geometry and Least SquaresDiscusses the geometry of least squares, exploring row and column perspectives, hyperplanes, projections, residuals, and unique vectors.
Linear Regression BasicsCovers the basics of linear regression, instrumental variables, heteroskedasticity, autocorrelation, and Maximum Likelihood Estimation.
Nonparametric RegressionCovers nonparametric regression, scatterplot smoothing, kernel methods, and bias-variance tradeoff.
Model Checking and ResidualsExplores model checking and residuals in regression analysis, emphasizing the importance of diagnostics for ensuring model validity.
Regression: Linear ModelsIntroduces linear regression, generalized linear models, and mixed-effect models for regression analysis.
Nested Model SelectionExplores nested model selection in linear models, comparing models through sums of squares and ANOVA, with practical examples.