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Lecture
Inference: Model Checking
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Generalized Additive Models: Applications and Techniques
Explores Generalized Additive Models, covering basics, smooth functions, penalties, practical examples in R, and linear mixed models.
Generalized Linear Models: Theory and Applications
Covers the theory and applications of Generalized Linear Models, including MLE, measures of fit, shrinkage, and special examples.
Regression Methods: Model Building and Diagnostics
Explores regression methods, covering model building, diagnostics, inference, and analysis of variance.
Regression and Classification
Explores regression, classification, linear models, decision trees, and random forests in data analysis.
Machine Learning Fundamentals: Regularization and Cross-validation
Explores overfitting, regularization, and cross-validation in machine learning, emphasizing the importance of feature expansion and kernel methods.
Generalized Linear Models: GLMs for Non-Gaussian Data
Explores Generalized Linear Models for non-Gaussian data, covering interpretation of natural link function, MLE asymptotic normality, deviance measures, residuals, and logistic regression.
Parametric Models
Explores statistical estimation, regression models, and model selection in parametric models.
Model Checking and Residuals
Explores model checking and residuals in regression analysis, emphasizing the importance of diagnostics for ensuring model validity.
Nonparametric Regression
Covers nonparametric regression, scatterplot smoothing, kernel methods, and bias-variance tradeoff.
Regression Methods: Spline Smoothing
Covers regression methods focusing on spline smoothing and penalised fitting to balance data fidelity and smoothness.