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Related lectures (30)
Model Selection Criteria: AIC, BIC, Cp
Explores model selection criteria like AIC, BIC, and Cp in statistics for data science.
Logistic Regression: Model Interpretation and Comparison
Explores logistic regression model interpretation, parameter estimation, and model comparison using likelihood ratio tests.
Generalised Linear Models: Regression with Exponential Family Responses
Covers regression with exponential family responses using Generalised Linear Models.
Logistic Regression: Statistical Inference and Machine Learning
Covers logistic regression, likelihood function, Newton's method, and classification error estimation.
Weighted Least Squares Estimation: IRLS Algorithm
Explores the IRLS algorithm for weighted least squares estimation in GLM.
Assessing Significance and Fit
Covers confidence intervals, R2, and examples on cement heat evolution and car horsepower-MPG relationships.
Maximum Likelihood: Inference and Model Comparison
Explores maximum likelihood inference, model selection, and comparing models using likelihood ratios.
Likelihood Estimation and Least Squares
Introduces simple and multiple normal linear regression, and maximum likelihood estimation with practical examples.
Statistical Justification of Least Squares
Explores the statistical justification of Least Squares and Generalized Linear Models.
Testing: Likelihood Ratio Test
Covers the likelihood ratio test in choice models, benchmarking, and tests for taste variations and nonlinear specifications.
Regression: Linear Models
Introduces linear regression, generalized linear models, and mixed-effect models for regression analysis.
Maximum Likelihood Inference
Explores maximum likelihood inference, comparing models based on likelihood ratios and demonstrating with a coin example.
Generalized Linear Regression: Classification
Explores Generalized Linear Regression, Classification, confusion matrices, ROC curves, and noise in data.
Logistic Regression: Modeling Binary Response Variables
Explores logistic regression for binary response variables, covering topics such as odds ratio interpretation and model fitting.
Linear Regression: Estimation and Inference
Explores linear regression estimation, linearity assumptions, and statistical tests in the context of model comparison.
Horseshoe Crabs: Logistic Regression Analysis
Explores logistic regression analysis of horseshoe crab data, focusing on odds ratio interpretation and model fitting.
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.
Logistic Regression: Vegetation Prediction
Explores logistic regression for predicting vegetation proportions in the Amazon region through remote sensing data analysis.
Generalized Linear Models: A Brief Review
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Provides an overview of Generalized Linear Models, focusing on logistic and Poisson regression models, and their implementation in R.
Statistical Inference: Linear Models
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Explores statistical inference for linear models, covering model fitting, parameter estimation, and variance decomposition.
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