# Linear Models

• ### Logistic Regression: Testing Homogeneity of the Odds Ratio

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: testing for homogeneity of the odds ratio across strata, test statistics for homogeneity (Wald, score, or likelihood ratio statistics), test statistics for homogeneity with ordinal data, logistic regression, and logit for selected sampling.

• ### Logistic Regression & Common Odds Ratios Part II (with Simulations)

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: Mantel-Haenszel estimator of common odds ratio, confounding in logistic regression, univariate/multivariate analysis, bias vs. variance, and simulations.

• ### Logistic Regression & Common Odds Ratios Part I

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: logistic regression on 3-dimensional table; estimating a common odds ratio; the Cochran, Mantel-Haenzel test; and confounding in logistic regression.

• ### Generalized Linear Model Estimation and Logistic Regression

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: iterative solutions to non-linear equations, score equations for exponential class variables, Newton-Raphson vs. Fisher’s Scoring, Logistic Regression for an R × 2 tables, saturated model, odds ratios when rows are not ordinal, goodness of fit, likelihood ratio statistic for nested models, and residuals.

• ### Generalized Linear Models for Poisson Data

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: the poisson log-linear model, poisson regression, estimated rate ratio, and negative binomial distribution.

• ### Generalized Linear Models for Binary Data

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: linear probability model, non-constant variance, logistic model, logit transformation, and probit link.

• ### Introduction to Generalized Linear Models

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: linear regression, generalized linear models, link function, deviance, and modeling.

• ### Categorical Data Analysis & Generalized Linear Models

Includes detailed PowerPoints for 20 lectures for topics including generalized linear models, logistic regression, and random effects models.

• ### Penn State STAT 800: Introduction to Applied Statistics

This is a graduate level introduction to statistics including topics such as probabilty/sampling distributions, confidence intervals, hypothesis testing, ANOVA, and regression.  Perfect for students and teachers wanting to learn/acquire materials for this topic.

• ### Penn State STAT 897: Applied Data Mining & Statistical Learning

This course covers methodology, major software tools and applications in data mining. By introducing principal ideas in statistical learning, the course will help students to understand conceptual underpinnings of methods in data mining. It focuses more on usage of existing software packages (mainly in R) than developing the algorithms by the students. The topics include statistical learning; resampling methods; linear regression; variable selection; regression shrinkage; dimension reduction; non-linear methods; logistic regression, discriminant analysis; nearest-neighbors; decision trees; bagging; boosting; support vector machines; principal components analysis; clustering. Perfect for students and teachers wanting to learn/acquire materials for this topic.