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Multiple Regression Methods
Multiple Regression Methods
Scientific Generalization
The Integration of Statistics and Science
Simple Correlation and Regression
Correlation - Descriptive Use
Geometric Interpretation
Regression - Descriptive Use
Inference for Regression
Examining Model Assumptions
Prediction
Inference regarding
Using Data Transformations in Regression
Using Transformations
Analysis of Variance for Regression
Multiple Regression
Assumptions of the Multiple Regression Model
Fitting the Multiple Linear Regression Model
Applying Multiple Regression
Initial variable selection
Initial data examination
Examining the Regression Coefficients
Predictions
Examining Assumptions
Examining Linearity
Examining the pattern of dispersion
Examining normality
Applying a Variance Stabilizing Transformation
Influence diagnostics
Analysis of Variance/Covariance
Allowing for varying slope terms
Allowing for more than 2 categories
Analysis of Variance: groups of variables
Multi-collinearity
Model Building Strategies
Descriptive Studies
Model Interpretation
Variable Selection in Model Building
Polynomial Regression
The Partial Analysis of Variance Table
Automatic variable selection procedures
Forward selection
Backward selection
Stepwise selection
The hidden scandal of statistics
Logistic Regression
The Logistic Curve
Fitting a Logistic Curve
Multiple Logistic Regression
Mathematical review: Odds and Logs
Odds and Odds Ratios
Logarithms
Odds and Logs and Logistic Regression
An example
Logistic regression: Inference
Sampling behaviour of the m.l.e.'s
Multi-parameter inferences
Examining the Fit of the Logistic Model
Predictive strength of the fit
Generalized residuals: Observed - Expected proportions
Goodness of Fit
Sampling Design and the Logistic Regression Model
Ordinal Logistic Regression
Regression Models for Survival Data
Regression models for Survival Data
Proportional Hazards Models
The Exponential Distribution
Non-constant Hazards Models
The Cox Proportional Hazards Model
Assumptions of the Cox Model
Interpreting the Fitted Model
Relative Risks: Instantaneous vs. Cumulative
Additional Topics
Analysis of Aggregated Data
Aggregated Binary Data
Aggregated Event Data
Analysis of Cross Classified Data
Analysis of Aggregate Means
About this document ...
Rollin Brant 2004-03-24
