Advanced Regression Models with SAS and R

Advanced Regression Models with SAS and R

by Olga Korosteleva, Weibin Guo

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Product Details

ISBN-13: 9781138049017
Publisher: Taylor & Francis
Publication date: 12/10/2018
Pages: 324
Product dimensions: 7.00(w) x 10.00(h) x (d)

About the Author

Olga Korosteleva is an associate professor of statistics in the Department of Mathematics and Statistics at California State University, Long Beach (CSULB). She received a Ph.D. in statistics from Purdue University.

Table of Contents

1 Introduction: General and Generalized Linear Regression Models

Definition of General Linear Regression Model

Definition of Generalized Linear Regression Model

Parameter Estimation and Significance Test for Coefficients

Fitted Model

Interpretation of Estimated Regression Coefficients

Model Goodness-of-Fit Check

Predicted Response

SAS Implementation

R Implementation

Example

Exercises

2 Regression Models for Response with Right-skewed Distribution

Box-Cox Power Transformation

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Gamma Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Exercises

3 Regression Models for Binary Response

Binary Logistic Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Probability

SAS Implementation

R Implementation

Example

Prohibit Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Probability

SAS Implementation

R Implementation

Example

Complementary Log-Log Model

Model Definition and Development

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Probability

SAS Implementation

R Implementation

Example

Exercises

4 Regression Models for Categorical Response

Cumulative Logit Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Probabilities

SAS Implementation

R Implementation

Example

Cumulative Prohibit Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients 2

Predicted Probabilities

SAS Implementation

R Implementation

Example

Cumulative Complementary Log-Log Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Probabilities

SAS Implementation

R Implementation

Example

Generalized Logit Model for Nominal Response

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Probabilities

SAS Implementation

R Implementation

Example

Exercises

5 Regression Models for Count Response

Poisson Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Zero-truncated Poisson Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

Implementation

R Implementation

Example

Zero-inflated Poisson Regression Model

Model Definition

Fitted Model 3

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Hurdle Poisson Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Exercises

6 Regression Models for Over-Dispersed Count Response

Negative Binomial Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Zero-truncated Negative Binomial Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Zero-inflated Negative Binomial Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Hurdle Negative Binomial Regression Model

Model Definition 4

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Exercises

7 Regression Models for Proportion Response

Beta Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Zero-inflated Beta Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

One-inflated Beta Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Zero-one-inflated Beta Regression Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Predicted Response

SAS Implementation

R Implementation

Example

Exercises

8 General Linear Regression Models for Repeated Measures Data

Random Slope and Intercept Model

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Model Goodness-of-Fit Check

Predicted Response

SAS Implementation

R Implementation

Example

Mixed Model with Covariance Structure for Error

Model Definition

Coefficients, and Predicted Response

Model Goodness-of-_t Check

SAS Implementation

R Implementation

Example

Generalized Estimating Equations Model

Model Definition

Fitted Model

Model Goodness-of-Fit Check

SAS Implementation

R Implementation

Example

Exercises

9 Generalized Linear Regression Model for Repeated Measures Data

Generalized Linear Mixed Model

Models Definition

Fitted Model, Interpretation, Prediction

Model Goodness-of-Fit Check

SAS Implementation

R Implementation

Example

Generalized Estimating Equations Model

Model Definition

SAS Implementation

R Implementation

Example

Exercises

10 Hierarchical Regression Model

Hierarchical Regression Model for Normal Response

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Model Goodness-of-Fit Check

Predicted Response

SAS Implementation

R Implementation

Example

Hierarchical Regression Model for Other Distributions

Model Definition

Fitted Model

Interpretation of Estimated Regression Coefficients

Model Goodness-of-Fit Check

Predicted Response

SAS Implementation

R Implementation

Examples

Exercises

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