Elementary Regression Modeling

Elementary Regression Modeling
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Описание книги

Elementary Regression Modeling by Roger A. Wojtkiewicz builds on simple differences between groups to explain regression and regression modeling. User-friendly and immediately accessible, this book gives readers a thorough understanding of control modeling, interaction modeling, modeling linearity with spline variables, and creating research hypotheses that serve as a conceptual basis for many of the processes and procedures quantitative researchers follow when conducting regression analyses.

Оглавление

Roger A. Wojtkiewicz. Elementary Regression Modeling

Elementary Regression Modeling

Brief Contents

Detailed Contents

Preface. Purpose of the Book

Intended Audience

Unique Contributions

Special Features

Acknowledgments

About the Author

1 Introductory Ideas

Regression Modeling

Control Modeling

Modeling Interactions

Modeling Linearity with Splines

Testing Research Hypotheses

Classical Approach to Regression

Disadvantages of Classical Approach

Discrete Approach to Regression

Summary

Key Concepts

2 Basic Statistical Procedures

Individual Units and Groups

Measurement

Level of Measurement

Examples for Level of Measurement

Count, Sum, and Transformations

Mean

Proportion and Percentage

Odds and Log Odds

Examples of Means and Log Odds

Differences

Summary

Key Concepts

Chapter Exercises

3 Regression Modeling Basics

Difference Between Means: The t Test

Linear Regression With a Two-Category Independent Variable

Logistic Regression With a Two-Category Independent Variable

Linear Regression With a Four-Category Independent Variable

Logistic Regression With a Four-Category Independent Variable

Modeling Linear Effect With Dummy Variables

Linear Coefficient in Linear Regression

Linear Coefficient in Logistic Regression

Using Dummy Variables for a Continuous Variable

Summary

Key Concepts

Chapter Exercises

4 Key Regression Modeling Concepts

Unit Vector: Estimating the Intercept

Nestedness

Higher Order Differences

Constraints

Summary

Key Concepts

Chapter Exercises

5 Control Modeling

Elementary Control Modeling

Elaboration for Controlling

Demographic Standardization for Controlling

Small and Big Models

Allocating Influence With Multiple Control Variables

One-at-a-Time Without Controls

Step Approach

One-at-a-Time With Controls

Hybrid Approach

Nestedness and Constraints

Example Using Logistic Regression

Summary

Key Concepts

Chapter Exercises

6 Modeling Interactions

Interactions as Conditional Differences

Interactions Between Dummy Variables

Interactions Between Dummy Variables and an Interval Variable

Three-Way Interactions

Estimating Separate Models

Example Using Logistic Regression

Summary

Key Concepts

Chapter Exercises

7 Modeling Linearity With Splines

Dummy Variables Nested in Interval Variable

Introduction to Knotted Spline Variables

Spline Variables Nested in an Interval Variable

Regression Modeling Using Spline Variables

Working With a Continuous Independent Variable

Example Using Logistic Regression

Summary

Key Concepts

Chapter Exercises

8 Conclusion Testing Research Hypotheses

Bivariate Hypothesis/No Controls

Bivariate Hypothesis/Unanalyzed Controls

Bivariate Hypothesis/Analyzed Controls

Hypothesis Involving Interactions

Hypothesis Involving Nonlinearity

Final Comments

Summary

Key Concepts

Chapter Exercises

Appendix A: Creating the Hsls Data File. Accessing and Downloading the HSLS data

Creating the HSLS Extract

Access helpful study tools and resources—all in one place!

Appendix B: Codebook for Hsls Variables

Appendix C: Creating Hsls Variables

Chapter 2. Basic Statistical Procedures

Chapter 3. Regression Modeling Basics

Chapter 4. Key Regression Modeling Concepts

Chapter 5. Control Modeling

Chapter 6. Modeling Interactions

Chapter 7. Modeling Linearity With Splines

Answers to Chapter Exercises. Chapter 2. Basic Statistical Procedures

Chapter 3. Regression Modeling Basics

Chapter 4. Key Regression Modeling Concepts

Chapter 5. Control Modeling

Chapter 6. Modeling Interactions

Chapter 7. Modeling Linearity With Splines

Chapter 8. Testing Research Hypotheses

References

Index

Отрывок из книги

To Elaine.

My second purpose was to provide a source on how to do regression modeling in social science research. I define regression modeling in my book as the use of one or more regression equations to examine a particular coefficient in greater depth. To do that, we need to address research hypotheses. The many books on regression analysis cover well the standard continuous, cloud-of-points approach to explaining regression analysis, technical issues in regard to estimating appropriate regression models given the data at hand, and advanced methods for doing regression analysis. However, what has not been addressed thoroughly is how to use a series of multiple regression equations to examine the contributions of control variables, different approaches to estimating interaction effects, and methods for examining linearity in regression effects.

.....

The odds ratio in horse racing describes a horse’s chances of losing. An odds of 4:1 indicates that a horse is expected to lose four times for each win.

However, the dependent variable in logistic regression is not the odds, which would be difficult enough to interpret, but the dependent variable is the log odds, where the log is taken to the base e and is thus the natural logarithm (ln):

.....

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