Linear regression models : applications in R

Bibliographic Information

Linear regression models : applications in R

John P. Hoffmann

(Statistics in the social and behavioral sciences series)

CRC Press, 2022

  • : hbk

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Note

Includes bibliographical references (p. 399-410) and index

Description and Table of Contents

Description

*Furnishes a thorough introduction and detailed information about the linear regression model, including how to understand and interpret its results, test assumptions, and adapt the model when assumptions are not satisfied. *Uses numerous graphs in R to illustrate the model's results, assumptions, and other features. *Does not assume a background in calculus or linear algebra; rather, an introductory statistics course and familiarity with elementary algebra are sufficient. *Provides many examples using real world datasets relevant to various academic disciplines. *Fully integrates the R software environment in its numerous examples.

Table of Contents

1. Introduction 2. Review of Elementary Statistical Concepts 3. Simple Linear Regression Models 4. Multiple Linear Regression Models 5. The ANOVA Table and Goodness-of-Fit Statistics 6. Comparing Linear Regression Models 7. Indicator Variables in Linear Regression Models 8. Independence 9. Homoscedasticity 10. Collinearity and Multicollinearity 11. Normality, Linearity, and Interaction Effects 12. Model Specification 13. Measurement Errors 14. Influential Observations: Leverage Points and Outliers 15. Multilevel Linear Regression Models 16. A Brief Introduction to Logistic Regression 17. Conclusions Appendix A: Data Management Appendix B: Using Simulations to Examine Assumptions of Linear Regression Models Appendix C: Formulas Appendix C: User-Written R Packages Employed in Examples

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