Understanding regression analysis : a conditional distribution approach / Peter H. Westfall, Andrea L. Arias.
Material type:
TextPublisher: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2020]Description: 1 online resource (xv, 496 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9781000069631; 100006963X; 9781003025764; 1003025765; 9781000069525; 1000069524; 9781000069419; 1000069419Subject(s): Regression analysis | BUSINESS & ECONOMICS / Statistics | MATHEMATICS / Probability & Statistics / GeneralDDC classification: 519.5/36 LOC classification: QA278.2 | .W475 2020ebOnline resources: Taylor & Francis | OCLC metadata license agreement "A Chapman & Hall Book" -- taken from title page.
"This book unifies diverse regression applications including the classical model, ANOVA models, generalized models including Poisson, Negative binomial, logistic, and survival, neural networks and decision trees under a common umbrella; namely, the conditional distribution model. It explains why the conditional distribution model is the correct model, also explains why the assumptions of the classical regression model are wrong. This one takes a realistic approach from the outset that all models are just approximations. The emphasis is to model Nature's processes realistically, rather than to assume that Nature works in particular, constrained ways"-- Provided by publisher.
1. Introduction to Regression Models 2. Estimating Regression Model Parameters3. The Classical Model and Its Consequences4. Evaluating Assumptions5. Transformations6. The Multiple Regression Model7. Multiple Regression from the Matrix Point of View8. R-squared, Adjusted R-Squared, the F Test, and Multicollinearity9. Polynomial Models and Interaction (Moderator) Analysis10. ANOVA, ANCOVA, and Other Applications of Indicator Variables11. Variable Selection12. Heteroscedasticity and Non-independence13. Models for Binary,Nominal, and OrdinalResponse Variables14. Models for Poisson and Negative Binomial Response15. Censored Data Models16. Outliers, Identification, Problems, and Remedies (Good and Bad)17. Neural Network Regression 18. Regression Trees19. Bookend
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