Understanding Regression Analysis 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 and it also explains (proves) why the assumptions of the classical regression model are wrong. Unlike other regression books this one from the outset takes a realistic approach that all models are just approximations. Hence the emphasis is to model Natureâs processes realistically rather than to assume (incorrectly) that Nature works in particular constrained ways. Key features of the book include: Numerous worked examples using the R software Key points and self-study questions displayed just-in-time within chapters Simple mathematical explanations (baby proofs) of key concepts Clear explanations and applications of statistical significance (p-values) incorporating the American Statistical Association guidelines Use of data-generating process terminology rather than population Random-X framework is assumed throughout (the fixed-X case is presented as a special case of the random-X case) Clear explanations of probabilistic modelling including likelihood-based methods Use of simulations throughout to explain concepts and to perform data analyses This book has a strong orientation towards science in general as well as chapter-review and self-study questions so it can be used as a textbook for research-oriented students in the social biological and medical and physical and engineering sciences. As well its mathematical emphasis makes it ideal for a text in mathematics and statistics courses. With its numerous worked examples it is also ideally suited to be a reference book for all scientists. . Language: English