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Understanding Regression Analysis - A Conditional Distribution Approach (Hardcover)
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Understanding Regression Analysis - A Conditional Distribution Approach (Hardcover)
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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 Nature's 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.
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