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FARAWAY, Julian J-Linear Models with R, Second Edition
2015 by Taylor & Francis Group, LLC
This is a book about linear models in Statistics. A linear model describes a quantitative
response in terms of a linear combination of predictors. You can use a linear
model to make predictions or explain the relationship between the response and the
predictors. Linear models are very flexible and widely used in applications in physical
science, engineering, social science and business. Linear models are part of the
core of Statistics and understanding them well is crucial to a broader competence in
the practice of statistics.
This is not an introductory textbook. You will need some basic prior knowledge
of statistics as might be obtained in one or two courses at the university level. You
will need to be familiar with essential ideas such as hypothesis testing, confidence
intervals, likelihood and parameter estimation. You will also need to be competent
in the mathematical methods of calculus and linear algebra. This is not a particularly
theoretical book as I have preferred intuition over rigorous proof. Nevertheless, successful
statistics requires an appreciation of the principles and it is my hope that the
reader will absorb these through the many examples I present.
This book is written in three languages: English, Mathematics and R. My motivation
in writing the first edition of this text was to combine these three seamlessly
to allow coherent exposition of the practice of linear modeling. This was uncommon
ten years ago but now this has become popular in the now large number of statistics
books that integrate R. Clearly it is a method that works but it does require the reader
to become somewhat fluent in R. This is not a book about learning R but like any
foreign language, one becomes proficient by practicing it rather than by memorizing
the dictionary. The reader is advised to look elsewhere for a basic introduction to R
but should not hesitate to dive into this book and pick it up as you go. I shall try to
help. See the appendix to get started.
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