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EbookBell Team
4.8
64 reviewsPreface
The aim of this book is to provide an overview of statistical methods that are important
in the analysis of epidemiologic data, the emphasis being on nonregression
techniques. The book is intended as a classroom text for students enrolled in an epidemiology
or biostatistics program, and as a reference for established researchers.
The choice and organization of material is based on my experience teaching biostatistics
to epidemiology graduate students at the University of Alberta. In that setting
I emphasize the importance of exploring data using nonregression methods prior
to undertaking a more elaborate regression analysis. It is my conviction that most of
what there is to learn from epidemiologic data can usually be uncovered using nonregression
techniques.
I assume that readers have a background in introductory statistics, at least to the
stage of simple linear regression. Except for the Appendices, the level of mathematics
used in the book is restricted to basic algebra, although admittedly some of the
formulas are rather complicated expressions. The concept of confounding, which is
central to epidemiology, is discussed at length early in the book. To the extent permitted
by the scope of the book, derivations of formulas are provided and relationships
among statistical methods are identified. In particular, the correspondence between
odds ratio methods based on the binomial model, and hazard ratio methods based
on the Poisson model are emphasized (Breslow and Day, 1980, 1987). Historically,
odds ratio methods were developed primarily for the analysis of case-control data.
Students often find the case-control design unintuitive, and this can adversely affect
their understanding of the odds ratio methods. Here, I adopt the somewhat unconventional
approach of introducing odds ratio methods in the setting of closed cohort
studies. Later in the book, it is shown how these same techniques can be adapted
to the case-control design, as well as to the analysis of censored survival data. One
of the attractive features of statistics is that different theoretical approaches often
lead to nearly identical numerical results. I have attempted to demonstrate this phenomenon
empirically by analyzing the same data sets using a variety of statistical
techniques.
I wish to expressmy indebtedness to Allan Donner, Sander Greenland, John Hsieh,
David Streiner, and Stephen Walter, who generously provided comments on a draft
manuscript. I am especially grateful to Sander Greenland for his advice on the topic
of confounding, and to John Hsieh who introduced me to life table theory when I was a student. The reviewers did not have the opportunity to read the final manuscript
and so I alone am responsible for whatever shortcomings there may be in the book.
I also wish to acknowledge the professionalism and commitment demonstrated by
Steve Quigley and Lisa Van Horn of John Wiley & Sons. I am most interested in
receiving your comments, which can be sent by e-mail using a link at the website
www.stephennewman.com.
Prior to entering medicine and then epidemiology, I was deeply interested in a
particularly elegant branch of theoretical mathematics called Galois theory. While
studying the historical roots of the topic, I encountered a monograph having a preface
that begins with the sentence “I wrote this book for myself.” (Hadlock, 1978). After
this remarkable admission, the author goes on to explain that he wanted to construct
his own path through Galois theory, approaching the subject as an enquirer rather
than an expert. Not being formally trained as a mathematical statistician, I embarked
upon the writing of this book with a similar sense of discovery. The learning process
was sometimes arduous, but it was always deeply rewarding. Even though I wrote
this book partly “for myself,” it is my hope that others will find it useful.