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Introduction to Statistical Modelling

  • Annette J. Dobson

Table of contents

  1. Front Matter
    Pages i-viii
  2. Annette J. Dobson
    Pages 1-7
  3. Annette J. Dobson
    Pages 8-20
  4. Annette J. Dobson
    Pages 27-34
  5. Annette J. Dobson
    Pages 35-43
  6. Annette J. Dobson
    Pages 44-56
  7. Annette J. Dobson
    Pages 57-73
  8. Annette J. Dobson
    Pages 74-90
  9. Annette J. Dobson
    Pages 91-105
  10. Back Matter
    Pages 106-125

About this book

Introduction

This book is about generalized linear models as described by NeIder and Wedderburn (1972). This approach provides a unified theoretical and computational framework for the most commonly used statistical methods: regression, analysis of variance and covariance, logistic regression, log-linear models for contingency tables and several more specialized techniques. More advanced expositions of the subject are given by McCullagh and NeIder (1983) and Andersen (1980). The emphasis is on the use of statistical models to investigate substantive questions rather than to produce mathematical descriptions of the data. Therefore parameter estimation and hypothesis testing are stressed. I have assumed that the reader is familiar with the most commonly used statistical concepts and methods and has some basic knowledge of calculus and matrix algebra. Short numerical examples are used to illustrate the main points. In writing this book I have been helped greatly by the comments and criticism of my students and colleagues, especially Anne Young. However, the choice of material, and the obscurities and errors are my responsibility and I apologize to the reader for any irritation caused by them. For typing the manuscript under difficult conditions I am grateful to Anne McKim, Jan Garnsey, Cath Claydon and Julie Latimer.

Keywords

Calc Generalized linear model Logistic Regression Mathematica Matrix Statistica analysis of variance calculus computation distribution framework modeling modelling testing variable

Authors and affiliations

  • Annette J. Dobson
    • 1
  1. 1.University of NewcastleNew South WalesAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4899-3174-0
  • Copyright Information Springer Science+Business Media New York 1983
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-412-24860-3
  • Online ISBN 978-1-4899-3174-0
  • Buy this book on publisher's site
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