Design of Experiments for Generalized Linear Models
eBook - ePub

Design of Experiments for Generalized Linear Models

  1. 226 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Design of Experiments for Generalized Linear Models

About this book

Generalized Linear Models (GLMs) allow many statistical analyses to be extended to important statistical distributions other than the Normal distribution. While numerous books exist on how to analyse data using a GLM, little information is available on how to collect the data that are to be analysed in this way.

This is the first book focusing specifically on the design of experiments for GLMs. Much of the research literature on this topic is at a high mathematical level, and without any information on computation. This book explains the motivation behind various techniques, reduces the difficulty of the mathematics, or moves it to one side if it cannot be avoided, and gives examples of how to write and run computer programs using R.

Features



  • The generalisation of the linear model to GLMs
  • Background mathematics, and the use of constrained optimisation in R
  • Coverage of the theory behind the optimality of a design


  • Individual chapters on designs for data that have Binomial or Poisson distributions
  • Bayesian experimental design
  • An online resource contains R programs used in the book

This book is aimed at readers who have done elementary differentiation and understand minimal matrix algebra, and have familiarity with R. It equips professional statisticians to read the research literature. Nonstatisticians will be able to design their own experiments by following the examples and using the programs provided.

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Yes, you can access Design of Experiments for Generalized Linear Models by Kenneth G. Russell in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2018
Print ISBN
9781498773133
eBook ISBN
9780429614415

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication
  7. Contents
  8. Preface
  9. 1. Generalized Linear Models
  10. 2. Background Material
  11. 3. The Theory Underlying Design
  12. 4. The Binomial Distribution
  13. 5. The Poisson Distribution
  14. 6. Several Other Distributions
  15. 7. Bayesian Experimental Design
  16. Bibliography
  17. Index