Name: Design of Experiments for Generalized Linear Models By Kenneth G. Russell (National Institute for Applied Statistical Research Australia, University of Wollongong)
SKU: 9781032094052
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Design of Experiments for Generalized Linear Models Summary

Design of Experiments for Generalized Linear Models by Kenneth G. Russell (National Institute for Applied Statistical Research Australia, University of Wollongong)

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.

Design of Experiments for Generalized Linear Models Reviews

Dr Russell has produced an accessible and informative text that provides useful methodology for applied researchers and practitioners, and a good introduction for postgraduate students wishing to start researching in the area. Design of experiments is fundamental to the scientific method but, when non-normal data is anticipated, too often either little thought is given to the design, or inappropriate designs tailored to linear models are applied. This book provides the background and methods, including R code, required to start designing better experiments in such situations. The coverage ranges from relatively simple, single factor experiments to multi-factor studies and Bayesian designs using recent research results, making is a valuable addition to many different bookshelves.
-Professor David Woods, University of Southampton

...this is the first book written specifically on the design of experiments for generalized linear models (GLMs). Code (in R) for handling all the calculations described is available online...This text is helpful as a careful overview of both linear models and GLMs, with some articulation of design implications.
-John H. Maindonald, ISR 2019

This book fills an important gap in the existing literature on the Design of Experiments. Existing books cover extensively the general linear model, describing topics of Generalized Linear Models (GLMs) for the Design of Experiments (DoE) in only a chapter or so. This book consists of seven chapters. A dedicated website, mainly containing R code for the implementation of the described methods, is maintained by the author (https://doeforglm.com). Known errata can also be found there... particularly useful aspect of the book is the exposition of small sample size effects in the modelling process and ways to cope with this in practice. Small sample sizes are encountered very often in practice in the Design of Experiments, both in the industrial and the agricultural sectors. Similarly, in Chapter 5, the Poisson distribution case is presented, including how to model such data, and how to find relevant D-optimal designs. Useful numerical examples are also given... The book should be particularly useful for researchers working in industry, interested in designing their own experiments when the outcome variable can be modelled by the GLM family of distributions. It could also be very useful for both theoretical and applied researchers in academia, interested in developing skills (each for their own reasons) in this particular area that finds useful applications in different fields of applied research such as -omics and Big Data problems.
- Christos T. Nakas, University of Thessaly, Appeared in ISCB News, January 2020

About Kenneth G. Russell (National Institute for Applied Statistical Research Australia, University of Wollongong)

K. G. Russell is at the National Institute for Applied Statistical Research Australia, University of Wollongong.

Additional information

Sku

NLS9781032094052

ISBN 13

9781032094052

ISBN 10

1032094052

Title

Design of Experiments for Generalized Linear Models by Kenneth G. Russell (National Institute for Applied Statistical Research Australia, University of Wollongong)

Author

Kenneth G. Russell (National Institute for Applied Statistical Research Australia, University of Wollongong)

Series

Chapman & Hall/CRC Interdisciplinary Statistics

Condition

New

Binding type

Paperback

Publisher

Taylor & Francis Ltd

Year published

2021-06-30

Number of pages

240

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Design of Experiments for Generalized Linear Models Kenneth G. Russell (National Institute for Applied Statistical Research Australia, University of Wollongong)

Design of Experiments for Generalized Linear Models by Kenneth G. Russell (National Institute for Applied Statistical Research Australia, University of Wollongong)

Summary

Design of Experiments for Generalized Linear Models Summary

Design of Experiments for Generalized Linear Models by Kenneth G. Russell (National Institute for Applied Statistical Research Australia, University of Wollongong)

Design of Experiments for Generalized Linear Models Reviews

About Kenneth G. Russell (National Institute for Applied Statistical Research Australia, University of Wollongong)

Table of Contents

Additional information

Customer Reviews - Design of Experiments for Generalized Linear Models