
- 226 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
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.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Half Title
- Series Page
- Title Page
- Copyright Page
- Dedication
- Contents
- Preface
- 1. Generalized Linear Models
- 2. Background Material
- 3. The Theory Underlying Design
- 4. The Binomial Distribution
- 5. The Poisson Distribution
- 6. Several Other Distributions
- 7. Bayesian Experimental Design
- Bibliography
- Index