Optimum Experimental Designs, with SAS

by Atkinson, Anthony; Donev, Alexander; Tobias, Randall

• ISBN13: 9780199296606
• ISBN10: 019929660X
• Format: Paperback
• Copyright: 2007-07-19
• Publisher: Oxford University Press

Summary

Experiments in the field and in the laboratory cannot avoid random error,and statistical methods are essential for their efficient design and analysis.This book focuses on the use of SAS, a powerful software package that provides acomplete set of statistical tools including analysis of variance, regression,categorical data analysis, and multivariate analysis. Many examples of SAS code,results, plots and tables are provided, along with a fully supported website.The text contains numerous figures, and end of chapter notes on further reading.Exercises consolidating the material covered are given in the final chapter.Authored by leading experts, this book is ideal for statisticians in academia,research and the medical, pharmaceutical and chemical industries.

Table of Contents

Preface

Background

Introduction

Some key ideas

Experimental strategies

The choice of a model

Models and least squares

Criteria for a good experiment

Standard designs

The analysis of experiments

Theory and applications

Optimum design theory

Criteria of optimality

D-optimum designs

Algorithms for the construction of exact D-optimum designs

Optimum experimental design with SAS

Experiments with both qualitative and quantitative factors

Blocking response surface designs

Mixture experiments

Nonlinear models

Bayesian optimum designs

Design augmentation

Model checking and designs for discriminating between models

Compound design criteria

Generalized linear models

Response transformation and structured variances

Time-dependent models with correlated observations

Further topics

Exercises

Bibliography

Author index

Subject index

Table of Contents provided by Publisher. All Rights Reserved.