Design and Analysis of Experiments with SAS: 1st Edition (Hardback) book cover

Design and Analysis of Experiments with SAS

1st Edition

By John Lawson

Chapman and Hall/CRC

596 pages | 169 B/W Illus.

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A culmination of the author’s many years of consulting and teaching, Design and Analysis of Experiments with SAS provides practical guidance on the computer analysis of experimental data. It connects the objectives of research to the type of experimental design required, describes the actual process of creating the design and collecting the data, shows how to perform the proper analysis of the data, and illustrates the interpretation of results.

Drawing on a variety of application areas, from pharmaceuticals to machinery, the book presents numerous examples of experiments and exercises that enable students to perform their own experiments. Harnessing the capabilities of SAS 9.2, it includes examples of SAS data step programming and IML, along with procedures from SAS Stat, SAS QC, and SAS OR. The text also shows how to display experimental results graphically using SAS ODS graphics. The author emphasizes how the sample size, the assignment of experimental units to combinations of treatment factor levels (error control), and the selection of treatment factor combinations (treatment design) affect the resulting variance and bias of estimates as well as the validity of conclusions.

This textbook covers both classical ideas in experimental design and the latest research topics. It clearly discusses the objectives of a research project that lead to an appropriate design choice, the practical aspects of creating a design and performing experiments, and the interpretation of the results of computer data analysis. SAS code and ancillaries are available at


This book deserves to be seriously considered as an external reference for a beginning, one semester course in experimental design. It is a handy, reference showing how to get things done quickly using SAS. …

—Francis Giesbrecht, Biometrics, December 2011

The scope of the material coverage is one of the strengths of this book. The author brings a wealth of industrial, consulting, and teaching experience to the book, and adds his great writing style, which keeps the reader paying attention throughout the book. … one of the biggest strengths of the book is the breadth of coverage of topics and examples relevant to different disciplines. … The level of detail with respect to SAS codes in this text is excellent. … I would say that this book fills a gap in guiding the design and analyses of experiments using SAS, and would be well suited as a text for students in applied disciplines who had some linear algebra and statistics background. This book is also an outstanding reference for design and analysis of experiments using SAS. In this book I can find SAS codes for virtually all problems I had to solve in applications, and I will be reaching for this book time and time again in the future.

—Alla Sikorskii, The American Statistician, August 2011

The design and analysis of experiments is a fundamental part of statistics, and this book gives a comprehensive treatment of this broad topic. … this book focuses on linking concepts to practice. … The examples are taken from a range of areas, including pharmaceutical science and industrial manufacturing. … A companion website includes SAS code and data sets.

The book covers the basics that you would expect … . A wide variety of other topics are also covered, including split-plot designs, mixture experiments and robust-parameter design. Of particular interest to medical statisticians may be the chapter on crossover and repeated measurement studies …

The inclusion of so many exercises makes this book ideal for teaching. …

I think this book achieves its objectives. It is a comprehensive text on an important subject and it is sure to make designing and analysing experiments in SAS more straightforward. The inclusion of advanced topics and modern methods is a particular benefit in this regard.

—David Woods, Statistics in Medicine, 2011

The exposition throughout is first rate. The presentation and organization, the coverage of the topics, and the discussions of the examples are all excellent. If you are an SAS user needing help with experimental design, you will certainly profit from this text.

International Statistical Review (2011), 79, 1

… The book’s strongest point is its wealth of practical examples from a wide range of fields, such as agriculture, industrial production, psychology, pharmacology etc. … the examples are very helpful for grasping the ideas behind applied experimentation. … a very useful addition to the library of anyone with an already strong understanding of linear models, some familiarity with SAS, and interest or experience in applied experimentation. … [also] useful for statistically skilled readers who want to use software other than SAS for design and analysis of experiments. Applied experimenters without a strong statistical background or at least interest will benefit from individual examples…

Journal of Statistical Software, December 2010, Volume 37

Table of Contents


Statistics and Data Collection

Beginnings of Statistically Planned Experiments

Definitions and Preliminaries

Purposes of Experimental Design

Types of Experimental Designs

Planning Experiments

Performing the Experiments

Use of SAS Software

Completely Randomized Designs with One Factor


Replication and Randomization

A Historical Example

Linear Model for Completely Randomized Design (CRD)

Verifying Assumptions of the Linear Model

Analysis Strategies When Assumptions Are Violated

Determining the Number of Replicates

Comparison of Treatments after the F-Test

Factorial Designs


Classical One at a Time versus Factorial Plans

Interpreting Interactions

Creating a Two-Factor Factorial Plan in SAS

Analysis of a Two-Factor Factorial in SAS

Factorial Designs with Multiple Factors—Completely Randomized Factorial Design (CRFD)

Two-Level Factorials

Verifying Assumptions of the Model

Randomized Block Designs


Creating a Randomized Complete Block (RCB) Design in SAS

Model for RCB

An Example of a RCB

Determining the Number of Blocks

Factorial Designs in Blocks

Generalized Complete Block Design

Two Block Factors Latin Square Design (LSD)

Designs to Study Variances


Random Sampling Experiments (RSE)

One-Factor Sampling Designs

Estimating Variance Components

Two-Factor Sampling Designs—Factorial RSE

Nested SE

Staggered Nested SE

Designs with Fixed and Random Factors

Graphical Methods to Check Model Assumptions

Fractional Factorial Designs

Introduction to Completely Randomized Fractional Factorial (CRFF)

Half Fractions of 2k Designs

Quarter and Higher Fractions of 2k Designs

Criteria for Choosing Generators for 2k-p Designs

Augmenting Fractional Factorials

Plackett–Burman (PB) Screening Designs

Mixed-Level Fractional Factorials Orthogonal Array (OA)

Incomplete and Confounded Block Designs


Balanced Incomplete Block (BIB) Designs

Analysis of Incomplete Block Designs

Partially Balanced Incomplete Block (PBIB) Designs—Balanced Treatment Incomplete Block (BTIB)

Youden Square Designs (YSD)

Confounded 2k and 2k-p Designs—Completely Confounded Blocked Factorial (CCBF) and Completely Confounded Blocked Fractional Factorial (CCBFF)

Confounding 3 Level and p Level Factorial Designs

Blocking Mixed Level Factorials and OAs

Partial CBF

Split-Plot Designs


Split-Plot Experiments with CRD in Whole Plots (CRSP)

RCB in Whole Plots (RBSP)

Analysis Unreplicated 2k Split-Plot Designs

2k-p Fractional Factorials in Split Plots (FFSP)

Sample Size and Power Issues for Split-Plot Designs

Crossover and Repeated Measures Designs


Crossover Designs (COD)

Simple AB, BA Crossover Designs for Two Treatments

Crossover Designs for Multiple Treatments

Repeated Measures Designs

Univariate Analysis of Repeated Measures Design

Response Surface Designs


Fundamentals of Response Surface Methodology

Standard Designs for Second-Order Models—Completely Randomized Response Surface (CRRS) Designs

Creating Standard Designs in SAS

Non-Standard Response Surface Designs

Fitting the Response Surface Model with SAS

Determining Optimum Operating Conditions

Response Surface Designs in Blocks (BRS)

Response Surface Designs in Split-Plots (RSSP)

Mixture Experiments


Models and Designs for Mixture Experiments

Creating Mixture Designs in SAS

Analysis of Mixture Experiment

Constrained Mixture Experiments

Blocking Mixture Experiments

Mixture Experiments with Process Variables

Mixture Experiments in Split Plot Arrangements

Robust Parameter Design Experiments


Noise Sources of Functional Variation

Product Array Parameter Design Experiments

Analysis of Product Array Experiments

Single Array Parameter Design Experiments

Joint Modeling of Mean and Dispersion Effects

Experimental Strategies for Increasing Knowledge


Sequential Experimentation

One-Step Screening and Optimization

Evolutionary Operation

Concluding Remarks



A Review and Exercises appear at the end of each chapter.

About the Author

John Lawson is a professor in the Department of Statistics at Brigham Young University.

About the Series

Chapman & Hall/CRC Texts in Statistical Science

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Probability & Statistics / General