Statistical Analysis of Designed Experiments

Theory and Applications

Ajit C. Tamhane

• Publisher: Wiley-Interscience
• Year: 2012
• ISBN:
  9781118491430
• Edition: 1
• Topic: Biological Sciences
• Subtopic: Science General
• Index: Biological Sciences

A indispensable guide to understanding and designing modern experiments

The tools and techniques of Design of Experiments (DOE) allow researchers to successfully collect, analyze, and interpret data across a wide array of disciplines. Statistical Analysis of Designed Experiments provides a modern and balanced treatment of DOE methodology with thorough coverage of the underlying theory and standard designs of experiments, guiding the reader through applications to research in various fields such as engineering, medicine, business, and the social sciences.

The book supplies a foundation for the subject, beginning with basic concepts of DOE and a review of elementary normal theory statistical methods. Subsequent chapters present a uniform, model-based approach to DOE. Each design is presented in a comprehensive format and is accompanied by a motivating example, discussion of the applicability of the design, and a model for its analysis using statistical methods such as graphical plots, analysis of variance (ANOVA), confidence intervals, and hypothesis tests.

Numerous theoretical and applied exercises are provided in each chapter, and answers to selected exercises are included at the end of the book. An appendix features three case studies that illustrate the challenges often encountered in real-world experiments, such as randomization, unbalanced data, and outliers. Minitab® software is used to perform analyses throughout the book, and an accompanying FTP site houses additional exercises and data sets.

With its breadth of real-world examples and accessible treatment of both theory and applications, Statistical Analysis of Designed Experiments is a valuable book for experimental design courses at the upper-undergraduate and graduate levels. It is also an indispensable reference for practicing statisticians, engineers, and scientists who would like to further their knowledge of DOE.

Table of contents

• Cover
• Half Title page
• Title page
• Copyright page
• Dedication
• Preface
• Abbreviations
• Chapter 1: Introduction
• Chapter 2: Review of Elementary Statistics
• Chapter 3: Single Factor Experiments: Completely Randomized Designs
• Chapter 4: Single-Factor Experiments: Multiple Comparison and Selection Procedures
• Chapter 5: Randomized Block Designs and Extensions
• Chapter 6: General Factorial Experiments
• Chapter 7: Two-Level Factorial Experiments
• Chapter 8: Two-Level Fractional Factorial Experiments
• Chapter 9: Three-Level and Mixed-Level Factorial Experiments
• Chapter 10: Experiments for Response Optimization
• Chapter 11: Random and Mixed Crossed-Factors Experiments
• Chapter 12: Nested, Crossed–Nested, and Split-Plot Experiments
• Chapter 13: Repeated Measures Experiments
• Chapter 14: Theory of Linear Models with Fixed Effects
• Appendix A: Vector-Valued Random Variables and Some Distribution Theory
• Appendix B: Case Studies
• Appendix C: Statistical Tables
• Answers to Selected Exercises
• References
• Index