Statistical Design and Analysis of Experiments
embraces a holistic approach by building a solid foundation of the theoretical aspects followed by easily relatable numerical examples. Examples are first worked out manually and explained step-by-step, after which the statistical software Minitab is demonstrated throughout the textbook. This novel approach makes the textbook applicable to any undergraduate or graduate course in design of experiments (DOE) as well as a valuable resource in the hands of any experimenter.
After a clear introduction, concepts of design and analysis of experiments are introduced. Utilizing practical examples, hypothesis testing and the concepts of Type-I errors, Type-II errors, and Power are clearly explained. ANOVA assumptions as well as tests of significance and the concept of point and interval estimates are discussed. Other topics include various types of experimental designs like trial and error or factorial designs, Yates algorithm, replication and reflection of designs, the concept of confounding, and design resolution. Manual calculations as well as software are used to fully analyze experimental data and to draw clear and meaningful conclusions. Response surface methodology and central composite design follow to optimize designs. The book concludes with the Taguchi method and its pitfalls, and the use of nonparametric or distribution-free statistics for when the ANOVA assumptions are not met.
Highly approachable and filled with practical examples,
will teach students to conduct and analyze practical experiments, and draw meaningful conclusions based on a sound theoretical and statistical foundation. The textbook assumes no prior knowledge of statistics and does not rely on the use of calculus. A complete instructors’ guide with PowerPoint slides and solutions to end-of-the-chapter questions is available for teachers who adopt the book.