A First Course in the Design of Experiments
A Linear Models Approach
Most texts on experimental design fall into one of two distinct categories. There are theoretical works with few applications and minimal discussion on design, and there are methods books with limited or no discussion of the underlying theory. Furthermore, most of these tend to either treat the analysis of each design separately with little attempt to unify procedures, or they will integrate the analysis for the designs into one general technique.
A First Course in the Design of Experiments: A Linear Models Approach stands apart. It presents theory and methods, emphasizes both the design selection for an experiment and the analysis of data, and integrates the analysis for the various designs with the general theory for linear models.
The authors begin with a general introduction then lead students through the theoretical results, the various design models, and the analytical concepts that will enable them to analyze virtually any design. Rife with examples and exercises, the text also encourages using computers to analyze data. The authors use the SAS software package throughout the book, but also demonstrate how any regression program can be used for analysis.
With its balanced presentation of theory, methods, and applications and its highly readable style, A First Course in the Design of Experiments proves ideal as a text for a beginning graduate or upper-level undergraduate course in the design and analysis of experiments.
Table of Contents
Introduction to the Design of Experiments. Linear Models.Least Squares Estimation and Normal Equations.Linear Model Distribution Theory.Distribution Theory for Statistical Inference.Inference for Multiple Regression Models.The Completely Randomized Design.Planned Comparisons.Multiple Comparisons.Randomized Complete Block Design.Incomplete Block Designs.Latin Square Designs.
Factorial Experiments with Two Factors.Other Factorial Experiments. Analysis of Covariance.Random and Mixed Models.Nested Designs and Associated Topics.Other Designs and Topics.Appendices.References.Index.
John H. Skillings, Donald Weber