Design and Analysis of Experiments

The design of experiments holds a central place in statistics. The aim of this book is to present in a readily accessible form certain theoretical results of this vast field. This is intended as a textbook for a one-semester or two-quarter course for undergraduate seniors or first-year graduate students, or as a supplementary resource. Basic knowledge of algebra, calculus and statistical theory is required to master the techniques presented in this book.To help the reader, basic statistical tools that are needed in the book are given in a separate chapter. Mathematical results from Modern Algebra which are needed for the construction of designs are also given. Wherever possible the proofs of the theoretical results are provided.Contents:Introduction and Preliminary ResultsTheory of Linear EstimationAnalysis of VarianceAnalysis of Covariance (ANCOVA)Missing and Mixed PlotsBalanced Incomplete Block DesignsFactorial DesignsElements of Modern AlgebraConstruction of DesignsReadership: Undergraduate and graduate students in statistics.