Hirotsu T. Advanced Analysis of Variance

John Wiley & Sons, Inc., 2017. — 422 p. — (Wiley Series in Probability and Statistics). — ISBN: 9781119303343.In this important book, internationally acclaimed statistician, Chihiro Hirotsu, goes beyond classical analysis of variance (ANOVA) model to offer a unified theory and advanced techniques for the statistical analysis of experimental data. Dr. Hirotsu introduces the groundbreaking concept of advanced analysis of variance (AANOVA) and explains how the AANOVA approach exceeds the limitations of ANOVA methods to allow for global reasoning utilizing special methods of simultaneous inference leading to individual conclusions.
Focusing on normal, binomial, and categorical data, Dr. Hirotsu explores ANOVA theory and practice and reviews current developments in the field. He then introduces three new advanced approaches, namely: testing for equivalence and non-inferiority; simultaneous testing for directional (monotonic or restricted) alternatives and change-point hypotheses; and analyses emerging from categorical data. Using real-world examples, he shows how these three recognizable families of problems have important applications in most practical activities involving experimental data in an array of research areas, including bioequivalence, clinical trials, industrial experiments, pharmaco-statistics, and quality control, to name just a few.Introduction to Design and Analysis of Experiments
Basic Estimation Theory
Basic Test Theory
Multiple Decision Processes and an Accompanying Confidence Region
Two-Sample Problem
One-Way Layout, Normal Model
One-Way Layout, Binomial Populations
Poisson Process
Block Experiments
Two-Way Layout, Normal Model
Analysis of Two-Way Categorical Data
Mixed and Random Effects Model
Profile Analysis of Repeated Measurements
Analysis of Three-Way Categorical Data
Design and Analysis of Experiments by Orthogonal Arrays
Appendix