Analysis of Messy Data, Volume III

Analysis of covariance is a very useful but often misunderstood methodology for analyzing data where important characteristics of the experimental units are measured but not included as factors in the design. The authors of this book take a unique approach to the analysis of covariance. Looking at a set of regression models, one for each of the treatments or treatment combinations, analysts can use their knowledge of regression analysis and analysis of variance to help attack the problem. With a careful balance of theory and examples, this volume provides an invaluable guide to this strategy's techniques, theory, and application.

"We owe [the authors] a huge debt for their 25 years (since they began writing) of persistence. As with the previous volumes, the authors go systematically and solidly through their materialIn the years to come, many consulting statisticians will say to their clients, 'Why don't we see what Milliken and Johnson have to say on that?' as they pull this book from their shelves."Short Book Reviews of the ISI "this book covers, in depth, analysis of covariance and offers a unique approach to this somewhat complex topic, through the analysis of a set of regression models, one for each treatment or combination of treatments A very detailed and complete coverage of analysis of variance is presentedHighly recommended. Upper-division undergraduates through professionals."- CHOICE Magazine, May 2002 "The ANALYSIS OF MESSY DATA VOLUME I is one of my most tattered and torn books from the many years of using it to help analyze data. I was most excited when given the opportunity to review Volume III and to add another valuable book to my collection. Simply put, I was not disappointed. The authors' stated goal is to present the structure and philosophy for using the analysis of covariance. They do this very effectively by providing detailed explanations of the methods and by analyzing numerous datasets using PROC GLM and MIXED of SAS and JMP. anyone confronted with an analysis of covariance should consult this book, which is definitely targeted for researchers who want to apply the methods. Each chapter has detailed examples and includes computer programs that provide the desired computations. The text is well written, exhaustive in scope, and a solid contribution to the literature." - Richard K. Burdick, Arizona State University in Technometrics, August 2002

Autorentext
George A. Milliken, Dallas E. Johnson

Inhalt

Introduction to the Analysis of Covariance. One-Way Analysis of Covariance-One Covariate in a Completely Randomized Design Structure. Examples: One-Way Analysis of Covariance-One Covariate in a Completely Randomized Design Structure. Multiple Covariates in a One-Way Treatment Structure in a Completely Randomized Design Structure Two-Way Treatment Structure and Analysis of Covariance in a Completely Randomized Design Structure. Beta-Hat Models. Variable Selection in the Analysis of Covariance Models. Comparing Models for Several Treatments. Two Treatments in a Randomized Complete Block Design Structure. More that Two Treatments in a Blocked Design Structure. Covariates Measured on the Block in RCB and Incomplete Block Design Structures. Random Effects Models with Covariates. Mixed Models. Analysis of Covariance Models with Heterogeneous Errors. Analysis of Covariance for Split-Plot and Strip-Plot Design Structures. Analysis of Covariance for Repeated Measures Designs. Analysis of Covariance for Nonreplicated Experiments. Special Applications of Analysis of Covariance.