THE DESIGN AND ANALYSIS OF EXPERIMENTS. By Oscar Kempthorne. New York, John Wiley and Sons, Inc., 1952. 631 pp. $8.50. This book by a teacher of statistics (as well as a consultant for \"experimenters\") is a comprehensive study of the philosophical background for the statistical design of experiment. It is necessary to have some facility with algebraic notation and manipulation to be able to use the volume intelligently. The problems are presented from the theoretical point of view, without such practical examples as would be helpful for those not acquainted with mathematics. The mathematical justification for the techniques is given. As a somewhat advanced treatment of the design and analysis of experiments, this volume will be interesting and helpful for many who approach statistics theoretically as well as practically. With emphasis on the \"why,\" and with description given broadly, the author relates the subject matter to the general theory of statistics and to the general problem of experimental inference. MARGARET J. ROBERTSON

The Design and Analysis of Experiments

According to W. Edwards Deming, American companies require nothing less than a transformation of management style and of governmental relations with industry. In Out of the Crisis, originally published in 1982, Deming offers a theory of management based on his famous 14 Points for Management. Management's failure to plan for the future, he claims, brings about loss of market, which brings about loss of jobs. Management must be judged not only by the quarterly dividend, but by innovative plans to stay in business, protect investment, ensure future dividends, and provide more jobs through improved product and service. In simple, direct language, he explains the principles of management transformation and how to apply them.

Out of the Crisis

Fenton chemistry encompasses reactions of hydrogen peroxide in the presence of iron to generate highly reactive species such as the hydroxyl radical and possibly others. In this review, the complex mechanisms of Fenton and Fenton-like reactions and the important factors influencing these reactions, from both a fundamental and practical perspective, in applications to water and soil treatment, are discussed. The review covers modified versions including the photoassisted Fenton reaction, use of chelated iron, electro-Fenton reactions, and Fenton reactions using heterogeneous catalysts. Sections are devoted to nonclassical pathways, by-products, kinetics and process modeling, experimental design methodology, soil and aquifer treatment, use of Fenton in combination with other advanced oxidation processes or biodegradation, economic comparison with other advanced oxidation processes, and case studies.

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Advanced Oxidation Processes for Organic Contaminant Destruction Based on the Fenton Reaction and Related Chemistry

The use of statistical techniques to build approximations of expensive computer analysis codes pervades much of today’s engineering design. These statistical approximations, or metamodels, are used to replace the actual expensive computer analyses, facilitating multidisciplinary, multiobjective optimization and concept exploration. In this paper, we review several of these techniques, including design of experiments, response surface methodology, Taguchi methods, neural networks, inductive learning and kriging. We survey their existing application in engineering design, and then address the dangers of applying traditional statistical techniques to approximate deterministic computer analysis codes. We conclude with recommendations for the appropriate use of statistical approximation techniques in given situations, and how common pitfalls can be avoided.

/pdf/metamodels-for-computer-based-engineering-design-survey-and-382x1fki1s.pdf

Metamodels for Computer-Based Engineering Design: Survey and Recommendations

Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems

This department publishes articles of interest to statistical practitioners. Innovative applications of known methodology may be suitable, but sizable case studies should be submitted to other journals. Brief descriptions and illustrations of new developments that are potentially useful in statistical practice are appropriate. Acceptable articles should appeal to a substantial number of practitioners. In the decade of the 1980s much attention was given to the data and analytic and experimental design efforts of Genichi Taguchi. Methodology advocated by Taguchi, often called robust parameter design, gained the interest of practitioners working in industry in quality improvement. Many statisticians in the West have pointed out apparent flaws in the Taguchi approach. As the controversy surrounding Taguchi matures, several investigators have embraced important aspects of parameter design and the result is a collection of alternatives to the Taguchi approach. Some of these alternatives highlight the u...

Response Surface Alternatives to the Taguchi Robust Parameter Design Approach

Response Surfaces: Designs and Analysis.

Response Surfaces: Designs and Analyses: Second Edition

Generalized linear models (GLMs) have been used quite effectively in the modeling of a mean response under nonstandard conditions, where discrete as well as continuous data distributions can be accommodated. The choice of design for a GLM is a very important task in the development and building of an adequate model. However, one major problem that handicaps the construction of a GLM design is its dependence on the unknown parameters of the fitted model. Several approaches have been proposed in the past 25 years to solve this problem. These approaches, however, have provided only partial solutions that apply in only some special cases, and the problem, in general, remains largely unresolved. The purpose of this article is to focus attention on the aforementioned dependence problem. We provide a survey of various existing techniques dealing with the dependence problem. This survey includes discussions concerning locally optimal designs, sequential designs, Bayesian designs and the quantile dispersion graph approach for comparing designs for GLMs.

https://projecteuclid.org/download/pdfview_1/euclid.ss/1166642442

Design Issues for Generalized Linear Models: A Review

Two-Level Factorial and Fractional Factorial Designs in Blocks of Size Two. Part 2 (Y J Yang & N R Draper) Response Surface Experiments on Processes with High Variation (S G Gilmour & L A Trinca) Random Run Order, Randomization and Inadvertent Split-Plots in Response Surface Experiments (J Ganju & J M Lucas) Statistical Inference for Response Surface Optima (D K J Lin & J J Peterson) A Search Method for the Exploration of New Regions in Robust Parameter Design (G Mero-Quesada & E del Castillo) Response Surface Approaches to Robust Parameter Design (T J Robinson & S S Wulff) Response Surface Methods and Their Application in the Treatment of Cancer with Drug Combinations: Some Reflections (K S Dawson et al.) Generalized Linear Models and Response Transformation (A C Atkinson) GLM Designs: The Dependence on Unknown Parameters Dilemma (A I Khuri & S Mukhopadhyay) Design for a Trinomial Response to Dose (S K Fan & K Chaloner) Evaluating the Performance of Non-Standard Designs: The San Cristobal Design (L M Haines) 50 Years of Mixture Experiment Research: 1955-2004 (G F Piepel) Graphical Methods for Comparing Response Surface Designs for Experiments with Mixture Components (H B Goldfarb & D C Montgomery) Graphical Methods for Assessing the Prediction Capability of Response Surface Designs (J J Borkowski) Using Fraction of Design Space Plots for Informative Comparisons between Designs (C M Anderson-Cook & A Ozol-Godfrey) Concepts of Slope-Rotatability for Second Order Response Surface Designs (S H Park) Design of Experiments for Estimating Differences between Responses and Slopes of the Response (S Huda).

André I. Khuri

Papers

Response Surface Alternatives to the Taguchi Robust Parameter Design Approach

Response Surfaces: Designs and Analysis.

Response Surfaces: Designs and Analyses: Second Edition

Design Issues for Generalized Linear Models: A Review

Response surface methodology and related topics