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Showing how robust response surface methodology (RRSM) can overcome the limitations of RSM, this book presents RRS designs, along with the relevant regression and positive data analysis techniques. It explains how to use RRSM in experimental designs and regression analysis and addresses problems of RRS designs, such as rotatability, slope-rotatability, weak rotatability, and optimality. The author illustrates the concepts and methods with real examples of lifetime responses, resistivity, replicated measures, and more.
List of contents
Introduction. Robust First-Order Designs. Robust Second-Order Designs. Lifetime Improvement Robust First-Order Designs. Lifetime Improvement Robust Second-Order Designs. Weakly Robust Rotatable Designs. Robust Second-Order Slope-Rotatability. Robust Second-Order Slope-Rotatability Over All Directions. Robust Second-Order Slope-Rotatable Designs With Maximum Directional Variance and D-Optimal Slope. Weakly Robust Second-Order Slope-Rotatable Designs. Regression Analysis for Correlated Observations. Applications of Correlated Regression Analyses. Positive Data Analyses. Applications of Log-Normal and Gamma Models.
About the author
Rabindra Nath Das
Summary
Although widely used in science and technology for experimental data generating, modeling, and optimization, the response surface methodology (RSM) has many limitations. Showing how robust response surface methodology (RRSM) can overcome these limitations, Robust Response Surfaces, Regression, and Positive Data Analyses presents RRS designs, along with the relevant regression and positive data analysis techniques. It explains how to use RRSM in experimental designs and regression analysis.
The book addresses problems of RRS designs, such as rotatability, slope-rotatability, weak rotatability, and optimality. It describes methods for estimating model parameters as well as positive data analysis techniques. The author illustrates the concepts and methods with real examples of lifetime responses, resistivity, replicated measures, and more.
The range of topics and applications gives the book broad appeal both to theoreticians and practicing professionals. The book helps quality engineers, scientists in any area, medical practitioners, demographers, economists, and statisticians understand the theory and applications of RRSM. It can also be used in a second course on the design of experiments.
Additional text
"… this book stands [as the] first of its kind … The author explains well the utilization of RRS methods in experimental designs and regression analysis. The author ingeniously furthers the explanation on the problem of RRS designs … This book elucidates these methods to both theoreticians and researchers besides practical users, like engineers in quality control, … demographers, hydro-geologists, economists, statisticians, biological and physical scientists, and environmental and agricultural scientists …"—Zentralblatt MATH 1306
