scispace - formally typeset
Search or ask a question
Book

Response surfaces : designs and analyses

TL;DR: In this paper, the authors present a methodology for estimating response surfaces that rival least squares based on the integrated mean squared error criterion analysis of multiresponse experiments with block effects mixture designs and analyses nonlinear response surface models.
Abstract: Introduction to response surface methodology matrix algebra, least squares, the analysis of variance, and principles of experimental design first-order models and designs second-order models and designs determining optimum conditions methods of estimating response surfaces that rival least squares based on the integrated mean squared error criterion analysis of multiresponse experiments response surface models with block effects mixture designs and analyses nonlinear response surface models Taguchi's robust parameter design additional topics and some directions for future research. Appendix: solutions to selected exercises.
Citations
More filters
Journal ArticleDOI
TL;DR: In this paper, 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.
Abstract: 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.

3,218 citations

Journal ArticleDOI
TL;DR: The following techniques for uncertainty and sensitivity analysis are briefly summarized: Monte Carlo analysis, differential analysis, response surface methodology, Fourier amplitude sensitivity test, Sobol' variance decomposition, and fast probability integration.

1,780 citations

Journal ArticleDOI
Abstract: For decades, difference scores have been widely used in studies of congruence in organizational research. Although methodological problems with difference scores are well known, few viable alternat...

1,082 citations


Cites methods from "Response surfaces : designs and ana..."

  • ...Locating the Stationary Point and Principal Axes Formulas expressing the stationary point and principal axes in terms of regression coefficients were derived from equations reported by Khuri and Cornell (1987). For a quadratic regression equation, the X,Y coordinates of the stationary point (Xo, Yo) are:...

    [...]

MonographDOI
31 Jan 2003
TL;DR: This paper describes the design and analysis of experiments and the results obtained showed clear patterns in the designs and the analysis of the experiments showed clear conclusions about the aims and objectives of the study.
Abstract: Statistical design and analysis of experiments , Statistical design and analysis of experiments , کتابخانه دیجیتال جندی شاپور اهواز

813 citations

Journal ArticleDOI
TL;DR: In this paper, the influence of spray drying conditions on physicochemical properties of acai powder was studied, including moisture content, hygroscopicity, process yield, and anthocyanin retention.

724 citations

References
More filters
Book
01 Jan 1987
TL;DR: In this article, the authors present a Second-Order Response Surface Methodology (SRSM) for response surface design, which is based on Maxima and Ridge systems with second-order response surfaces.
Abstract: Introduction to Response Surface Methodology. The Use of Graduating Functions. Least Squares for Response Surface Work. Factorial Designs at Two Levels. Blocking and Fractionating 2 k Factorial Designs. The Use of Steepest Ascent to Achieve System Improvement. Fitting Second--Order Models. Adequacy of Estimation and the Use of Transformation. Exploration of Maxima and Ridge Systems with Second--Order Response Surfaces. Occurrence and Elucidation of Ridge Systems, I. Occurrence and Elucidation of Ridge Systems, II. Links Between Emprirical and Theoretical Models. Design Aspects of Variance, Bias, and Lack of Fit. Variance----Optimal Designs. Practical Choice of a Response Surface Design. Subject Index. Index.

4,912 citations

Journal ArticleDOI
TL;DR: This work discusses the use of Graduating Functions, design Aspects of Variance, Bias, and Lack of Fit, and Practical Choice of a Response Surface Design in relation to Second--Order Response Surfaces.

4,363 citations

Journal ArticleDOI
TL;DR: In this article, the Response Surface Methodology (RSM) is used for scheduling and scheduling in response surface methodologies, and it is shown that it can be used in a variety of scenarios.
Abstract: (1996). Response Surface Methodology. IIE Transactions: Vol. 28, Scheduling and Logistics, pp. 1031-1032.

4,299 citations

Book
01 Jan 1978
TL;DR: This paper used external reference distribution to compare two means and compared more than two treatment means, and compared the effects of different means and treatments in the United States of America, using the Declaration of Independence as an example.
Abstract: Science and Statistics. COMPARING TWO TREATMENTS. Use of External Reference Distribution to Compare Two Means. Random Sampling and the Declaration of Independence. Randomization and Blocking with Paired Comparisons. Significance Tests and Confidence Intervals for Means, Variances, Proportions and Frequences. COMPARING MORE THAN TWO TREATMENTS. Experiments to Compare k Treatment Means. Randomized Block and Two--Way Factorial Designs. Designs with More Than One Blocking Variable. MEASURING THE EFFECTS OF VARIABLES. Empirical Modeling. Factorial Designs at Two Levels. More Applications of Factorial Designs. Fractional Factorial Designs at Two Levels. More Applications of Fractional Factorial Designs. BUILDING MODELS AND USING THEM. Simple Modeling with Least Squares (Regression Analysis). Response Surface Methods. Mechanistic Model Building. Study of Variation. Modeling Dependence: Times Series. Appendix Tables. Index.

4,153 citations