Course detail

LCE5854 - Curves and Response Surfaces


Credit hours

In-class work
per week
Practice
per week
Credits
Duration
Total
3
1
8
15 weeks
120 hours

Instructor
Adhemar Sanches
Silvio Sandoval Zocchi

Objective
Provide a collection of statistical and mathematical techniques useful: for developing, improving and optimizing processes; the design, development and formulation of new products and the improvement of existing product designs

Content
1. Introduction to the methodology of surfaces of response. 2. Algebra of matrices, minimum squares, analysis of variance and basic principles of the planning of experiments. 3. First order models and designs. 4. Second order models and designs. 5. Determining optimum conditions. 6. Analysis of experiments with multiple answers. 7. Models of surfaces of response with the purpose of the block. 8. Outlines for mixtures and analysis. 9. Introduction to the theory of the optimal planning of experiments.

Bibliography
ATKINSON, A.C. & A.N. DONEV. Optimum Experimental Designs. Oxford Science Publications. Oxford, 1992.
ATKINSON, A.C. Plots, Transformations and Regression. An Introduction to Graphical Methods of Diagnostic Regression Analysis. Oxford Publications, Oxford, 1985, 282p.
BATES, D.M. & D.G. WATTS. Non Linear Regression Analysis and Its Applications. John Wiley, New York, 1987. BOX, G.E.P. & N.R.
BOX, G.E.P, J.S. HUNTER & W.G. HUNTER. Statistics for Experimenters: Design, Innovation, and Discovery, 2a ed. John Wiley, New York, 2005.
DRAPER. Empirical Model-Building and Response, John Wiley, New York, 1987.
CORNELL, J.A. Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data. 2ª ed. John Wiley, New York, 1990.
JOHN, P.W.M. Statistical Design and Analysis of Experiments. Macmillan, New York, 1971. KHURI, A.I. & J.A. CORNELL. Response Surfaces. Designs and Analyses. 2ª ed. Marcell Dekker Inc., New York, 1996, 510p
MONTGOMERY D.C. & R.H. MYERS. Response Surface Methodology: Process and Product Optimization Using Designed Experiments. 2ª ed. John Wiley, New York, 2002, 798p.
SILVEY, S.D. Optimal Design. Chapman and Hall, London, 1980. WU, C.F.J & M. HAMADA. Experiments. Planning, Analysis, and Parameter Design Optimization. John Wiley & Sons, New York, 2000,630p.
ATKINSON, A.C; A.N. DONEV e R.D. TOBIAS. Optimum Experimental Designs, with SAS. Oxford University Press. Oxford, 2007.
MYRES, RH, D.C. MONTEGOMERY e C.M. ANDERSON-COOK. Response Surface Methodology: Process and Product Optimization Using Designed Experiments. 3ª ed. John Wiley & Sons. New York, 2009, 680p.