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All University of South Carolina system institutions will be closed through the end of the spring semester. Columbia campus virtual instruction will continue through the end of the Summer II semester (Aug 1). Details can be found on the coronavirus landing page.

Department of Statistics

STAT 750

750—Response Surface Methodology. (3) (Prereq: STAT 701 or 705 or consent of department) Methods for fitting (regression) response surfaces and interpreting them subject to random error. Includes designs and industrial process optimization methods.

Usually Offered: Occasionally in Summers

Purpose: To provide graduate students in Statistics and other disciplines with methodology to fit and interpret first- and second-order regression models, and empirical process optimization methods derived from these. Also, issues related to efficient design of experiments to fit response surfaces.

Current Textbook: Empirical Model-Building and Response Surfaces, by George E.P. Box and Norman R. Draper, John Wiley and Sons, 1987.

 

Topics Covered Chapters Time        
Introduction; Matrix algebra review 1,2, Appendix 3 C 1 week
Regression review 3 1 week
Graphical representations of functions handouts 0.5 weeks
Fitting and interpreting first order surfaces 4,5 2 weeks
Fitting and interpreting second order surfaces 7,9,10,11 3 weeks
Transformations 8 1 week
Steepest ascent and other optimization methods 6 1.5 weeks
Specialized experimental designs for second order surfaces 13,14 1.5 weeks
Experiments with mixtures handouts 1 week
Nonlinear regression models 12, Appendix 3D 1 week

Contact Faculty: Don Edwards


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