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Unformatted text preview: MIT OpenCourseWare ____________ http://ocw.mit.edu 2.830J / 6.780J / ESD.63J Control of Manufacturing Processes (SMA 6303) Spring 2008 For information about citing these materials or our Terms of Use, visit: ________________ http://ocw.mit.edu/terms . Experimentation and Robust Design of Engineering Systems Dan Frey Associate Professor of Mechanical Engineering and Engineering Systems Images removed due to copyright restrictions. Please see Fig. 2 in Frey, D. D., and N. Sudarsanam. " An Adaptive One-factor-at-a-time Method for Robust Parameter Design: Comparison with Crossed Arrays via Case Studies. " ASME Journal of Mechanical Design 130 (February 2008): 02140 1. and Fig. 2 in Frey, Daniel D., and Wang, Hungjen. " Adaptive One-Factor-at-a- Time Experimentation and Expected Value of Improvement. " Technometrics 48 (August 2006): 418-431 . Research Overview Complex Systems Methodology Validation Concept Design Outreach to K-12 Adaptive Experimentation and Robust Design ( ) + + + + + > > > 1 2 2 2 2 2 1 ) 2 ( 2 2 1 2 1 12 12 2 2 2 2 2 2 2 2 1 2 1 2 1 ) 2 ( 2 1 2 1 Pr dx dx n e x erf n x x x INT ME INT n x x n INT ij INT ME INT Outline Introduction History Motivation Recent research Adaptive experimentation Robust design An experiment is simply a question put to nature The chief requirement is simplicity: only one question should be asked at a time. Text removed due to copyright restrictions. Please see Table III in Fisher, R. A. Studies in Crop Variation. I. An Examination of the Yield of Dressed Grain from Broadbalk. Journal of Agricultural Science 11 (1921): 107-135. Russell, E. J. , 1926, Field experiments: How they are made and what they are, Journal of the Ministry of Agriculture 32 :989-1001. To call in the statistician after the experiment is done may be no more than asking him to perform a post- mortem examination: he may be able to say what the experiment died of.- Fisher, R. A., Indian Statistical Congress, Sankhya, 1938. Image removed due to copyright restrictions. Please see Fig. 1 in Fisher, R. A. The Arrangement of Field Experiments. Journal of the Ministry of Agriculture of Great Britain 33 (1926): 503-513. Estimation of Factor Effects [ ] ) 1 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( 4 1 + + + bc c b a ac ab abc A A B C +- + +-- (1) ( a ) ( b ) ( c ) ( ab ) ( abc ) ( bc ) ( ac ) Say the independent experimental error of observations ( a ), ( ab ), et cetera is ....
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lecture18 - MIT OpenCourseWare ____________...

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