q2_sol_2006

q2_sol_2006 - MIT OpenCourseWare http:/ocw.mit.edu 2.830J /...

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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 .
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Massachusetts Institute of Technology Department of Mechanical Engineering 2.830/6.780J Control of Manufacturing Processes Quiz 2 Solution Problem 1 (45%) a) I A B C AB AC BC ABC 1 -1 -1 1 1 -1 -1 1 1 -1 1 -1 -1 1 -1 1 1 1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 1 1 b) A=BC, B=AC, C=AB, I=ABC c) Assign AC to the column currently representing C. This will have the effect of confounding B with C. d) Run # A B C 1 -1 -1 -1 2 -1 1 1 3 1 -1 -1 4 1 1 1 e) One additional row is needed. This row must distinguish C from B, so their levels must be different, for instance: A B C AC 1 1 -1 1 f) The above design is not balanced. The levels of the three inputs could be adjusted so the coded columns will add to zero and the design will be balanced, for example: Run # A B C 1 -1.5 -1.5 -1 2 -1.5 1 1.5 3 1 -1.5 -1 4 1 1 1.5 5 1 1 -1
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q2_sol_2006 - MIT OpenCourseWare http:/ocw.mit.edu 2.830J /...

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