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l11_cad2 - Plan for the Session Quiz on Constructing...

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Plan for the Session Quiz on Constructing Orthogonal Arrays (10 minutes) • Complete some advanced topics on OAs • Lecture on Computer Aided Robust Design • Recitation on HW#5 Robust System Design 16.881 Session #11 MIT
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How to Estimate Error variance in an L 18 • Consider Phadke pg. 89 How would the two unassigned columns contribute to error variance? • Remember L18(21x37) – Has 1+1*(2-1)+7*(3-1) = 16 DOF – But 18 rows – Therefore 2 DOF can be used to estimate the sum square due to error Robust System Design 16.881 Session #11 MIT
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Breakdown of Sum Squares GTSS SS due to mean Total SS SS due to factor A SS due to factor B SS due to error etc. Robust System Design 16.881 Session #11 MIT
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Column Merging Can turn 2 two level factors into a 4 level factor Can turn 2 three level factors into a six level factor Need to strike out interaction column (account for the right number of DOF!) • Example on an L 8 Robust System Design 16.881 Session #11 MIT
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1 2 3 4 5 6 7 8 Column Merging in an L 8 Eliminate the column which is confounded with interactions • Create a new four-level column Control Factors Exp no. A B C D E F G η 1 1 1 1 1 2 1 2 2 1 2 1 2 1 2 2 1 1 2 2 1 2 2 2 1 1 1 1 2 2 2 1 2 1 1 2 1 2 2 2 1 2 1 2 2 1 2 2 2 2 1 1 1 1 2 1 Robust System Design 16.881 Session #11 MIT
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Computer Aided Robust Design Robust System Design 16.881 Session #11 MIT
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Engineering Simulations Many engineering systems can be modeled accurately by computer simulations – Finite Element Analysis – Digital and analog circuit simulations – Computational Fluid Dynamics Do you use simulations in design & analysis?
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