me_350_-_lect_doe_part_2 - ME 350 DOE Lecture Part 2 Design...

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ME 350 – DOE Lecture – Part 2 Design of Experiments - at Grainger in reference section - covering chapters 17 2 k Factorial Design Determination of Statistically Significant Effects
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2 3 Factorial Design Example Study on the alertness of students in the morning: Variables Design Matrix Variables low high 1. Hours of Sleep 4 8 2. Ounces of Coffee 6 12 3. Number of Donuts 1 2 Test x1 x2 x3 Alertness (%) 1 -1 -1 -1 56 2 -1 -1 1 43 3 -1 1 -1 68 4 -1 1 1 59 5 1 -1 -1 72 6 1 -1 1 62 7 1 1 -1 89 8 1 1 1 75
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Effect of Variables? Graphically, the “effect” of variable 1 is the difference between the average results of the planes food sleep 62 (+,-,+) coffee 75 (+,+,+) 59 (-,+,+) 43 (-,-,+) 56 (-,-,-) 72 (+,-,-) 89 (+,+,-) 18 4 4 1 2 3 4 5 6 7 8 1 = + + + - + + + = y y y y y y y y E
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Effect of Variables Food, X 3 Sleep, X 1 6 Coffee X 2 8 4 2 1 5 7 3 5 . 11 4 4 7 5 3 1 8 6 4 2 3 - = + + + - + + + = y y y y y y y y E 4 5 . 14 4 4 6 5 2 1 8 7 4 3 2 = + + + - + + + = y y y y y y y y E
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The sign of the effect indicates its direction – whether the response or The magnitude indicates the of the effect If “compound” effects are negligible then the two effects are said to be: Effect of Variables 5 E1 = 18 E3 = -11.5
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This note was uploaded on 10/03/2011 for the course ME 350 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.

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me_350_-_lect_doe_part_2 - ME 350 DOE Lecture Part 2 Design...

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