Presentation: A New DOE Paradigm - JMP

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Aliasing in the One-Half Fraction of the 2 3 A = BC, B = AC, C = AB (or me = 2fi) Aliases can be found from the defining relation I = ABC by multiplication: AI = A(ABC) = A 2 BC = BC BI =B(ABC) = AC CI = C(ABC) = AB Textbook notation for aliased effects: [ A] A BC, [ B] B AC, [ C] C AB 16
The Alternate Fraction of the 2 3-1 • I = -ABC is the defining relation • Implies slightly different aliases: A = -BC, B= -AC, and C = -AB • Both designs belong to the same family, defined by I ABC • Suppose that after running the principal fraction, the alternate fraction was also run • The two groups of runs can be combined to form a full factorial – an example of sequential experimentation 17
Page 1 and 2: A New DOE Paradigm • April 12, 20
Page 3: Design Optimality • One of the tr
Page 6 and 7: Which Criterion should I Use? • F
Page 8 and 9: How would we design an experiment f
Page 10 and 11: Design Comparison 2 reps D-optimal
Page 12 and 13: Let’s back up What we just showed
Page 14 and 15: The Regular One-Half Fraction of th
Page 18 and 19: • Resolution III Designs: - me =
Page 20 and 21: Projection of Fractional Factorials
Page 22 and 23: Example 8.1 Interpretation of resul
Page 24: Suppose we believe in the model: y
Page 27 and 28: The Alias Matrix: Columns represent
Page 29: The Regular One-Quarter Fraction of
Page 33 and 34: The Regular 2 k-p Design: Resolutio
Page 35 and 36: Number of Orthogonal Designs versus
Page 37: Could one of these other orthogonal
Page 40 and 41: The No-Confounding Design 40
Page 42 and 43: Color Plot for the No-Confounding D
Page 44 and 45: Stepwise regression selects the mai
Page 46 and 47: Hall I 15 Factor Design Run A B C D
Page 48 and 49: Hall III 15 Factor Design Run A B C
Page 50 and 51: Hall V 15 Factor Design Run A B C D
Page 52 and 53: Recommended Nonregular 6 Factor Des
Page 54 and 55: Color Plot for the Standard Minimum
Page 58 and 59: Color Plot for the Standard Minimum
Page 62 and 63: Alternatives to Resolution III Desi
Page 64 and 65: Recommended 10 Factor Design Run A
Page 66 and 67:
Recommended 12 Factor Design Run A
Page 68 and 69:
Recommended 14 Factor Design Run A
Page 70 and 71:
Motivation: Problems with Standard
Page 72 and 73:
Alias Matrix of Plackett-Burman des
Page 74 and 75:
Screening Design - Wish List 1. Ort
Page 76 and 77:
How did we find this design? - we u
Page 78 and 79:
Orthogonal Main Effects Design Cons
Page 80 and 81:
Conference Matrix of Order 6
Page 82 and 83:
Example 1 6 factors and 13 runs. Ru
Page 84 and 85:
Column Correlations 0.25 0.5 0.4655
Page 86 and 87:
Column Correlations Note the zero c
Page 88 and 89:
Where did the data come from? We si
Page 90 and 91:
Recapitulation - Definitive Screeni
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Presentation: A New DOE Paradigm - JMP

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