Presentation: A New DOE Paradigm - JMP

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Screening Design – Wish List 1. Orthogonal main effects. 2. Main effects uncorrelated with two-factor interactions and quadratic effects. 3. Estimable quadratic effects – three-level design. 4. Small number of runs – order of the number of factors. 5. Good projective properties.
Design Structure 1. Scaled values of each element of the design are either +1, -1 or 0. 2. Each even numbered row is a mirror image of the previous row. 3. For the kth column, rows 2k and 2k−1 contain zeros. 4. The last row contains all zero elements. Run A B C D E F 1 0 1 -1 -1 -1 -1 2 0 -1 1 1 1 1 3 1 0 -1 1 1 -1 4 -1 0 1 -1 -1 1 5 -1 -1 0 1 -1 -1 6 1 1 0 -1 1 1 7 -1 1 1 0 1 -1 8 1 -1 -1 0 -1 1 9 1 -1 1 -1 0 -1 10 -1 1 -1 1 0 1 11 1 1 1 1 -1 0 12 -1 -1 -1 -1 1 0 13 0 0 0 0 0 0
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A New DOE Paradigm • April 12, 20
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Design Optimality • One of the tr
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Which Criterion should I Use? • F
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How would we design an experiment f
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Design Comparison 2 reps D-optimal
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Let’s back up What we just showed
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The Regular One-Half Fraction of th
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Aliasing in the One-Half Fraction o
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• Resolution III Designs: - me =
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Projection of Fractional Factorials
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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 70 and 71: Motivation: Problems with Standard
Page 72 and 73: Alias Matrix of Plackett-Burman des
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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