Presentation: A New DOE Paradigm - JMP

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Motivation: Problems with Standard Screening Designs Resolution III designs confound main effects and two-factor interactions. Plackett-Burman designs have “complex aliasing of the main effects by twofactor interactions. Resolution IV designs confound two-factor interactions with each other, so if one is active, you usually need further runs to resolve the active effects. Center runs give an overall measure of curvature but you do not know which factor(s) are causing the curvature. Even the nonregular orthogonal designs we just discussed have aliasing of +0.5 or -0.5 of some main effects by some two-factor interactions. Plus they have no way of resolving quadratic effects.
Screening Conundrum – Two Models The full model containing both 6 first-order and 15 secondorder terms is: But n = 12, so we can only fit the intercept and the main effects: Standard result: some main effects estimates are biased: where the “alias” matrix is: 71
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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 =
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 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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