Presentation: A New DOE Paradigm - JMP

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The Regular 2 k-p Fractional Factorial Design • 2 k-1 = one-half fraction, 2 k-2 = one-quarter fraction, 2 k-3 = oneeighth fraction, …, 2 k-p = 1/ 2 p fraction • Add p columns to the basic design; select p independent generators • Important to select generators so as to maximize resolution, see Table 8.14 • Projection – a design of resolution R contains full factorials in any R – 1 of the factors 31
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 16 and 17: Aliasing in the One-Half Fraction o
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 34 and 35: Regular Designs may not Always be t
Page 36 and 37: Define Nonisomorphic Two designs ar
Page 39 and 40: Main effects of A, B, C and E are i
Page 41 and 42: Where Did the Data in this Experime
Page 43 and 44: Stepwise Fit Response: Shrinkage St
Page 45 and 46: No-Confounding Designs • The 16-r
Page 47 and 48: Hall II 15 Factor Design Run A B C
Page 49 and 50: Hall IV 15 Factor Design Run A B C
Page 51 and 52: Constructing the Recommended 6 Fact
Page 53 and 54: Constructing Recommended Design Usi
Page 57 and 58: Comparison of Color Plots for the S
Page 61 and 62: Comparison of Color Plots for the S
Page 63 and 64: Recommended 9 Factor Design Run A B
Page 65 and 66: Recommended 11 Factor Design Run A
Page 67 and 68: Recommended 13 Factor Design Run A
Page 69 and 70: Introducing Definitive Screening Jo
Page 71 and 72: Screening Conundrum - Two Models Th
Page 73 and 74: If only there were another six fact
Page 75 and 76: Design Structure 1. Scaled values o
Page 77 and 78: Problem: Finding orthogonal main ef
Page 79 and 80: From Wikipedia article on Conferenc
Page 81 and 82:
Statistical Properties 1. Orthogona
Page 83 and 84:
Alias Matrices The D-optimal design
Page 85 and 86:
Example 2 12 factors - 25 runs.
Page 87 and 88:
Example from JQT paper 87
Page 89 and 90:
Stepwise Results 89
Page 91:
References 1. Box, G. E. P., and Hu
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Presentation: A New DOE Paradigm - JMP

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