Presentation: A New DOE Paradigm - JMP

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Let’s back up What we just showed was an experiment for optimization. But, usually designed experimentation starts with screening. We will first review some basics of screening. Then we will show you some really new stuff. 12
Why do Regular Fractional Factorial Designs Work for Factor Screening? • The sparsity of effects principle – There may be lots of factors, but few are important – System is dominated by main effects, low-order interactions • The projection property – Every fractional factorial contains full factorials in fewer factors • Sequential experimentation – Can add runs to a fractional factorial to resolve difficulties (or ambiguities) in interpretation 13
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 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 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:
Page 68 and 69:
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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