Exploring Best Practices in the Design of Experiments - JMP

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R. A. Fisher put it all together Fisher, 1920s: • Randomization as mathematical basis for analysis • Local control and blocking • Replication • Factorial designs • Split plot designs • Confounding • ANOVA • F, t distributions • Etc., etc. 4/29/2013
1920’s-1950’s: Orthogonality is the driving principle • Fisher, Yates: need for ease of computation, independence of effects • R. C. Bose, C.R. Rao, and Indian School: Combinatorics, BIBDs, PBIBDs • Finney, 1945: Fractional replication • Plackett and Burman, 1946 4/29/2013
Page 1 and 2: Exploring Best Practices in the Des
Page 3 and 4: Overview • Where have we been?
Page 5 and 6: Where have we been? • 10 th Centu
Page 7 and 8: Where have we been? • James Lind,
Page 9: Where have we been? • Gergonne: 1
Page 13 and 14: 1950s: Baby steps away from orthogo
Page 15 and 16: Shift to problem-driven design (70s
Page 17 and 18: Paradigms for DOE Classical: • Fi
Page 19 and 20: Classical design paradigms pros, co
Page 21 and 22: What DOE Expertise (continued)? •
Page 23 and 24: New Paradigm: Problem-driven design
Page 25 and 26: Problem-driven paradigm pros, cons:
Page 27 and 28: Example 1: Extracting food solids f
Page 29 and 30: Knowledge Requirements: • Main ef
Page 31 and 32: Here’s how it’s done: 4/29/2013
Page 33 and 34: Example 2: Maximize recall of TV co
Page 35 and 36: Contrast: Problem-Driven Design App
Page 37 and 38: Example 3: Supersaturated Designs P
Page 39 and 40: You can’t do that! 1. Design matr
Page 41 and 42: FF designs are supersaturated desig
Page 43 and 44: Problem-Driven Design Approach Know
Page 45 and 46: All experimental Not all main facto
Page 47 and 48: Color-coded correlation matrix has
Page 49 and 50: Example 4: Sheet Aluminum Rolling M
Page 51 and 52: But there is a problem: We have con
Page 53 and 54: DOE to the rescue! • Result: When
Page 55 and 56: Confession of a Text Book Author
Page 57 and 58: Recent Paper---My Conversion 4/29/2
Page 59 and 60: Example 5: Corrosion resistance of
Page 61 and 62:
Actual Corrosion Resistance DOE Who
Page 63 and 64:
Contrast with ordinary DOE In usual
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Analysis depends on the randomizati
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Take-Aways 1. Always consider runni
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What’s driving the software? Opti
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Lots of work in Model Robust and Mu
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Multi-objective designs: six-factor
Page 75 and 76:
Alias Matrix of Plackett-Burman des
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Turns out there is: Six foldover pa
Page 79 and 80:
Definitive Screening Design for 6 f
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Now generalize this structure for m
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Conference Matrices & Telephony Fro
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Here the amazing result: Form the a
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Impact? A break-through solution fo
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Impact? From the conclusions: “De
Page 91 and 92:
Upshot - Definitive Screening Desig
Page 93 and 94:
BUT!…a limitation DSDs can only b
Page 95 and 96:
Example 6: Extracting food solids f
Page 97:
So, what are the current best pract
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