Design of Experiments - US Army Conference on Applied Statistics

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References Hall, M. Jr. (1961). Hadamard matrix <strong>of</strong> order 16. Jet Propulsion Laboratory Research Summary, 1, 21–26. Johnson, M.E. and Jones, B., (2010) “Classical <strong>Design</strong> Structure <strong>of</strong> Orthogonal <strong>Design</strong>s with Six to Eight Factors and Sixteen Runs” accepted by Quality and Reliability Engineering International. Jones, B. and Montgomery, D., (2010) “Alternatives to Resolution IV Screening <strong>Design</strong>s in 16 Runs.” International Journal <strong>of</strong> Experimental <strong>Design</strong> and Process Optimization, 2010; Vol. 1 No. 4: 285-295. Jones, B. and Nachtsheim, C. J. (2011) “A Class <strong>of</strong> Three-Level <strong>Design</strong>s for Definitive Screening in the Presence <strong>of</strong> Second-Order Effects” accepted by Journal <strong>of</strong> Quality Technology. Jones, B. and Nachtsheim, C. J. (2011) “Efficient <strong>Design</strong>s with Minimal Aliasing” accepted by Technometrics Plackett, R. L., and Burman, J. P. (1946), “The <strong>Design</strong> <strong>of</strong> Optimum Multifactor <strong>Experiments</strong>,” Biometrika, 33, 305–325. Montgomery, D.C. (2009) “<strong>Design</strong> and Analysis <strong>of</strong> <strong>Experiments</strong>” 7 th Edition, Wiley Hoboken, New Jersey. Sun, D. X., Li, W., and Ye, K. Q. (2002), “An Algorithm for Sequentially Constructing Non-Isomorphic Orthogonal <strong>Design</strong>s and Its Applications,” Technical Report SUNYSB-AMS-02-13, State University <strong>of</strong> New York at Stony Brook, Dept. <strong>of</strong> Applied Mathematics and Statistics. 104
Module 3 - Conclusions • The traditional approach to screening is to use regular fractional factorial designs. • Recent research in design has found alternative designs that are strong competitors to these designs. • In any case where two-factor interactions are likely and you cannot afford to run a resolution V design, these new designs are preferred.
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Design of<
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What Is a Designed
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What Is a Response? A response is a
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What is a model? a simplified mathe
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Important Points from the Fathers <
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ANOVA Model for Mileage Study Note
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Orthogonal Coding and Orthogonal <s
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ANOVA/Regression Model - Matrix Not
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Categorical Factor Coding - 2 level
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Continuous Factor Coding MR - midra
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The Model/Design R
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The Model/Design R
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Design Optimality
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Simple experiment for three factors
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Standard designs using an optimal d
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INPUTS (Factors) Airspeed Turn Rate
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Fractional Factorial designs are D-
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Consider the 2 5-1 - Again Created
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JMP Demo Relative Variance
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INPUTS (Factors) 40 SPEAR AGM Tests
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Suppose that we want to focus on ma
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Alias Matrix Effect Intercept A B C
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Module 2 - Summary 1. Main message
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Regular Designs ma
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Define Nonisomorphic Two designs ar
Page 53 and 54: Screening for Shrinkage Contrasts T
Page 55 and 56: Where Did the Data in this Experime
Page 57 and 58: Stepwise Fit Response: Shrinkage St
Page 59 and 60: No-Confounding Design</stro
Page 61 and 62: Hall II 15 Factor Design</s
Page 63 and 64: Hall IV 15 Factor Design</s
Page 65 and 66: Constructing the Recommended 6 Fact
Page 67 and 68: Color Plot for the Standard Minimum
Page 69 and 70: Recommended Nonregular 7 Factor <st
Page 71 and 72: Color Plot for the Standard Minimum
Page 73 and 74: Recommended Nonregular 8 Factor <st
Page 75 and 76: Alternatives to Resolution III <str
Page 77 and 78: Recommended 10 Factor Desig
Page 83 and 84: Note that both main effects and two
Page 85 and 86: Main effects are not aliased. One t
Page 87 and 88: Plackett-Burman Design</str
Page 89: A 12-Factor Example 1 1 1 1 1 1 1 1
Page 92 and 93: The data for the example came from
Page 94 and 95: Embarrassing Problem Case Suppose w
Page 96 and 97: Reactor Case Study Box, Hunter and
Page 98 and 99: Robust Screening Design</st
Page 100 and 101: Robust Screening Design</st
Page 102 and 103: The Case for Non-orthogonal <strong
Page 106 and 107: Module 4 - Blocking • Many experi
Page 108 and 109: Blocking • Blocking is a techniqu
Page 110 and 111: The randomized complete block desig
Page 112 and 113: Cars The Latin Square Desig
Page 114 and 115: JMP Demo
Page 116 and 117: Another Example of
Page 118 and 119: In general, if there are p treatmen
Page 120 and 121: Back to tire testing • Suppose th
Page 122 and 123: Module 4 - Summary • Most design
Page 124 and 125: Split-plot Graphic Definition
Page 126 and 127: Model for Split-plot Experi
Page 128 and 129: General procedure Split-plot <stron
Page 130 and 131: Scenario 1. Four factors Split-Plot
Page 132 and 133: Ad hoc Design #1
Page 134 and 135: I-optimal Split-Plot Design
Page 136 and 137: OLS vs GLS Data Analysis OLS Analys
Page 138 and 139: Module 6 - Introduction to RSM •
Page 140 and 141: E(y) = f( ) The response surface Th
Page 142 and 143: Response Surface Methodology • Wh
Page 144 and 145: CI on the mean response at a point
Page 147 and 148: Three Typical Applications
Page 149 and 150: Useful References on RSM • Box, G
Page 151 and 152: Categorical and Continuous Variable
Page 153 and 154: Goals Module 7 - RSM with Factor Co
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A problem with a constrained design
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JMP Default RSM Design</str
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Design Comparison
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Module 7 - Summary • Constraints
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Robust Parameter Design</st
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The Response Surface Approach Secti
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Filtration Robust Processing Exampl
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JMP Demo
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• Goals Module 9 Mixture
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Mixtures occur in lots of</
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Simplex Designs Si
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An experiment involving shampoo for
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Makeup of an Aircr
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Mixtures in JMP Ternary Plot .1 X1
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• Goals Module 10 - Covering Arra
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Covering Array Definition A coverin
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Covering arrays 1 1 1 1 1 2 2 2 2 2
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Covering arrays and sof</st
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Example - Air to ground missile sys
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CA(N:2,k,2) Results k 2-3 4 5-10 11
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References • R. Brownlie, J. Prow
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Module 10 - Summary • Covering ar
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199 What is a supersaturated design
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201 A more general definition… Su
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203 Classical “supersaturated”
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205 Case 2 - Fractional Factorial <
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207 Problem D-Optimal designs depen
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209 Example 2 6-2 Fractional Factor
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211 Bayesian D-Optimal designs Find
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213 Question Why should only higher
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Card Trick in JMP
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DOX Course - Final Thoughts 1. Opti
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