Optimal Design of Experiments: A Case Study Approach

Optimal Design of Experiments: A Case Study Approach

Volumn , Issue , 2011, Pages

  Goos, Peter ^a,b   Jones, Bradley ^c  

^a UNIVERSITY OF ANTWERP   (Belgium)

^b ERASMUS UNIVERSITY ROTTERDAM   (Netherlands)

^c JMP Division of SAS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84891578241     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9781119974017     Document Type: Book

References (111)

1. Anderson-Cook, C.M., Borror, C.M., and Montgomery, D.C. (2009Response surface design evaluation and comparison. Journal of Statistical Planning and Inference, 139, 629-674.
2. Arnouts, H., Goos, P., and Jones, B. (2010Design and analysis of industrial strip-plot experiments. Quality and Reliability Engineering International, 26, 127-136.
3. Atkinson, A.C., and Donev, A.N. (1989The construction of exact D-optimum experimental designs with application to blocking response surface designs. Biometrika, 76, 515-526.
4. Atkinson, A.C., and Donev, A.N. (1996Experimental designs optimally balanced for trend. Technometrics, 38, 333-341.
5. Atkinson, A.C., Donev, A.N., and Tobias, R.D. (2007Optimum Experimental Designs, with SAS. New York: Oxford University Press.
6. Bie, X., Lu, Z., Lu, F., and Zeng, X. (2005Screening the main factors affecting extraction of the antimicrobial substance from bacillus sp. fmbj using the Plackett-Burman method. World Journal of Microbiology and Biotechnology, 21, 925-928.
7. Bingham, D.R., and Sitter, R.R. (1999a). Minimum-aberration two-level fractional factorial split-plot designs. Technometrics, 41, 62-70.
8. Bingham, D.R., and Sitter, R.R. (1999b). Some theoretical results for fractional factorial split-plot designs. Annals of Statistics, 27, 1240-1255.
9. Bingham, D.R., and Sitter, R.R. (2001Design issues in fractional factorial split-plot designs. Journal of Quality Technology, 33, 2-15.
10. Bingham, D.R., and Sitter, R.R. (2003Fractional factorial split-plot designs for robust parameter experiments. Technometrics, 45, 80-89.
11. Bingham, D.R., Schoen, E.D., and Sitter, R.R. (2004Designing fractional factorial split-plot experiments with few whole-plot factors. Journal of the Royal Statistical Society, Ser. C (Applied Statistics), 53, 325-339. Corrigendum, 54, 955-958.
12. Bisgaard, S., and Steinberg, D.M. (1997The design and analysis of 2k-p × s prototype experiments. Technometrics, 39, 52-62.
13. Box, G.E.P., and Draper, N. (1987Empirical Model-Building and Response Surfaces. New York: John Wiley & Sons, Inc.
14. Box, G.E.P., and Jones, S.P. (1992Split-plot designs for robust product experimentation. Journal of Applied Statistics, 19, 3-26.
15. Box, G.E.P., Hunter, W., and Hunter, J. (2005Statistics for Experimenters: Design, Innovation, and Discovery. New York: John Wiley & Sons, Inc. Optimal Design of Experiments: A Case Study Approach, First Edition. Peter Goos and Bradley Jones.
16. Brenneman, W.A., and Myers, W.R. (2003Robust parameter design with categorical noise variables. Journal of Quality Technology, 35, 335-341.
17. Butler, N.A. (2004Construction of two-level split-lot fractional factorial designs for multistage processes. Technometrics, 46, 445-451.
18. Carrano, A.L., Thorn, B.K., and Lopez, G. (2006An integer programming approach to the construction of trend-free experimental plans on split-plot designs. Journal of Manufacturing Systems, 25, 39-44.
19. Castillo, F. (2010Split-split-plot experimental design in a high-throughput reactor. Quality Engineering, 22, 328-335.
20. Cheng, C.S. (1990Construction of run orders of factorial designs. In: Statistical Design and Analysis of Industrial Experiments, (edited by S Ghosh), pp. 423-439. New York: Marcel Dekker.
21. Cheng, C.S., and Jacroux, M. (1988The construction of trend-free run orders of two-level factorial designs. Journal of the American Statistical Association, 83, 1152-1158.
22. Cheng, C.S., and Steinberg, D.M. (1991Trend robust two-level factorial designs. Biometrika, 78, 325-336.
23. Constantine, G.M. (1989Robust designs for serially correlated observations. Biometrika, 76, 241-251.
24. Cook, R.D., and Nachtsheim, C.J. (1989Computer-aided blocking of factorial and responsesurface designs. Technometrics, 31, 339-346.
25. Cornell, J.A. (1988Analyzing data from mixture experiments containing process variables: A split-plot approach. Journal of Quality Technology, 20, 2-23.
26. Cornell, J.A. (2002Experiments with Mixtures: Designs,Models, and the Analysis of Mixture Data. New York: John Wiley & Sons, Inc.
27. Daniel, C., and Wilcoxon, F. (1966Factorial 2p-q plans robust against linear and quadratic trends. Technometrics, 8, 259-278.
28. Dean, A., and Lewis, S. (2006Screening Methods for Experimentation in Industry, Drug Discovery, and Genetics. New York: Springer.
29. Derringer, D., and Suich, R. (1980Simultaneous optimization of several response variables. Journal of Quality Technology, 12, 214-219.
30. Federer,W.T., and King, F. (2007Variations on Split Plot and Split Block ExperimentDesigns. New York: John Wiley & Sons, Inc.
31. Fedorov, V.V. (1972Theory of Optimal Experiments. New York: Academic Press.
32. Ferryanto, L., and Tollefson, N. (2010A split-split-plot design of experiments for foil lidding of contact lens packages. Quality Engineering, 22, 317-327.
33. Fisher, R.A. (1926The arrangement of field experiments. Journal of the Ministry of Agriculture, 33, 503-513.
34. Garroi, J.J., Goos, P., and Sörensen, K. (2009A variable-neighbourhood search algorithm for finding optimal run orders in the presence of serial correlation. Journal of Statistical Planning and Inference, 139, 30-44.
35. Gilmour, S.G. (2006Factor screening via supersaturated designs. In: Screening Methods for Experimentation in Industry, Drug Discovery, and Genetics, (edited by A Dean and S Lewis), pp. 169-190. New York: Springer.
36. Gilmour, S.G., and Goos, P. (2009).Analysis of data from nonorthogonal multi-stratum designs. Journal of the Royal Statistical Society Series C (Applied Statistics), 58, 467-484.
37. Gilmour, S.G., and Trinca, L.A. (2000Some practical advice on polynomial regression analysis from blocked response surface designs. Communications in Statistics: Theory and Methods, 29, 2157-2180.
38. Gilmour, S.G., and Trinca, L.A. (2003Row-column response surface designs. Journal of Quality Technology, 35, 184-193.
39. Giovannitti-Jensen, A., and Myers, R.H. (1989Graphical assessment of the prediction capability of response surface designs. Technometrics, 31, 159-171.
40. Goos, P. (2002The Optimal Design of Blocked and Split-Plot Experiments. New York: Springer.
41. Goos, P. (2006Optimal versus orthogonal and equivalent-estimation design of blocked and split-plot experiments. Statistica Neerlandica, 60, 361-378.
42. Goos, P., and Donev, A.N. (2006a). Blocking response surface designs. Computational Statistics and Data Analysis, 51, 1075-1088.
43. Goos, P., and Donev, A.N. (2006b). The D-optimal design of blocked experimentswith mixture components. Journal of Quality Technology, 38, 319-332.
44. Goos, P., and Donev, A.N. (2007Tailor-made split-plot designs with mixture and process variables. Journal of Quality Technology, 39, 326-339.
45. Goos, P., and Vandebroek, M. (2001D-optimal response surface designs in the presence of random block effects. Computational Statistics and Data Analysis, 37, 433-453.
46. Goos, P., and Vandebroek, M. (2003D-optimal split-plot designs with given numbers and sizes of whole plots. Technometrics, 45, 235-245.
47. Goos, P., and Vandebroek, M. (2004Estimating the intercept in an orthogonally blocked experiment. Communications in Statistics: Theory and Methods, 33, 873-890.
48. Goos, P., Langhans, I., and Vandebroek, M. (2006Practical inference from industrial split-plot designs. Journal of Quality Technology, 38, 162-179.
49. Goos, P., Tack, L., and Vandebroek, M. (2005The optimal design of blocked experiments in industry. In: Applied Optimal Designs, (edited by MPF Berger and WK Wong), pp. 247-279. New York: John Wiley & Sons, Inc.
50. Harrington, E.C. (1965The desirability function. Industrial Quality Control, 21, 494-498.
51. Harville,D.A. (1974).Nearly optimal allocation of experimental units using observed covariate values. Technometrics, 16, 589-599.
52. Harville, D.A., and Jeske, D.R. (1992Mean squared error of estimation or prediction under a general linear model. Journal of the American Statistical Association, 87, 724-731.
53. Hill, H.M. (1960Experimental designs to adjust for time trends. Technometrics, 2, 67-82.
54. John, P.W.M. (1990Time trends and factorial experiments. Technometrics, 32, 275-282.
55. Johnson, M.E., and Nachtsheim, C.J. (1983Some guidelines for constructing exact D-optimal designs on convex design spaces. Technometrics, 25, 271-277.
56. Joiner, B.L., and Campbell, C. (1976Designing experiments when run order is important. Technometrics, 18, 249-259.
57. Jones, B., and DuMouchel,W. (1996Follow-up designs to resolve confounding in multifactor experiments. Discussion. Technometrics, 38, 323-326.
58. Jones, B., and Goos, P. (2007A candidate-set-free algorithm for generating D-optimal splitplot designs. Journal of the Royal Statistical Society, Ser.C(Applied Statistics), 56, 347-364.
59. Jones, B., and Goos, P. (2009D-optimal design of split-split-plot experiments. Biometrika, 96, 67-82.
60. Jones, B., and Nachtsheim, C.J. (2009Split-plot designs: What, why, and how. Journal of Quality Technology, 41, 340-361.
61. Jones, B., and Nachtsheim, C.J. (2011a). A class of three-level designs for definitive screening in the presence of second-order effects. Journal of Quality Technology, 43, 1-15.
62. Jones, B., and Nachtsheim, C.J. (2011b). Efficient designs with minimal aliasing. Technometrics, 53, 62-71.
63. Kackar, R.N., and Harville, D.A. (1981Unbiasedness of two-stage estimation and prediction procedures for mixed linear models. Communications in Statistics: Theory and Methods, 10, 1249-1261.
64. Kackar, R.N., and Harville, D.A. (1984Approximations for standard errors of estimators of fixed and random effects in mixed linear models. Journal of the American Statistical Association, 79, 853-862.
65. Kenward, M.G., and Roger, J.H. (1997Small sample inference for fixed effects from restricted maximum likelihood. Biometrics, 53, 983-997.
66. Khuri, A.I. (1992Response surface models with random block effects. Technometrics, 34, 26-37.
67. Khuri, A.I. (1996).Response surface models with mixed effects. Journal of Quality Technology, 28, 177-186.
68. Kowalski, S.M., Cornell, J.A., and Vining, G.G. (2000A new model and class of designs for mixture experiments with process variables. Communications in Statistics: Theory and Methods, 29, 2255-2280.
69. Kowalski, S.M., Cornell, J.A., and Vining, G.G. (2002Split-plot designs and estimation methods for mixture experiments with process variables. Technometrics, 44, 72-79.
70. Langhans, I., Goos, P., and Vandebroek, M. (2005Identifying effects under a split-plot design structure. Journal of Chemometrics, 19, 5-15.
71. Li, X., Sudarsanam, N., and Frey, D.D. (2006Regularities in data from factorial experiments. Complexity, 11, 32-45.
72. Loukas,Y.L. (19972(k-p) fractional factorial design via fold over: Application to optimization of novel multicomponent vesicular systems. Analyst, 122, 1023-1027.
73. Marley, C.J., and Woods, D. (2010A comparison of design and model selection methods for supersaturated experiments. Computational Statistics and Data Analysis, 54, 3158-3167.
74. Martin, R.J., Eccleston, J.A., and Jones, G. (1998a). Some results on multi-level factorial designs with dependent observations. Journal of Statistical Planning and Inference, 73, 91-111.
75. Martin, R.J., Jones, G., and Eccleston, J.A. (1998b). Some results on two-level factorial designs with dependent observations. Journal of Statistical Planning and Inference, 66, 363-384.
76. McLeod, R,G., and Brewster, J,F. (2004The design of blocked fractional factorial split-plot experiments. Technometrics, 46, 135-146.
77. McLeod, R.G., and Brewster, J.F. (2006Blocked fractional factorial split-plot experiments for robust parameter design. Journal of Quality Technology, 38, 267-279.
78. Mee, R.W. (2009A Comprehensive Guide to Factorial Two-Level Experimentation. New York: Springer.
79. Mee, R.W., and Bates, R.L. (1998Split-lot designs: Experiments for multistage batch processes. Technometrics, 40, 127-140.
80. Mee, R.W., and Romanova, A.V. (2010Constructing and analyzing two-level trend-robust designs. Quality Engineering, 22, 306-316. Corrigendum, 23, 112.
81. Meyer, R.D., Steinberg, D.M., and Box, G. (1996Follow-up designs to resolve confounding in multifactor experiments. Technometrics, 38, 303-313.
82. Meyer, R.K., and Nachtsheim,C.J. (1995The coordinate-exchange algorithm for constructing exact optimal experimental designs. Technometrics, 37, 60-69.
83. Miller, A. (1997Strip-plot configurations of fractional factorials. Technometrics, 39, 153-161.
84. Miller, A., and Sitter, R.R. (2001Using the folded-over 12-run Plackett-Burman design to consider interactions. Technometrics, 43, 44-55.
85. Mitchell, T.J. (1974An algorithm for the construction of D-optimal experimental designs. Technometrics, 16, 203-210.
86. Montgomery, D.C. (2009Design and Analysis of Experiments. New York: John Wiley & Sons, Inc.
87. Myers, R.H., Montgomery, D.C., and Anderson-Cook, C. (2009Response Surface Methodology: Process and Product Optimization using Designed Experiments. New York: John Wiley & Sons, Inc.
88. Myers, R.H.,Vining, G.G.,Giovannitti-Jensen,A., and Myers, S.L. (1992).Variance dispersion properties of second-order response surface designs. Journal of Quality Technology, 24, 1-11.
89. Nachtsheim, C.J. (1989On the design of experiments in the presence of fixed covariates. Journal of Statistical Planning and Inference, 22, 203-212.
90. Paniagua-Quiñones, C., and Box, G.E.P. (2008Use of strip-strip-block design for multi-stage processes to reduce cost of experimentation. Quality Engineering, 20, 46-52.
91. Paniagua-Quiñones, C., and Box, G.E.P. (2009A post-fractionated strip-strip-block design for multi-stage processes. Quality Engineering, 21, 156-167.
92. Patterson, H.D., and Thompson, R. (1971Recovery of inter-block information when block sizes are unequal. Biometrika, 5, 545-554.
93. Piepel, G.F. (1983Defining consistent constraint regions in mixture experiments. Technometrics 25, 97-101.
94. Piepel, G.F. (1999).Modeling methods for mixture-of-mixtures experiments applied to a tablet formulation problem. Pharmaceutical Development and Technology, 4, 593-606.
95. Piepel, G.F., Cooley, S.K., and Jones, B. (2005Construction of a 21-component layered mixture experiment design using a new mixture coordinate-exchange algorithm. Quality Engineering 17, 579-594.
96. Prescott, P. (2004Modelling in mixture experiments including interactions with process variables. Quality Technology and Quality Management 1, 87-103.
97. Rodríguez, M., Jones, B., Borror, C.M., and Montgomery, D.C. (2010Generating and assessing exact G-optimal designs. Journal of Quality Technology, 42, 1-18.
98. Ruggoo, A., and Vandebroek, M. (2004Bayesian sequential d-d optimal model-robust designs. Computational Statistics and Data Analysis, 47, 655-673.
99. Simpson, J.R., Kowalski, S.M., and Landman, D. (2004Experimentation with randomization restrictions: Targeting practical implementation. Quality and Reliability Engineering International, 20, 481-495.
100. Smith, W.F. (2005Experimental Design for Formulation. Philadelphia: SIAM.
101. Tack, L., and Vandebroek, M. (2001(Dt ,C)-optimal run orders. Journal of Statistical Planning and Inference, 98, 293-310.
102. Tack, L., and Vandebroek, M. (2002Trend-resistant and cost-efficient block designs with fixed or random block effects. Journal of Quality Technology, 34, 422-436.
103. Tack, L., and Vandebroek, M. (2003Semiparametric exact optimal run orders. Journal of Quality Technology, 35, 168-183.
104. Tack, L., and Vandebroek, M. (2004Budget constrained run orders in optimum design. Journal of Statistical Planning and Inference, 124, 231-249.
105. Trinca, L.A., and Gilmour, S.G. (2001Multi-stratum response surface designs. Technometrics, 43, 25-33.
106. Vivacqua, C.A., and Bisgaard, S. (2004Strip-block experiments for process improvement and robustness. Quality Engineering, 16, 495-500.
107. Vivacqua, C.A., and Bisgaard, S. (2009Post-fractionated strip-block designs. Technometrics, 51, 47-55.
108. Wesley, W.R., Simpson, J.R., Parker, P.A., and Pignatiello, J.J. (2009Exact calculation of integrated prediction variance for response surface designs on cuboidal and spherical regions. Journal of Quality Technology, 41, 165-180.
109. Wu, C.F.J., and Hamada, M. (2009Experiments: Planning, Analysis, and Optimization. New York: John Wiley & Sons, Inc.
110. Zahran, A.R., Anderson-Cook, C.M., and Myers, R.H. (2003Fraction of design space to assess prediction capability of response surface designs. Journal of Quality Technology, 35, 377-386.
111. Zhou, J. (2001).Arobust criterion for experimental designs for serially correlated observations. Technometrics, 43, 462-467.