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Primary Article

Multistratum Response Surface Designs

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Pages 25-33 | Published online: 01 Jan 2012

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Read on this site (36)

M. Hemavathi, Shashi Shekhar, Eldho Varghese, Seema Jaggi, Bikas Sinha & Nripes Kumar Mandal. (2022) Theoretical developments in response surface designs: an informative review and further thoughts. Communications in Statistics - Theory and Methods 51:7, pages 2009-2033.
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Shaun S. Wulff, Yongtao Cao & Timothy J. Robinson. (2020) DP Pareto optimal balanced orthogonal subplot designs. Quality Technology & Quantitative Management 17:4, pages 486-500.
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Peter Goos & Kalliopi Mylona. (2018) Quadrature Methods for Bayesian Optimal Design of Experiments With Nonnormal Prior Distributions. Journal of Computational and Graphical Statistics 27:1, pages 179-194.
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Luzia A. Trinca & Steven G. Gilmour. (2017) Split-Plot and Multi-Stratum Designs for Statistical Inference. Technometrics 59:4, pages 446-457.
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Pi-Wen Tsai. (2016) A Study of Two Types of Split-Plot Designs. Journal of Quality Technology 48:1, pages 44-53.
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Bagus Sartono, Peter Goos & Eric Schoen. (2015) Constructing General Orthogonal Fractional Factorial Split-Plot Designs. Technometrics 57:4, pages 488-502.
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Luzia A. Trinca & Steven G. Gilmour. (2015) Improved Split-Plot and Multistratum Designs. Technometrics 57:2, pages 145-154.
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Heidi Arnouts & Peter Goos. (2015) Staggered-Level Designs for Response Surface Modeling. Journal of Quality Technology 47:2, pages 156-175.
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Lu Lu, Timothy J. Robinson & Christine M. Anderson-Cook. (2014) A Case Study to Select an Optimal Split-Plot Design for a Mixture-Process Experiment Based on Multiple Objectives. Quality Engineering 26:4, pages 424-439.
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Woon Yuen Koh, Kent M. Eskridge & Milford A. Hanna. (2013) Supersaturated Split-Plot Designs. Journal of Quality Technology 45:1, pages 61-73.
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Heidi Arnouts, Peter Goos & Bradley Jones. (2013) Three-Stage Industrial Strip-Plot Experiments. Journal of Quality Technology 45:1, pages 1-17.
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Heidi Arnouts & Peter Goos. (2012) Staggered-Level Designs for Experiments With More Than One Hard-to-Change Factor. Technometrics 54:4, pages 355-366.
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Peter Goos & StevenG. Gilmour. (2012) A General Strategy for Analyzing Data From Split-Plot and Multistratum Experimental Designs. Technometrics 54:4, pages 340-354.
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Bradley Jones & Peter Goos. (2012) An Algorithm for Finding D-Efficient Equivalent-Estimation Second-Order Split-Plot Designs. Journal of Quality Technology 44:4, pages 363-374.
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Bradley Jones & Peter Goos. (2012) I-Optimal Versus D-Optimal Split-Plot Response Surface Designs. Journal of Quality Technology 44:2, pages 85-101.
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ChristopherI. Vahl & GeorgeA. Milliken. (2011) Whole-Plot Exchange Algorithms for Constructing D-Optimal Multistratum Designs. Communications in Statistics - Simulation and Computation 40:7, pages 1030-1042.
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Eric Schoen, Bradley Jones & Peter Goos. (2011) A Split-Plot Experiment with Factor-Dependent Whole-Plot Sizes. Journal of Quality Technology 43:1, pages 66-79.
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Harrison Macharia & Peter Goos. (2010) D-Optimal and D-Efficient Equivalent-Estimation Second-Order Split-Plot Designs. Journal of Quality Technology 42:4, pages 358-372.
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Bradley Jones & Christopher J. Nachtsheim. (2009) Split-Plot Designs: What, Why, and How. Journal of Quality Technology 41:4, pages 340-361.
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Narinder Singh Sahni, Greg F. Piepel & Tormod Næs. (2009) Product and Process Improvement Using Mixture-Process Variable Methods and Robust Optimization Techniques. Journal of Quality Technology 41:2, pages 181-197.
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G. Geoffrey Vining & Scott M. Kowalski. (2008) Exact Inference for Response Surface Designs Within a Split-Plot Structure. Journal of Quality Technology 40:4, pages 394-406.
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Peter A. Parker, Scott M. Kowalski & G. Geoffrey Vining. (2007) Unbalanced and Minimal Point Equivalent Estimation Second-Order Split-Plot Designs. Journal of Quality Technology 39:4, pages 376-388.
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Robert W. Mee. (2007) Optimal Three-Level Designs for Response Surfaces in Spherical Experimental Regions. Journal of Quality Technology 39:4, pages 340-354.
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Peter Goos & Alexander N. Donev. (2007) Tailor-Made Split-Plot Designs for Mixture and Process Variables. Journal of Quality Technology 39:4, pages 326-339.
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Peter A Parker, Scott M Kowalski & G. Geoffrey Vining. (2007) Construction of Balanced Equivalent Estimation Second-Order Split-Plot Designs. Technometrics 49:1, pages 56-65.
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Li Liang, Christine M Anderson-Cook, Timothy J Robinson & Raymond H Myers. (2006) Three-Dimensional Variance Dispersion Graphs for Split-Plot Designs. Journal of Computational and Graphical Statistics 15:4, pages 757-778.
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Xuan Lu, William Li & Miao Xie. (2006) A Class of Nearly Orthogonal Arrays. Journal of Quality Technology 38:2, pages 148-161.
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Murat Kulahci, José G. Ramírez & Randy Tobias. (2006) Split-Plot Fractional Designs: Is Minimum Aberration Enough?. Journal of Quality Technology 38:1, pages 56-64.
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G. Geoffrey Vining, Scott M. Kowalski & Douglas C. Montgomery. (2005) Response Surface Designs within a Split-Plot Structure. Journal of Quality Technology 37:2, pages 115-129.
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Peter Goos & Martina Vandebroek. (2005) Estimating the Intercept in an Orthogonally Blocked Experiment when the Block Effects are Random. Communications in Statistics - Theory and Methods 33:4, pages 873-890.
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Frøydis Bjerke, Are Halvor Aastveit, Walter W. Stroup, Bente Kirkhus & Tormod Næs. (2004) Design and Analysis of Storing Experiments: A Case Study. Quality Engineering 16:4, pages 591-611.
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Raymond H. Myers, Douglas C. Montgomery, G. Geoffrey Vining, Connie M. Borror & Scott M. Kowalski. (2004) Response Surface Methodology: A Retrospective and Literature Survey. Journal of Quality Technology 36:1, pages 53-77.
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Peter Goos & Martina Vandebroek. (2004) Outperforming Completely Randomized Designs. Journal of Quality Technology 36:1, pages 12-26.
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Derek F. Webb, James M. Lucas & John J. Borkowski. (2004) Factorial Experiments When Factor Levels are Not Necessarily Reset. Journal of Quality Technology 36:1, pages 1-11.
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Peter Goos & Martina Vanderbroek. (2003) D-Optimal Split-Plot Designs With Given Numbers and Sizes of Whole Plots. Technometrics 45:3, pages 235-245.
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Steven G. Gilmour & Luzia A. Trinca. (2003) Row-Column Response Surface Designs. Journal of Quality Technology 35:2, pages 184-193.
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Matteo Borrotti, Francesco Sambo & Kalliopi Mylona. (2022) Multi-objective optimisation of split-plot designs. Econometrics and Statistics.
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Chang-Yun Lin & Po Yang. (2019) Data-driven multistratum designs with the generalized Bayesian - criterion for highly uncertain models . Computational Statistics & Data Analysis 138, pages 222-238.
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Suwattanarwong Phanphet, Athiwat Wangmai, Surapong Bangphan & Phiraphan Bangphan. 2019. Transactions on Engineering Technologies. Transactions on Engineering Technologies 297 306 .
Chang-Yun Lin & Po Yang. (2018) Robust multistratum baseline designs. Computational Statistics & Data Analysis 118, pages 98-111.
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Daniel Palhazi Cuervo, Peter Goos & Kenneth Sörensen. (2017) An algorithmic framework for generating optimal two-stratum experimental designs. Computational Statistics & Data Analysis 115, pages 224-249.
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Matteo Borrotti, Francesco Sambo, Kalliopi Mylona & Steven Gilmour. (2016) A multi-objective coordinate-exchange two-phase local search algorithm for multi-stratum experiments. Statistics and Computing 27:2, pages 469-481.
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Linda Lee Ho, Carla A. Vivacqua & André Luís Santos de Pinho. (2016) Minimum Setup Minimum Aberration Two-level Split-plot Type Designs for Physical Prototype Testing. Quality and Reliability Engineering International 32:3, pages 1007-1020.
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Peter Goos. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Francesco Sambo, Matteo Borrotti & Kalliopi Mylona. (2014) A coordinate-exchange two-phase local search algorithm for the D- and I-optimal designs of split-plot experiments. Computational Statistics & Data Analysis 71, pages 1193-1207.
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S. Loeza-Serrano & A.N. Donev. (2014) Construction of experimental designs for estimating variance components. Computational Statistics & Data Analysis 71, pages 1168-1177.
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Lu Lu & Christine M. Anderson-Cook. (2014) Balancing Multiple Criteria Incorporating Cost using Pareto Front Optimization for Split-Plot Designed Experiments. Quality and Reliability Engineering International 30:1, pages 37-55.
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Byran J. Smucker, Enrique del Castillo & James L. Rosenberger. (2012) Model-robust designs for split-plot experiments. Computational Statistics & Data Analysis 56:12, pages 4111-4121.
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G. Geoffrey Vining. 2012. Design and Analysis of Experiments. Design and Analysis of Experiments 471 500 .
Peter Goos & Bradley Jones. 2011. Optimal Design of Experiments. Optimal Design of Experiments 277 282 .
Li Wang, G. Geoffrey Vining & Scott M. Kowalski. (2009) Two‐strata rotatability in split‐plot central composite designs. Applied Stochastic Models in Business and Industry 26:4, pages 431-447.
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Amy S. GongCarl H. BolsterMagda BenavidesSharon L. Walker. (2009) Extraction and Analysis of Extracellular Polymeric Substances: Comparison of Methods and Extracellular Polymeric Substance Levels in Salmonella pullorum SA 1685 . Environmental Engineering Science 26:10, pages 1523-1532.
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Steven G. Gilmour & Peter Goos. (2009) Analysis of Data from Non-Orthogonal Multistratum Designs in Industrial Experiments. Journal of the Royal Statistical Society Series C: Applied Statistics 58:4, pages 467-484.
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B. Jones & P. Goos. (2009) D-optimal design of split-split-plot experiments. Biometrika 96:1, pages 67-82.
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Greg F. Piepel, Alejandro Heredia‐Langner & Scott K. Cooley. (2008) Property–Composition–Temperature Modeling of Waste Glass Melt Data Subject to a Randomization Restriction. Journal of the American Ceramic Society 91:10, pages 3222-3228.
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Frøydis Bjerke, Øyvind Langsrud & Are Halvor Aastveit. (2007) Restricted randomization and multiple responses in industrial experiments. Quality and Reliability Engineering International 24:2, pages 167-181.
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Peter A. Parker, Christine Anderson‐Cook, Timothy J. Robinson & Li Liang. (2007) Robust split‐plot designs. Quality and Reliability Engineering International 24:1, pages 107-121.
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Peter Goos. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
Li Liang, Christine M. Anderson‐Cook & Timothy J. Robinson. (2006) Cost‐penalized estimation and prediction evaluation for split‐plot designs. Quality and Reliability Engineering International 23:5, pages 577-596.
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Bradley Jones & Peter Goos. (2007) A Candidate-Set-Free Algorithm for Generating D -Optimal Split-Plot Designs . Journal of the Royal Statistical Society Series C: Applied Statistics 56:3, pages 347-364.
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Scott M. Kowalski, G. Geoffrey Vining, Douglas C. Montgomery & Connie M. Borror. (2006) Modifying a Central Composite Design to Model the Process Mean and Variance When there are Hard-to-Change Factors. Journal of the Royal Statistical Society Series C: Applied Statistics 55:5, pages 615-630.
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Peter Goos. (2006) Optimal versus orthogonal and equivalent-estimation design of blocked and split-plot experiments. Statistica Neerlandica 60:3, pages 361-378.
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Peter A. Parker, Scott M. Kowalski & G. Geoffrey Vining. (2006) Classes of Split-plot Response Surface Designs for Equivalent Estimation. Quality and Reliability Engineering International 22:3, pages 291-305.
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Geoff Vining & Scott Kowalski. 2006. Frontiers in Statistical Quality Control 8. Frontiers in Statistical Quality Control 8 342 351 .
Jitendra Ganju & James M. Lucas. (2005) Randomized and random run order experiments. Journal of Statistical Planning and Inference 133:1, pages 199-210.
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Ivan Langhans, Peter Goos & Martina Vandebroek. (2005) Identifying effects under a split-plot design structure. Journal of Chemometrics 19:1, pages 5-15.
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