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Original Articles

An Algorithm for the Construction of “D-Optimal” Experimental Designs

Pages 203-210 | Published online: 09 Apr 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (98)

Jonathan Stallrich, Katherine Allen-Moyer & Bradley Jones. (2023) D- and A-Optimal Screening Designs. Technometrics 65:4, pages 492-501.
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Samuel Rosa. (2023) Toward more numerically stable computations of optimal experimental designs. Communications in Statistics - Simulation and Computation 0:0, pages 1-15.
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Bradley Jones, Katherine Allen-Moyer & Peter Goos. (2021) A-optimal versus D-optimal design of screening experiments. Journal of Quality Technology 53:4, pages 369-382.
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Akin Ozdemir & Byung Rae Cho. (2019) Response surface optimization for a nonlinearly constrained irregular experimental design space. Engineering Optimization 51:12, pages 2030-2048.
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Deepak K. Gupta & Anoop K. Dhingra. (2017) A reduced modal parameter based algorithm to estimate excitation forces from optimally placed accelerometers. Inverse Problems in Science and Engineering 25:3, pages 397-417.
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Upendra Kumar Pradhan, Krishan Lal, Sukanta Dash & K. N. Singh. (2017) Design and analysis of mixture experiments with process variable. Communications in Statistics - Theory and Methods 46:1, pages 259-270.
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Moein Saleh & Rong Pan. (2016) Constructing Efficient Experimental Designs for Generalized Linear Models. Communications in Statistics - Simulation and Computation 45:8, pages 2827-2845.
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Moein Saleh & Rong Pan. (2016) A clustering-based coordinate exchange algorithm for generating G-optimal experimental designs. Journal of Statistical Computation and Simulation 86:8, pages 1582-1604.
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M. R. Faghihi & S. Tat. (2016) On Φp-optimality of Incomplete Block Designs: An Algorithm. Communications in Statistics - Simulation and Computation 45:2, pages 758-769.
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Pooya Dehghan Kelishady, Ebrahim Saadat, Fatemeh Ravar, Hamid Akbari & Farid Dorkoosh. (2015) Pluronic F127 polymeric micelles for co-delivery of paclitaxel and lapatinib against metastatic breast cancer: preparation, optimization and in vitro evaluation. Pharmaceutical Development and Technology 20:8, pages 1009-1017.
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Rui Tuo, C. F. Jeff Wu & Dan Yu. (2014) Surrogate Modeling of Computer Experiments With Different Mesh Densities. Technometrics 56:3, pages 372-380.
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DavidJ. Edwards & KevinD. Kelly. (2014) Selecting a 𝒟-Optimal Follow-Up Experiment Among Candidate Choices. Quality Engineering 26:2, pages 233-245.
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ByranJ. Smucker, Enrique del Castillo & JamesL. Rosenberger. (2012) Model-Robust Two-Level Designs Using Coordinate Exchange Algorithms and a Maximin Criterion. Technometrics 54:4, pages 367-375.
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R.L.J. Coetzer, R. F Rossouw & N. J. Le Roux. (2012) Efficient maximin distance designs for experiments in mixtures. Journal of Applied Statistics 39:9, pages 1939-1951.
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RachelT. Johnson, DouglasC. Montgomery & BradleyA. Jones. (2011) An Expository Paper on Optimal Design. Quality Engineering 23:3, pages 287-301.
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Byran J. Smucker, Enrique Del Castillo & James L. Rosenberger. (2011) Exchange Algorithms for Constructing Model-Robust Experimental Designs. Journal of Quality Technology 43:1, pages 28-42.
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BernhardH. Anderson & HaroldS. Haller. (2010) Combining Computational Fluid Dynamics Analysis Data with Experimentally Measured Data. Quality Engineering 23:1, pages 46-58.
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TimothyJ. Robinson & ChristineM. Anderson-Cook. (2010) A Closer Look at D-Optimality for Screening Designs. Quality Engineering 23:1, pages 1-14.
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Adel Younis & Zuomin Dong. (2010) Trends, features, and tests of common and recently introduced global optimization methods. Engineering Optimization 42:8, pages 691-718.
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Myrta Rodríguez, Bradley Jones, Connie M. Borror & Douglas C. Montgomery. (2010) Generating and Assessing Exact G-Optimal Designs. Journal of Quality Technology 42:1, pages 3-20.
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Stefano Barone & Alberto Lombardo. (2006) Balanced Asymmetrical Nearly Orthogonal Designs for first and second order effect estimation. Journal of Applied Statistics 33:4, pages 373-386.
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GregF. Piepel, ScottK. Cooley & Bradley Jones. (2005) Construction of a 21-Component Layered Mixture Experiment Design Using a New Mixture Coordinate-Exchange Algorithm. Quality Engineering 17:4, pages 579-594.
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You-Jin Park, Diane E. Richardson, Douglas C. Montgomery, Ayca Ozol-Godfrey, Connie M. Borror & Christine M. Anderson-Cook. (2005) Prediction Variance Properties of Second-Order Designs for Cuboidal Regions. Journal of Quality Technology 37:4, pages 253-266.
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Debra Ingram & Boxin Tang. (2005) Minimum G Aberration Design Construction and Design Tables for 24 Runs. Journal of Quality Technology 37:2, pages 101-114.
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Lexin Li & William Li. (2005) Tabu Search and Perturbation Methods in the Construction of Supersaturated Designs. American Journal of Mathematical and Management Sciences 25:1-2, pages 189-205.
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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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Taesung Moon, Myung Whan Chi, Song Ja Park & Chang No Yoon. (2003) Prediction of HPLC Retention Time Using Multiple Linear Regression: Using One and Two Descriptors. Journal of Liquid Chromatography & Related Technologies 26:18, pages 2987-3002.
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Miguel A. Lejeune. (2003) A “Coordinate-Columnwise” Exchange Algorithm for the Construction of Supersaturated, Saturated, and Non-Saturated Experimental Designs. American Journal of Mathematical and Management Sciences 23:1-2, pages 109-142.
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Peter Goos & Martina Vandebroek. (2001) Optimal Split-Plot Designs. Journal of Quality Technology 33:4, pages 436-450.
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MaxD. Morris. (2000) Three Technomefrics Experimental Design Classics. Technometrics 42:1, pages 26-27.
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Ling-Yau Chan. (2000) Optimal designs for experiments with mixtures: a survey. Communications in Statistics - Theory and Methods 29:9-10, pages 2281-2312.
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W. Matthew Carlyle, Douglas C. Montgomery & George C. Runger. (2000) Optimization Problems and Methods in Quality Control and Improvement. Journal of Quality Technology 32:1, pages 1-17.
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Lisa M. Belue & Kenneth W. Bauer$suffix/text()$suffix/text(). (1999) Designing experiments for single output multilayer perceptrons. Journal of Statistical Computation and Simulation 64:4, pages 301-325.
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Raymond H. Myers. (1999) Response Surface Methodology—Current Status and Future Directions. Journal of Quality Technology 31:1, pages 30-44.
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Grace Montepiedra. (1998) Application of genetic algorithms to the construction of exact D-optimal designs. Journal of Applied Statistics 25:6, pages 817-826.
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Russell R. Barton. (1998) Design-Plots for Factorial and Fractional-Factorial Designs. Journal of Quality Technology 30:1, pages 40-54.
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S. H. HAN, B. H. WILLIGES & R. C. WILLIGES. (1997) A paradigm for sequential experimentation. Ergonomics 40:7, pages 737-760.
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A.C. Atkinson & A.N. Donev. (1996) Experimental Designs Optimally Balanced for Trend. Technometrics 38:4, pages 333-341.
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RuthK. Meyer & ChristopherJ. Nachtsheim. (1995) The Coordinate-Exchange Algorithm for Constructing Exact Optimal Experimental Designs. Technometrics 37:1, pages 60-69.
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W. T. Loos, H. W. Geluk, M. M. A. Ruijken, C. G. Kruse, J. Brussee & A. Van Der Gen. (1995) Synthesis of Optically Active Cyanohydrins Using R-Oxynitrilase in a Liquid-Liquid Biphasic System: Part 1: An Industrially useful Procedure. Biocatalysis and Biotransformation 12:4, pages 255-266.
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Dennis Cook & Valery Fedorov. (1995) Invited Discussion Paper Constrained Optimization of Experimental Design. Statistics 26:2, pages 129-148.
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Nam-Ky Nguyen. (1994) Construction of Optimal Block Designs by Computer. Technometrics 36:3, pages 300-307.
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Shahriar Shahriari. (1994) On maximizing det XX . Linear and Multilinear Algebra 36:4, pages 275-278.
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William DuMouchel & Bradley Jones. (1994) A Simple Bayesian Modification of D-Optimal Designs to Reduce Dependence on an Assumed Model. Technometrics 36:1, pages 37-47.
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Dennis K. J. Lin. (1993) Another Look at First-Order Saturated Designs: The p-efficient Designs. Technometrics 35:3, pages 284-292.
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Nam-Ky Nguyen. (1993) An algorithm for constructing optimal resolvable incomplete block designs. Communications in Statistics - Simulation and Computation 22:3, pages 911-923.
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Carla Currin, Toby Mitchell, Max Morris & Don Ylvisaker. (1991) Bayesian Prediction of Deterministic Functions, with Applications to the Design and Analysis of Computer Experiments. Journal of the American Statistical Association 86:416, pages 953-963.
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AnneC. Shoemaker, Kwok-Leung Tsui & C. F. Jeff Wu. (1991) Economical Experimentation Methods for Robust Design. Technometrics 33:4, pages 415-427.
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G. A. Lewis. (1991) Non Classical Experimental Designs in Pharmaceutical Formulation. Drug Development and Industrial Pharmacy 17:12, pages 1551-1570.
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JOHN. A Cornell. (1991) Mixture designs for product improvement studies. Communications in Statistics - Theory and Methods 20:2, pages 391-416.
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NormanR. Draper & Dennis K. J. Lin. (1990) Small Response-Surface Designs. Technometrics 32:2, pages 187-194.
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Gregory F. Piepel. (1990) Screening Designs for Constrained Mixture Experiments Derived from Classical Screening Designs. Journal of Quality Technology 22:1, pages 23-33.
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George F. Koons. (1989) Effect of Sinter Composition on Emissions: A Multi-Component, Highly-Constrained Mixture Experiment. Journal of Quality Technology 21:4, pages 261-267.
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R. Dennis Cook & ChristopherJ. Nachtsheim. (1989) Computer-Aided Blocking of Factorial and Response-Surface Designs. Technometrics 31:3, pages 339-346.
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Ann Giovannitti-Jensen & RaymondH. Myers. (1989) Graphical Assessment of the Prediction Capability of Response Surface Designs. Technometrics 31:2, pages 159-171.
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RaymondH. Myers, AndréI. Khuri & WalterH. Carter. (1989) Response Surface Methodology: 1966–l988. Technometrics 31:2, pages 137-157.
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I.N. Vuchkov, D.L. Damgaliev & A.N. Donev. (1989) Generation of d–optimal designs in a finite design space. Communications in Statistics - Simulation and Computation 18:1, pages 319-337.
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V. Fedorov & W. Mueller. (1989) Comparison of two approaches in the optimal design of an observation network. Statistics 20:3, pages 339-351.
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A.N. Donev & A.C. Atkinson. (1988) An Adjustment Algorithm for the Construction of Exact D -Optimum Experimental Designs. Technometrics 30:4, pages 429-433.
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Ruth K. Meyer & Christopher J. Nachtsheim. (1988) Constructing Exact D-Optimal Experimental Designs by Simulated Annealing. American Journal of Mathematical and Management Sciences 8:3-4, pages 329-359.
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M. Chariot, G. A. Lewis, D. Mathieu, R. Phan-tan-luu & H. N. E. Stevens. (1988) Experimental Design for Pharmaceutical Process Characterisation and Optimisation Using an Exchange Algorithm. Drug Development and Industrial Pharmacy 14:15-17, pages 2535-2556.
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C.K. Bayne & C.Y. Ma. (1987) Optimization of Solvent Composition for High Performance Thin-Layer Chromatography. Journal of Liquid Chromatography 10:16, pages 3529-3546.
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Christopher J. Nachtsheim. (1987) Tools for Computer-Aided Design of Experiments. Journal of Quality Technology 19:3, pages 132-160.
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Gregory F. Piepel & John A. Cornell. (1987) Designs for Mixture-Amount Experiments. Journal of Quality Technology 19:1, pages 11-28.
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Ronald D. Snee. (1985) Computer-Aided Design of Experiments—Some Practical Experiences. Journal of Quality Technology 17:4, pages 222-236.
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Eric Ziegel. (1985) Applied Factorial and Fractional Designs. Technometrics 27:3, pages 315-316.
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DavidM. Barth, RobertJ. McKay & J. Richard Elliott. (1985) A Difficulty Information Approach to Substituent Selection in QSAR Studies. Technometrics 27:1, pages 25-35.
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WilliamJ. Welch. (1984) Computer-Aided Design of Experiments for Response Estimation. Technometrics 26:3, pages 217-224.
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DavidM. Steinberg & WilliamG. Hunter. (1984) Experimental Design: Review and Comment. Technometrics 26:2, pages 71-97.
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Dennis E. Smith & Carl A. Mauro. (1984) Design of Experiments in Simulation. American Journal of Mathematical and Management Sciences 4:3-4, pages 249-275.
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MaxD. Morris & TobyJ. Mitchell. (1983) Two-Level Multifactor Designs for Detecting the Presence of Interactions. Technometrics 25:4, pages 345-355.
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MarkE. Johnson & ChristopherJ. Nachtsheim. (1983) Some Guidelines for Constructing Exact D-Optimal Designs on Convex Design Spaces. Technometrics 25:3, pages 271-277.
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CarlA. Mauro & DennisE. Smith. (1982) The Performance of Two-Stage Group Screening in Factor Screening Experiments. Technometrics 24:4, pages 325-330.
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William J. Welch. (1982) Algorithmic complexity: three NP- hard problems in computational statistics. Journal of Statistical Computation and Simulation 15:1, pages 17-25.
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DennisE. Smith & DeniseD. Schrmoyer. (1982) First-Order “Interruptible” Designs. Technometrics 24:1, pages 55-58.
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I.N. Vuchkov, D.L. Damgaliev & Ch.A. Yontchev. (1981) Sequentially Generated Second Order Quasi D-Optimal Designs for Experiments With Mixture and Process Variables. Technometrics 23:3, pages 233-238.
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RonaldD. Snee. (1981) Developing Blending Models for Gasoline and Other Mixtures. Technometrics 23:2, pages 119-130.
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R. Dennis Cook & ChristopherJ. Nachtrheim. (1980) A Comparison of Algorithms for Constructing Exact D-Optimal Designs. Technometrics 22:3, pages 315-324.
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J.A. John. (1980) New developments in classical design . Series Statistics 11:3, pages 389-402.
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JamesW. Evans. (1979) Computer Augmentation of Experimental Designs to Maximize |X′X|. Technometrics 21:3, pages 321-330.
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Ronald D. Snee. (1979) Experimental designs for mixture systems with multicomponent constraints. Communications in Statistics - Theory and Methods 8:4, pages 303-326.
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T.J. Mitchell & C.K. Bayne. (1978) D-Optimal Fractions of Three-Level Factorial Designs. Technometrics 20:4, pages 369-380.
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JamesW. Evans & A.R. Manson. (1978) Optimal Experimental Designs in Two Dimensions Using Minimum Bias Estimation. Journal of the American Statistical Association 73:361, pages 171-176.
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A. Ash & A. Hedayat. (1978) An introduction to designh optimality with an overview of the literature. Communications in Statistics - Theory and Methods 7:14, pages 1295-1325.
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Wilkie W. Chaffin, John T. Sennetti & Klaus Hinkelmann. (1977) A procedure for optimal augmentation of multidimensional designs. Communications in Statistics - Theory and Methods 6:7, pages 679-689.
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Byron Jones. (1976) An Algorithm for Deriving Optimal Block Designs. Technometrics 18:4, pages 451-458.
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K.G. Roquemore. (1976) Hybrid Designs for Quadratic Response Surfaces. Technometrics 18:4, pages 419-423.
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RonaldD. Snee & DonaldW. Marquardt. (1976) Screening Concepts and Designs for Experiments with Mixtures. Technometrics 18:1, pages 19-29.
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R. C. St. John & N.R. Draper. (1975) D-Optimality for Regression Designs: A Review. Technometrics 17:1, pages 15-23.
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MichaelJ. Box & NormanR. Draper. (1974) On Minimum-Point Second-Order Designs. Technometrics 16:4, pages 613-616.
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DavidA. Harville. (1974) Nearly Optimal Allocation of Experimental Units Using Observed Covariate Values. Technometrics 16:4, pages 589-599.
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