Advanced search
Publication Cover
Technometrics Volume 22, 1980 - Issue 3
Submit an article Journal homepage
54
Views
62
CrossRef citations to date
0
Altmetric
Original Articles

Time- and Space-Saving Computer Methods, Related to Mitchell's DETMAX, for Finding D-Optimum Designs

Z. Galil Department of Mathematical Sciences, University of Tel Aviv, Ramat Aviv, Tel Aviv, Israel
&
J. Kiefer Department of Statistics, University of California, Berkeley, Berkeley, CA, 94720
Pages 301-313 | Published online: 23 Mar 2012

Citations (62)

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

Subscribe to citation updates

Read on this site (21)

Peter Goos & Bradley Jones. (2019) Optimal Experimental Design in the Presence of Nested Factors. Technometrics 61:4, pages 533-544.
Read now
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.
Read now
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.
Read now
Stelios D. Georgiou, Stella Stylianou & Manohar Aggarwal. (2014) Efficient three-level screening designs using weighing matrices. Statistics 48:4, pages 815-833.
Read now
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.
Read now
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.
Read now
MaxD. Morris. (2000) Three Technomefrics Experimental Design Classics. Technometrics 42:1, pages 26-27.
Read now
RandallD. Tobias. (1996) Discussion. Technometrics 38:4, pages 326-327.
Read now
RuthK. Meyer & ChristopherJ. Nachtsheim. (1995) The Coordinate-Exchange Algorithm for Constructing Exact Optimal Experimental Designs. Technometrics 37:1, pages 60-69.
Read now
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.
Read now
R. Dennis Cook & ChristopherJ. Nachtsheim. (1989) Computer-Aided Blocking of Factorial and Response-Surface Designs. Technometrics 31:3, pages 339-346.
Read now
RaymondH. Myers, AndréI. Khuri & WalterH. Carter. (1989) Response Surface Methodology: 1966–l988. Technometrics 31:2, pages 137-157.
Read now
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.
Read now
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.
Read now
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.
Read now
LindaM. Haines. (1987) The Application of the Annealing Algorithm to the Construction of Exact Optimal Designs for Linear – Regression Models. Technometrics 29:4, pages 439-447.
Read now
Ronald D. Snee. (1985) Computer-Aided Design of Experiments—Some Practical Experiences. Journal of Quality Technology 17:4, pages 222-236.
Read now
WilliamJ. Welch. (1984) Computer-Aided Design of Experiments for Response Estimation. Technometrics 26:3, pages 217-224.
Read now
DavidM. Steinberg & WilliamG. Hunter. (1984) Experimental Design: Review and Comment. Technometrics 26:2, pages 71-97.
Read now
MarkE. Johnson & ChristopherJ. Nachtsheim. (1983) Some Guidelines for Constructing Exact D-Optimal Designs on Convex Design Spaces. Technometrics 25:3, pages 271-277.
Read now
WilliamJ. Welch. (1982) Branch-and-Bound Search for Experimental Designs Based on D Optimality and Other Criteria. Technometrics 24:1, pages 41-48.
Read now

Articles from other publishers (41)

Seong-Ju Byun, Seung-Jae Lee & Seung-Hwan Boo. (2024) Load Recovery Using D-Optimal Sensor Placement and Full-Field Expansion Method. Journal of the Society of Naval Architects of Korea 61:2, pages 115-124.
Crossref
Chengbo Zhou, Mingyi Xia & Zhenbang Xu. (2023) Design and optimization of a quadrupedal dynamic disturbance force measurement platform using strain gauges. Mechanical Systems and Signal Processing 188, pages 110032.
Crossref
Chengbo Zhou, Mingyi Xia & Zhenbang Xu. (2023) A six dimensional dynamic force/moment measurement platform based on matrix sensors designed for large equipment. Sensors and Actuators A: Physical 349, pages 114085.
Crossref
Jianfa Lai, Lin-Chen Weng, Xiaoling Peng & Kai-Tai Fang. (2022) Construction of symmetric orthogonal designs with deep Q-network and orthogonal complementary design. Computational Statistics & Data Analysis 171, pages 107448.
Crossref
K. Cosseron, D. Mellé, J.-F. Diebold, F. Hild & S. Roux. (2021) Optimized gauging for tire–rim loading identification. European Journal of Mechanics - A/Solids 87, pages 104192.
Crossref
V. M. M. Pureza, P. C. Oprime, A. F. B. Costa & D. Morales. (2020) Bi-objective mathematical model for optimal sequencing of two-level factorial designs. Brazilian Journal of Probability and Statistics 34:4.
Crossref
Radoslav Harman & Samuel Rosa. (2020) On greedy heuristics for computing D-efficient saturated subsets. Operations Research Letters 48:2, pages 122-129.
Crossref
Wenjie Tian, Mengwen Mou, Junhao Yang & Fuwen Yin. (2019) Kinematic calibration of a 5-DOF hybrid kinematic machine tool by considering the ill-posed identification problem using regularisation method. Robotics and Computer-Integrated Manufacturing 60, pages 49-62.
Crossref
Michelle V. Mancenido, Rong Pan, Douglas C. Montgomery & Christine M. Anderson-Cook. (2019) Comparing D-optimal designs with common mixture experimental designs for logistic regression. Chemometrics and Intelligent Laboratory Systems 187, pages 11-18.
Crossref
Deepak K. Gupta & Anoop K. Dhingra. (2018) Dynamic Programming Approach to Load Estimation Using Optimal Sensor Placement and Model Reduction. International Journal of Computational Methods 15:08, pages 1850071.
Crossref
Pedro Carlos Oprime, Vitória Maria Miranda Pureza & Samuel Conceição de Oliveira. (2017) Sequenciamento sistemático de experimentos fatoriais como alternativa à ordem aleatória. Gestão & Produção 24:1, pages 108-122.
Crossref
Belmiro P.M. Duarte, Weng Kee Wong & Nuno M.C. Oliveira. (2016) Model-based optimal design of experiments —Semidefinite and nonlinear programming formulations. Chemometrics and Intelligent Laboratory Systems 151, pages 153-163.
Crossref
Deepak K. Gupta & Anoop K. Dhingra. (2015) Load Reconstruction Technique Using -Optimal Design and Markov Parameters . Shock and Vibration 2015, pages 1-9.
Crossref
Belmiro P. M. Duarte & Weng Kee Wong. (2013) A semi-infinite programming based algorithm for finding minimax optimal designs for nonlinear models. Statistics and Computing 24:6, pages 1063-1080.
Crossref
A. C. Atkinson & V. V. Fedorov. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
P. Sirisom, S. Chaimongkol & J. J. Borkowski. (2014) Using genetic algorithms to generate D s -optimal response surface designs. Lobachevskii Journal of Mathematics 35:1, pages 27-37.
Crossref
Deepak K. Gupta & Anoop K. Dhingra. (2013) Input load identification from optimally placed strain gages using D-optimal design and model reduction. Mechanical Systems and Signal Processing 40:2, pages 556-570.
Crossref
Anoop K. Dhingra, Timothy G. Hunter & Deepak K. Gupta. (2013) Load Recovery in Components Based on Dynamic Strain Measurements. Journal of Vibration and Acoustics 135:5.
Crossref
Luc Pronzato & Andrej PázmanLuc Pronzato & Andrej Pázman. 2013. Design of Experiments in Nonlinear Models. Design of Experiments in Nonlinear Models 277 333 .
R. L. J. Coetzer & W. W. Focke. (2009) Optimal designs for estimating the parameters in weighted power‐mean‐mixture models. Journal of Chemometrics 24:1, pages 34-42.
Crossref
Dursun A. Bulutoglu & Kenneth J. Ryan. (2009) D-optimal and near D-optimal fractional factorial designs of resolution V. Journal of Statistical Planning and Inference 139:1, pages 16-22.
Crossref
Anthony Walmsley & Kalin Stoyanov. 2006. Practical Guide To Chemometrics, Second Edition. Practical Guide To Chemometrics, Second Edition 263 338 .
A. C. Atkinson & V. V. Fedorov. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Chen‐Tuo Liao & Feng‐Shun Chai. (2008) Partially replicated two‐level fractional factorial designs. Canadian Journal of Statistics 32:4, pages 421-438.
Crossref
Janis Auzins. (2004) Direct Optimization of Experimental Designs. Direct Optimization of Experimental Designs.
A.C. Atkinson & V.V. Fedorov. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Douglas M. Hawkins, Subhash C. Basak & Denise Mills. (2003) Assessing Model Fit by Cross-Validation. Journal of Chemical Information and Computer Sciences 43:2, pages 579-586.
Crossref
Young-Hwan Chu, In-Su Han & Chonghun Han. (2002) Improved evolutionary operation based on D-optimal design and response surface method. Korean Journal of Chemical Engineering 19:4, pages 535-544.
Crossref
K. Knödler, J. Poland, A. Mitterer & A. Zell. 2002. Optimization in Industry. Optimization in Industry 45 56 .
Ilgu Yun, H.M. Menkara, Yang Wang, I.H. Oguzman, J. Kolnik, K.F. Brennan, G.S. May, C.J. Summers & B.K. Wagner. (1997) Effect of doping on the reliability of GaAs multiple quantum well avalanche photodiodes. IEEE Transactions on Electron Devices 44:4, pages 535-544.
Crossref
Matthew Hudelson, Victor Klee & David Larman. (1996) Largest j-simplices in d-cubes: Some relatives of the hadamard maximum determinant problem. Linear Algebra and its Applications 241-243, pages 519-598.
Crossref
M. J. Wickham, D. R. Riley & C. J. Nachtsheim. (1995) Integrating Optimal Experimental Design into the Design of a Multi-Axis Load Transducer. Journal of Engineering for Industry 117:3, pages 400-405.
Crossref
Peter Gritzmann & Victor Klee. (1994) On the complexity of some basic problems in computational convexity: I. Containment problems. Discrete Mathematics 136:1-3, pages 129-174.
Crossref
G.P. Patil. 1994. Environmental Statistics. Environmental Statistics 9 69 .
Iwona Karcz-Duleba. 1994. Parallel Problem Solving from Nature — PPSN III. Parallel Problem Solving from Nature — PPSN III 608 616 .
J. Sölkner & J. W. James. (2010) Optimum design of cossbreeding experiments. Journal of Animal Breeding and Genetics 107:1-6, pages 61-67.
Crossref
Debra S. Knopman & Clifford I. Voss. (2010) Multiobjective sampling design for parameter estimation and model discrimination in groundwater solute transport. Water Resources Research 25:10, pages 2245-2258.
Crossref
T. G. Robertazzi & S. C. Schwartz. (1989) An Accelerated Sequential Algorithm for Producing D -Optimal Designs . SIAM Journal on Scientific and Statistical Computing 10:2, pages 341-358.
Crossref
Nam‐Ky Nguyen & Aloke Dey. (2008) COMPUTER AIDED‐CONSTRUCTION OF D ‐OPTIMAL 2 m FRACTIONAL DESIGNS OF RESOLUTION V . Australian Journal of Statistics 31:1, pages 111-117.
Crossref
I. N. Vuchkow, D. L. Damgaliew & A. N. Donev. 1984. Compstat 1984. Compstat 1984 503 508 .
I. N. Vuchkov. (2007) Sequentially Generated Designs. Biometrical Journal 24:8, pages 751-763.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.