94
Views
99
CrossRef citations to date
0
Altmetric
Theory and Methods

On the Equivalence of Constrained and Compound Optimal Designs

&
Pages 687-692 | Received 01 Apr 1992, Published online: 27 Feb 2012

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

Read on this site (25)

Siddhartha Chakraborty, Ritwik Bhattacharya & Biswabrata Pradhan. (2024) On the application of compound optimal design strategy in progressively type-II censored life-testing experiments. Quality Engineering 0:0, pages 1-9.
Read now
Junpeng Li, Guanghui Li & Chongqi Zhang. (2024) Weighted R-efficiency optimal design for experiments with mixture. Communications in Statistics - Theory and Methods 53:4, pages 1241-1256.
Read now
Weng Kee Wong & Julie Zhou. (2023) Using CVX to Construct Optimal Designs for Biomedical Studies with Multiple Objectives. Journal of Computational and Graphical Statistics 32:2, pages 744-753.
Read now
Siddhartha Chakraborty, Ritwik Bhattacharya & Biswabrata Pradhan. (2023) Cumulative entropy of progressively type-II censored order statistics and associated optimal life testing-plans. Statistics 57:1, pages 161-174.
Read now
Viatcheslav B. Melas, Roman Guchenko & Vladislav Strashko. (2022) Standardized maximin criterion for discrimination and parameter estimation of nested models. Communications in Statistics - Simulation and Computation 51:8, pages 4314-4325.
Read now
Ling Leng & Wei Zhu. (2020) Compound Regression and Constrained Regression: Nonparametric Regression Frameworks for EIV Models. The American Statistician 74:3, pages 226-232.
Read now
Juan Ding & Wenjun Xiong. (2015) Robust group testing for multiple traits with misclassification. Journal of Applied Statistics 42:10, pages 2115-2125.
Read now
Bradley Jones, Rachel T. Silvestrini, Douglas C. Montgomery & David M. Steinberg. (2015) Bridge Designs for Modeling Systems With Low Noise. Technometrics 57:2, pages 155-163.
Read now
Linglong Kong & Douglas P. Wiens. (2015) Model-Robust Designs for Quantile Regression. Journal of the American Statistical Association 110:509, pages 233-245.
Read now
Oleksandr Sverdlov, Yevgen Ryeznik & Weng-Kee Wong. (2014) Efficient and Ethical Response-Adaptive Randomization Designs for Multi-Arm Clinical Trials With Weibull Time-to-Event Outcomes. Journal of Biopharmaceutical Statistics 24:4, pages 732-754.
Read now
Oleksandr Sverdlov & William F. Rosenberger. (2013) On Recent Advances in Optimal Allocation Designs in Clinical Trials. Journal of Statistical Theory and Practice 7:4, pages 753-773.
Read now
JamesM. McGree & JohnA. Eccleston. (2012) Robust Designs for Poisson Regression Models. Technometrics 54:1, pages 64-72.
Read now
T. H. Waterhouse, J. A. Eccleston & S. B. Duffull. (2009) Optimal Design Criteria for Discrimination and Estimation in Nonlinear Models. Journal of Biopharmaceutical Statistics 19:2, pages 386-402.
Read now
InYoung Baek, Wei Zhu, Xiangfeng Wu & Weng Kee Wong. (2006) Bayesian Optimal Designs for a Quantal Dose-Response Study with Potentially Missing Observations. Journal of Biopharmaceutical Statistics 16:5, pages 679-693.
Read now
Wei Zhu & Weng Kee Wong*. (2000) MULTIPLE-OBJECTIVE DESIGNS IN A DOSE-RESPONSE EXPERIMENT. Journal of Biopharmaceutical Statistics 10:1, pages 1-14.
Read now
Wei Zhu & Weng Kee Wong. (2000) Optimum treatment allocation for dual-objective clinical trials with binary outcomes. Communications in Statistics - Theory and Methods 29:5-6, pages 957-974.
Read now
Yu-Chung Huang & Weng-Kee Wong. (1998) Multiple-objective optimal designs. Journal of Biopharmaceutical Statistics 8:4, pages 635-643.
Read now
Wei Zhu, Hongshik Ahn & Weng Kee Wong. (1998) Multiple-objective optimal designs for the logit model. Communications in Statistics - Theory and Methods 27:6, pages 1581-1592.
Read now
Dale Song & Weng Kee Wong. (1998) Optimal two-point designs for the michaelis-menten model with heteroscedastic errors. Communications in Statistics - Theory and Methods 27:6, pages 1503-1516.
Read now
AnthonyC. Atkinson & Barbara Bogacka. (1997) Compound D- and D -Optimum Designs for Determining the Order of a Chemical Reaction. Technometrics 39:4, pages 347-356.
Read now
Merlise Clyde & Kathryn Chaloner. (1996) The Equivalence of Constrained and Weighted Designs in Multiple Objective Design Problems. Journal of the American Statistical Association 91:435, pages 1236-1244.
Read now
Blaza Toman. (1996) Bayesian Experimental Design for Multiple Hypothesis Testing. Journal of the American Statistical Association 91:433, pages 185-190.
Read now
Weng. Kee Wong. (1995) A graphical approach for the construction of constrained a and l-optimal designs using efficiency plots. Journal of Statistical Computation and Simulation 53:3-4, pages 143-152.
Read now
A.C. Atkinson & R.D. Cook. (1995) D-Optimum Designs for Heteroscedastic Linear Models. Journal of the American Statistical Association 90:429, pages 204-212.
Read now
Dennis Cook & Valery Fedorov. (1995) Invited Discussion Paper Constrained Optimization of Experimental Design. Statistics 26:2, pages 129-148.
Read now

Articles from other publishers (74)

Fatemeh Hassantabar Darzi, Firoozeh Haghighi & Samaneh Eftekhari Mahabadi. (2024) Implementation of the sequential optimal design strategy in Type-II progressive censoring with the GLM-based mechanism. Journal of the Korean Statistical Society.
Crossref
Jiaheng Qiu & Weng Kee Wong. (2023) Nature-inspired Metaheuristics for finding Optimal Designs for the Continuation-Ratio Models. The New England Journal of Statistics in Data Science, pages 15-29.
Crossref
Wanida Limmun, Boonorm Chomtee & John J. Borkowski. (2023) Generating Robust Optimal Mixture Designs Due to Missing Observation Using a Multi-Objective Genetic Algorithm. Mathematics 11:16, pages 3558.
Crossref
Harrison H. Li & Art B. Owen. (2023) A general characterization of optimal tie-breaker designs. The Annals of Statistics 51:3.
Crossref
Mirjam Moerbeek. (2023) Optimal allocation to treatment sequences in individually randomized stepped-wedge designs with attrition. Clinical Trials 20:3, pages 242-251.
Crossref
Carlos de la Calle-Arroyo, Mariano Amo-Salas, Jesús López-Fidalgo, Licesio J. Rodríguez-Aragón & Weng Kee Wong. (2023) A methodology to -augment experimental designs . Chemometrics and Intelligent Laboratory Systems 237, pages 104822.
Crossref
Mirjam Moerbeek. (2023) Optimal placebo-treatment comparisons in trials with an incomplete within-subject design and heterogeneous costs and variances. PLOS ONE 18:4, pages e0283382.
Crossref
Sergio Pozuelo-Campos, Víctor Casero-Alonso & Mariano Amo-Salas. (2023) Optimal designs for detecting and characterizing hormesis in toxicological tests. Chemometrics and Intelligent Laboratory Systems 235, pages 104753.
Crossref
S. G. J. Senarathne, Werner G. Müller & James M. McGree. (2023) Bayesian design for minimizing prediction uncertainty in bivariate spatial responses with applications to air quality monitoring. Biometrical Journal 65:4.
Crossref
Carlos de la Calle-Arroyo, Miguel A. González-Fernández & Licesio J. Rodríguez-Aragón. (2023) Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms. Mathematics 11:3, pages 693.
Crossref
Jesús López-FidalgoJesús López-Fidalgo. 2023. Optimal Experimental Design. Optimal Experimental Design 1 8 .
Narayanaswamy Balakrishnan & Ritwik Bhattacharya. (2021) Revisiting Best Linear Unbiased Estimation of Location-Scale Parameters Based on Optimally Selected Order Statistics Using Compound Design. Methodology and Computing in Applied Probability 24:3, pages 1891-1915.
Crossref
Sergio Pozuelo-Campos, Víctor Casero-Alonso & Mariano Amo-Salas. (2022) Strategies for robust designs in toxicological tests. Chemometrics and Intelligent Laboratory Systems 225, pages 104560.
Crossref
Anirudh Tomer, Daan Nieboer, Monique J. Roobol, Ewout W. Steyerberg & Dimitris Rizopoulos. (2022) Shared decision making of burdensome surveillance tests using personalized schedules and their burden and benefit. Statistics in Medicine 41:12, pages 2115-2131.
Crossref
Xiaodong Zhou, Yunjuan Wang & Rongxian Yue. (2022) Robust Optimum Life-Testing Plans under Progressive Type-I Interval Censoring Schemes with Cost Constraint. Symmetry 14:5, pages 1047.
Crossref
Michael D. Collins, Elvis Han Cui, Seung Won Hyun & Weng Kee Wong. (2022) A model-based approach to designing developmental toxicology experiments using sea urchin embryos. Archives of Toxicology 96:3, pages 919-932.
Crossref
Andrea Morciano & Mirjam Moerbeek. (2021) Optimal allocation to treatments in a sequential multiple assignment randomized trial. Statistical Methods in Medical Research 30:11, pages 2471-2484.
Crossref
Anson R. Park, Michelle V. Mancenido & Douglas C. Montgomery. (2020) A compound optimality criterion for D‐efficient and separation‐robust designs for the logistic regression model. Quality and Reliability Engineering International 37:7, pages 3066-3083.
Crossref
Timothy T. Ushijima, William W. G. Yeh & Weng Kee Wong. (2021) Constructing robust and efficient experimental designs in groundwater modeling using a Galerkin method, proper orthogonal decomposition, and metaheuristic algorithms. PLOS ONE 16:8, pages e0254620.
Crossref
Rosamarie Frieri & Maroussa Zagoraiou. (2021) Optimal and ethical designs for hypothesis testing in multi‐arm exponential trials. Statistics in Medicine 40:11, pages 2578-2603.
Crossref
Ritwik Bhattacharya. (2020) Implementation of compound optimal design strategy in censored life-testing experiment. TEST 29:4, pages 1029-1050.
Crossref
A. James O’Malley & Seho Park. (2020) A novel cluster sampling design that couples multiple surveys to support multiple inferential objectives. Health Services and Outcomes Research Methodology 20:2-3, pages 85-110.
Crossref
Jérémy Seurat, Thu Thuy Nguyen & France Mentré. (2019) Robust designs accounting for model uncertainty in longitudinal studies with binary outcomes. Statistical Methods in Medical Research 29:3, pages 934-952.
Crossref
Mirjam Moerbeek. (2019) Optimal designs for group randomized trials and group administered treatments with outcomes at the subject and group level. Statistical Methods in Medical Research 29:3, pages 797-810.
Crossref
Oleksandr Sverdlov, Yevgen Ryeznik & Weng Kee Wong. (2019) On Optimal Designs for Clinical Trials: An Updated Review. Journal of Statistical Theory and Practice 14:1.
Crossref
Seung Won Hyun, Weng Kee Wong & Yarong Yang. (2019) Optimal designs for asymmetric sigmoidal response curves in bioassays and immunoassays. Statistical Methods in Medical Research 29:2, pages 421-436.
Crossref
Qianshun Cheng & Min Yang. (2019) On multiple-objective optimal designs. Journal of Statistical Planning and Inference 200, pages 87-101.
Crossref
Anirudh Tomer, Daan Nieboer, Monique J. Roobol, Ewout W. Steyerberg & Dimitris Rizopoulos. (2019) Personalized Schedules for Surveillance of Low-Risk Prostate Cancer Patients. Biometrics 75:1, pages 153-162.
Crossref
Laura Deldossi, Silvia Angela Osmetti & Chiara Tommasi. (2018) Optimal design to discriminate between rival copula models for a bivariate binary response. TEST 28:1, pages 147-165.
Crossref
Zachary del Rosario, Minyong Lee & Gianluca Iaccarino. (2019) Lurking Variable Detection via Dimensional Analysis. SIAM/ASA Journal on Uncertainty Quantification 7:1, pages 232-259.
Crossref
Jeff F. Zhang, Nikos E. Papanikolaou, Theodore Kypraios & Christopher C. Drovandi. (2018) Optimal experimental design for predator–prey functional response experiments. Journal of The Royal Society Interface 15:144, pages 20180186.
Crossref
Radoslav Harman & Maryna Prus. (2018) Computing optimal experimental designs with respect to a compound Bayes risk criterion. Statistics & Probability Letters 137, pages 135-141.
Crossref
Chrystel Feller, Kirsten Schorning, Holger Dette, Georgina Bermann & Björn Bornkamp. (2017) Optimal designs for dose response curves with common parameters. The Annals of Statistics 45:5.
Crossref
Asya Metelkina & Luc Pronzato. (2017) Information-regret compromise in covariate-adaptive treatment allocation. The Annals of Statistics 45:5.
Crossref
Radoslav Harman & Eva Benková. (2016) Barycentric algorithm for computing D-optimal size- and cost-constrained designs of experiments. Metrika 80:2, pages 201-225.
Crossref
Maryna Prus & Rainer Schwabe. (2016) Optimal Designs for the Prediction of Individual Parameters in Hierarchical Models. Journal of the Royal Statistical Society Series B: Statistical Methodology 78:1, pages 175-191.
Crossref
Dimitris Rizopoulos, Jeremy M. G. Taylor, Joost Van Rosmalen, Ewout W. Steyerberg & Johanna J. M. Takkenberg. (2016) Personalized screening intervals for biomarkers using joint models for longitudinal and survival data. Biostatistics 17:1, pages 149-164.
Crossref
Qianshun Cheng, Dibyen Majumdar & Min Yang. 2016. mODa 11 - Advances in Model-Oriented Design and Analysis. mODa 11 - Advances in Model-Oriented Design and Analysis 63 70 .
Maryna Prus & Rainer Schwabe. 2016. mODa 11 - Advances in Model-Oriented Design and Analysis. mODa 11 - Advances in Model-Oriented Design and Analysis 209 216 .
Víctor Casero-Alonso & Jesús López-Fidalgo. (2015) Optimal designs subject to cost constraints in simultaneous equations models. TEST 24:4, pages 701-713.
Crossref
Mirjam Moerbeek & Weng‐Kee Wong. (2015) Optimal treatment allocation for placebo‐treatment comparisons in trials with discrete‐time survival endpoints. Statistics in Medicine 34:27, pages 3490-3502.
Crossref
Ray-Bing Chen, Shin-Perng Chang, Weichung Wang, Heng-Chih Tung & Weng Kee Wong. (2014) Minimax optimal designs via particle swarm optimization methods. Statistics and Computing 25:5, pages 975-988.
Crossref
Yongtao Cao, Byran J. Smucker & Timothy J. Robinson. (2015) On using the hypervolume indicator to compare Pareto fronts: Applications to multi-criteria optimal experimental design. Journal of Statistical Planning and Inference 160, pages 60-74.
Crossref
M. Stehlík, J. López-Fidalgo, V. Casero-Alonso & Elena Bukina. (2014) Robust integral compounding criteria for trend and correlation structures. Stochastic Environmental Research and Risk Assessment 29:2, pages 379-395.
Crossref
Seung Won Hyun & Weng Kee Wong. (2015) Multiple-Objective Optimal Designs for Studying the Dose Response Function and Interesting Dose Levels. The International Journal of Biostatistics 11:2.
Crossref
Shih-Hao Huang & Mong-Na Lo Huang. (2014) Robust designs for probability estimation in binary response experiments. Journal of Statistical Planning and Inference 154, pages 116-132.
Crossref
YoungIl Kim & Dae-Heung Jang. (2014) Some Criteria for Optimal Experimental Design at Multiple Extrapolation Points. Korean Journal of Applied Statistics 27:5, pages 693-703.
Crossref
César Flórez–Restrepo & Víctor Ignacio López–Ríos. (2013) Elección de la constante de ponderación en diseños óptimos compuestos: Diseños cD-óptimos. Ingeniería y Ciencia 9:18, pages 107-130.
Crossref
Weng Kee Wong. (2013) Web-based tools for finding optimal designs in biomedical studies. Computer Methods and Programs in Biomedicine 111:3, pages 701-710.
Crossref
Atanu Biswas & Jesús López–Fidalgo. (2013) Compound designs for dose‐finding in the presence of nondesignable covariates. Pharmaceutical Statistics 12:2, pages 92-101.
Crossref
Chongqi Zhang & Weng Kee Wong. (2013) Optimal designs for mixture models with amount constraints. Statistics & Probability Letters 83:1, pages 196-202.
Crossref
Luc Pronzato & Andrej PázmanLuc Pronzato & Andrej Pázman. 2013. Design of Experiments in Nonlinear Models. Design of Experiments in Nonlinear Models 105 165 .
Alessandro Baldi Antognini & Maroussa Zagoraiou. (2012) Multi-objective optimal designs in comparative clinical trials with covariates: The reinforced doubly adaptive biased coin design. The Annals of Statistics 40:3.
Crossref
Chongqi Zhang, Wengkee Wong & Heng Peng. (2012) DUAL‐OBJECTIVE OPTIMAL MIXTURE DESIGNS. Australian & New Zealand Journal of Statistics 54:2, pages 211-222.
Crossref
André L. Alberton, Marcio Schwaab, Marcos Wandir Nery Lobão & José Carlos Pinto. (2012) Design of experiments for discrimination of rival models based on the expected number of eliminated models. Chemical Engineering Science 75, pages 120-131.
Crossref
Björn Bornkamp, Frank Bretz, Holger Dette & José Pinheiro. (2011) Response-adaptive dose-finding under model uncertainty. The Annals of Applied Statistics 5:2B.
Crossref
R.L.J. Coetzer, L.M. Haines & L.P. Fatti. (2011) Central composite designs for estimating the optimum conditions for a second-order model. Journal of Statistical Planning and Inference 141:5, pages 1764-1773.
Crossref
André L. Alberton, Marcio Schwaab, Marcos Wandir Nery Lobão & José Carlos Pinto. (2011) Experimental design for the joint model discrimination and precise parameter estimation through information measures. Chemical Engineering Science 66:9, pages 1940-1952.
Crossref
S. Krishna Padmanabhan & Vladimir Dragalin. (2010) Adaptive Dc ‐optimal designs for dose finding based on a continuous efficacy endpoint . Biometrical Journal 52:6, pages 836-852.
Crossref
J. M. McGree & J. A. Eccleston. (2009) Investigating design for survival models. Metrika 72:3, pages 295-311.
Crossref
Holger Dette & Stefanie Titoff. (2009) Optimal discrimination designs. The Annals of Statistics 37:4.
Crossref
Stefanie Biedermann, Holger Dette & Philipp Hoffmann. (2007) Constrained optimal discrimination designs for Fourier regression models. Annals of the Institute of Statistical Mathematics 61:1, pages 143-157.
Crossref
Susan M. Parker & Chris Gennings. (2008) Penalized locally optimal experimental designs for nonlinear models. Journal of Agricultural, Biological, and Environmental Statistics 13:3, pages 334-354.
Crossref
Kayode Ogungbenro & Leon Aarons. (2008) Optimisation of sampling windows design for population pharmacokinetic experiments. Journal of Pharmacokinetics and Pharmacodynamics 35:4, pages 465-482.
Crossref
Zhiqiang Zheng & Balaji Padmanabhan. (2006) Selectively Acquiring Customer Information: A New Data Acquisition Problem and an Active Learning-Based Solution. Management Science 52:5, pages 697-712.
Crossref
David Huang & Weng Kee Wong. (2005) Robustness Properties of Multiple-Objective Optimal Designs for a Bi-Exponential Model. Drug Information Journal 39:3, pages 223-232.
Crossref
J. LÓPEZ-FIDALGO & WENG KEE WONG. (2002) Design Issues for the Michaelis–Menten Model. Journal of Theoretical Biology 215:1, pages 1-11.
Crossref
Wei Zhu & Weng Kee Wong. (2001) Bayesian optimal designs for estimating a set of symmetrical quantiles. Statistics in Medicine 20:1, pages 123-137.
Crossref
Qi Zeng, Wei Zhu & Weng Kee Wong. (2000) Dual-Objective Bayesian Optimal Designs for a Dose-Ranging Study. Drug Information Journal 34:2, pages 421-428.
Crossref
Wei Zhu & Weng Kee Wong. (2000) Optimal treatment allocation in comparative biomedical studies. Statistics in Medicine 19:5, pages 639-648.
Crossref
W. Zhu & W. K. Wong. 1998. MODA 5 — Advances in Model-Oriented Data Analysis and Experimental Design. MODA 5 — Advances in Model-Oriented Data Analysis and Experimental Design 93 101 .
. (1996) Discussion of the Papers by Atkinson, and Bates et al. . Journal of the Royal Statistical Society Series B: Statistical Methodology 58:1, pages 95-111.
Crossref
A.C. Atkinson & L.M. Haines. 1996. Design and Analysis of Experiments. Design and Analysis of Experiments 437 475 .
A.C. Atkinson. (1995) Beyond response surfaces: recent developments in optimum experimental design. Chemometrics and Intelligent Laboratory Systems 28:1, pages 35-47.
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:

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:

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.