220
Views
98
CrossRef citations to date
0
Altmetric
Original Articles

Experimental design in a class of models

Pages 379-398 | Published online: 27 Jun 2007

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

Read on this site (49)

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
Muhammad Zeeshan Babar & Marco Baglietto. (2021) Optimal feedback input design for dynamic nonlinear systems. International Journal of Control 94:8, pages 2264-2281.
Read now
Paul Kristoffersen & Byran J. Smucker. (2020) Model-robust design of mixture experiments. Quality Engineering 32:4, pages 663-675.
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
Holger Dette, Roman Guchenko & Viatcheslav B. Melas. (2017) Efficient Computation of Bayesian Optimal Discriminating Designs. Journal of Computational and Graphical Statistics 26:2, pages 424-433.
Read now
Byran J. Smucker & Nathan M. Drew. (2015) Approximate Model Spaces for Model-Robust Experiment Design. Technometrics 57:1, pages 54-63.
Read now
Christopher C. Drovandi, James M. McGree,Anthony N. Pettitt. (2014) A Sequential Monte Carlo Algorithm to Incorporate Model Uncertainty in Bayesian Sequential Design. Journal of Computational and Graphical Statistics 23:1, pages 3-24.
Read now
William Li, Christopher J. Nachtsheim, Ke Wang, Robert Reul & Mark Albrecht. (2013) Conjoint Analysis and Discrete Choice Experiments for Quality Improvement. Journal of Quality Technology 45:1, pages 74-99.
Read now
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.
Read now
AnthonyC. Atkinson. (2012) Optimum Experimental Designs for Choosing Between Competitive and Non Competitive Models of Enzyme Inhibition. Communications in Statistics - Theory and Methods 41:13-14, pages 2283-2296.
Read now
D.C. Woods & S.M. Lewis. (2011) Continuous Optimal Designs for Generalized Linear Models under Model Uncertainty. Journal of Statistical Theory and Practice 5:1, pages 137-145.
Read now
Vincent Agboto, William Li & Christopher Nachtsheim. (2011) A Comparison of Three Approaches for Constructing Robust Experimental Designs. Journal of Statistical Theory and Practice 5:1, pages 1-11.
Read now
Bradley Jones & Christopher J. Nachtsheim. (2011) Efficient Designs With Minimal Aliasing. Technometrics 53:1, pages 62-71.
Read now
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.
Read now
Pi-Wen Tsai & Steven G. Gilmour. (2010) A General Criterion for Factorial Designs Under Model Uncertainty. Technometrics 52:2, pages 231-242.
Read now
D. C. Woods. (2010) Robust designs for binary data: applications of simulated annealing. Journal of Statistical Computation and Simulation 80:1, pages 29-41.
Read now
ViatcheslavB. Melas & YuryM. Staroselskiy. (2008) D-Efficient Bayesian Designs for a Class of Nonlinear Models. Journal of Statistical Theory and Practice 2:4, pages 569-587.
Read now
D. C Woods, S. M Lewis, J. A Eccleston & K. G Russell. (2006) Designs for Generalized Linear Models With Several Variables and Model Uncertainty. Technometrics 48:2, pages 284-292.
Read now
Holger Dette & Robert Kwiecien. (2005) Finite sample performance of sequential designs for model identification. Journal of Statistical Computation and Simulation 75:6, pages 477-495.
Read now
Francis G Pascual & Grace Montepiedra. (2003) Model-Robust Test Plans With Applications in Accelerated Life Testing. Technometrics 45:1, pages 47-57.
Read now
E. Rafajłowicz & R. Schwabe. (2003) Experimental Design for (Semi-)Local Regression. Communications in Statistics - Theory and Methods 32:5, pages 1035-1055.
Read now
Francis Pascual & Grace Montepiedra. (2002) On minimax designs when there are two candidate models. Journal of Statistical Computation and Simulation 72:11, pages 841-862.
Read now
William Li & ChristopherJ. Nachtsheim. (2000) Model-Robust Factorial Designs. Technometrics 42:4, pages 345-352.
Read now
Grace Montepiedra & Arthur B. Yeh. (1998) A two-stage strategy for the construction of d-optimal experimental designs. Communications in Statistics - Simulation and Computation 27:2, pages 377-401.
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
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
Holger Dette. (1995) Experimental Design. Statistics 26:2, pages 153-161.
Read now
R. Dennis Cook & Weng Kee Wong. (1994) On the Equivalence of Constrained and Compound Optimal Designs. Journal of the American Statistical Association 89:426, pages 687-692.
Read now
Friedrich Pukelsheim & JamesL. Rosenberger. (1993) Experimental Designs for Model Discrimination. Journal of the American Statistical Association 88:422, pages 642-649.
Read now
Probal Chaudhuri & PerA. Mykland. (1993) Nonlinear Experiments: Optimal Design and Inference Based on Likelihood. Journal of the American Statistical Association 88:422, pages 538-546.
Read now
Ian Ford, D.M. Titterington & ChristosP. Kitsos. (1989) Recent Advances in Nonlinear Experimental Design. Technometrics 31:1, pages 49-60x.
Read now
Kathryn Chaloner. (1989) Bayesian design for estimating the turning point of a quadratic regression. Communications in Statistics - Theory and Methods 18:4, pages 1385-1400.
Read now
Carl M.-S. Lee. (1987) Constrained optimal designs for regressiom models. Communications in Statistics - Theory and Methods 16:3, pages 765-783.
Read now
DavidM. Steinberg & WilliamG. Hunter. (1984) Experimental Design: Review and Comment. Technometrics 26:2, pages 71-97.
Read now
R. Dennis Cook & ChristopherJ. Nachtsheim. (1982) Model Robust, Linear-Optimal Designs. Technometrics 24:1, pages 49-54.
Read now
D.M. Titterington. (1980) Aspects of Optimal Design in Dynamic Systems. Technometrics 22:3, pages 287-299.
Read now
Andrej Pázman. (1980) Some features of the optimal design theory – a survey. Series Statistics 11:3, pages 415-446.
Read now
Peter D. H. Hill. (1978) A Review of Experimental Design Procedures for Regression Model Discrimination. Technometrics 20:1, pages 15-21.
Read now
E. Läuter. (1976) Optimal multipurpose designs for regression models. Mathematische Operationsforschung und Statistik 7:1, pages 51-68.
Read now
. (1974)  . Mathematische Operationsforschung und Statistik 5:7-8, pages 625-636.
Read now

Articles from other publishers (49)

Samuel I Watson, Alan Girling & Karla Hemming. (2023) Optimal study designs for cluster randomised trials: An overview of methods and results. Statistical Methods in Medical Research 32:11, pages 2135-2157.
Crossref
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
Ritwik Bhattacharya. (2020) Implementation of compound optimal design strategy in censored life-testing experiment. TEST 29:4, pages 1029-1050.
Crossref
K Alhorn, K Schorning & H Dette. (2019) Optimal designs for frequentist model averaging. Biometrika 106:3, pages 665-682.
Crossref
Benjamin Haaland, Wenjia Wang & Vaibhav Maheshwari. (2018) A Framework for Controlling Sources of Inaccuracy in Gaussian Process Emulation of Deterministic Computer Experiments. SIAM/ASA Journal on Uncertainty Quantification 6:2, pages 497-521.
Crossref
Holger Dette & Kirsten Schorning. (2016) Optimal designs for comparing curves. The Annals of Statistics 44:3.
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
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
Subir Ghosh & Analisa Flores. (2013) Common variance fractional factorial designs and their optimality to identify a class of models. Journal of Statistical Planning and Inference 143:10, pages 1807-1815.
Crossref
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.
Crossref
Valerii Fedorov. 2001. Encyclopedia of Environmetrics. Encyclopedia of Environmetrics.
Lu Lu, Christine M. Anderson‐Cook & Timothy J. Robinson. (2012) A case study to demonstrate a Pareto Frontier for selecting a best response surface design while simultaneously optimizing multiple criteria. Applied Stochastic Models in Business and Industry 28:3, pages 206-221.
Crossref
Subir Ghosh. 2012. Design and Analysis of Experiments. Design and Analysis of Experiments 283 298 .
Björn Bornkamp, Frank Bretz, Holger Dette & José Pinheiro. (2011) Response-adaptive dose-finding under model uncertainty. The Annals of Applied Statistics 5:2B.
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
Valerii Fedorov. (2010) Optimal experimental design. WIREs Computational Statistics 2:5, pages 581-589.
Crossref
Holger Dette & Viatcheslav B. Melas. (2010) A note on all-bias designs with applications in spline regression models. Journal of Statistical Planning and Inference 140:7, pages 2037-2045.
Crossref
Frank Bretz, Holger Dette & Jose C. Pinheiro. (2010) Practical considerations for optimal designs in clinical dose finding studies. Statistics in Medicine 29:7-8, pages 731-742.
Crossref
Vincent Agboto, William Li & Christopher Nachtsheim. (2010) Screening designs for model discrimination. Journal of Statistical Planning and Inference 140:3, pages 766-780.
Crossref
Holger Dette & Matthias Trampisch. (2010) Rejoinder: A general approach to -optimal designs for weighted univariate polynomial regression models. Journal of the Korean Statistical Society 39:1, pages 39-42.
Crossref
Holger Dette & Stefanie Titoff. (2009) Optimal discrimination designs. The Annals of Statistics 37:4.
Crossref
Holger Dette, Andrey Pepelyshev & Weng Kee Wong. (2009) Optimal designs for dose-finding experiments in toxicity studies. Bernoulli 15:1.
Crossref
Adeniyi J. Adewale & Douglas P. Wiens. (2009) Robust designs for misspecified logistic models. Journal of Statistical Planning and Inference 139:1, pages 3-15.
Crossref
Jesús López-Fidalgo, Chiara Tommasi & Paula Camelia Trandafir. (2008) Optimal designs for discriminating between some extensions of the Michaelis–Menten model. Journal of Statistical Planning and Inference 138:12, pages 3797-3804.
Crossref
T.H. Waterhouse, D.C. Woods, J.A. Eccleston & S.M. Lewis. (2008) Design selection criteria for discrimination/estimation for nested models and a binomial response. Journal of Statistical Planning and Inference 138:1, pages 132-144.
Crossref
Lina Teper, Dov Ingman & Joseph Suzdalnitsky. (2007) Approach to optimal restoration of response surface. Measurement Science and Technology 18:9, pages 2979-2984.
Crossref
Stefanie Biedermann, Holger Dette & Andrey Pepelyshev. (2009) Some robust design strategies for percentile estimation in binary response models. Canadian Journal of Statistics 34:4, pages 603-622.
Crossref
William Li. 2006. Screening. Screening 207 234 .
Grace Montepiedra & Arthur B. Yeh. (2004) Two-stage designs for identification and estimation of polynomial models. Computational Statistics & Data Analysis 46:3, pages 531-546.
Crossref
Xiaojie Zhou, Lawrence Joseph, David B. Wolfson & Patrick Bélisle. (2003) A Bayesian A ‐Optimal and Model Robust Design Criterion . Biometrics 59:4, pages 1082-1088.
Crossref
V. Fedorov. 2001. Encyclopedia of Environmetrics. Encyclopedia of Environmetrics.
Anthony C. Atkinson & V. V. Fedorov. 2001. Optimum Design 2000. Optimum Design 2000 3 14 .
Rainer Schwabe. (2000) Optimal designs for a one-way layout with covariates. Journal of Statistical Planning and Inference 85:1-2, pages 49-59.
Crossref
G. Montepiedra & A. B. Yeh. 1998. MODA 5 — Advances in Model-Oriented Data Analysis and Experimental Design. MODA 5 — Advances in Model-Oriented Data Analysis and Experimental Design 195 203 .
Lru Hancong, Zhu Weiyong & Du an Xiaodong. (1997) Joint model and criterion optimal experiment design. Applied Mathematics-A Journal of Chinese Universities 12:1, pages 39-46.
Crossref
Holger Dette. (1997) A note on the uniform distribution on the arcsin points. Metrika 46:1, pages 71-82.
Crossref
Paul H. Garthwaite & James M. Dickey. (1996) Quantifying and using expert opinion for variable-selection problems in regression. Chemometrics and Intelligent Laboratory Systems 35:1, pages 1-26.
Crossref
Holger Dette & H.-M. Neugebauer. (1996) Bayesian optimal one point designs for one parameter nonlinear models. Journal of Statistical Planning and Inference 52:1, pages 17-31.
Crossref
Y-J. Chang & W.I. Notz. 1996. Design and Analysis of Experiments. Design and Analysis of Experiments 1055 1098 .
Rainer Schwabe. 1995. MODA4 — Advances in Model-Oriented Data Analysis. MODA4 — Advances in Model-Oriented Data Analysis 77 85 .
Holger Dette. (1994) Robust designs for multivariate polynomial regression on the d-cube. Journal of Statistical Planning and Inference 38:1, pages 105-124.
Crossref
Susanne Gutmair. (1993) Polars and subgradients of mixtures of information functions. Journal of Statistical Planning and Inference 35:1, pages 93-112.
Crossref
Kathryn Chaloner & Kinley Larntz. (1992) Bayesian design for accelerated life testing. Journal of Statistical Planning and Inference 33:2, pages 245-259.
Crossref
Holger Dette. (1992) Experimental designs for a class of weighted polynomial regression models. Computational Statistics & Data Analysis 14:3, pages 359-373.
Crossref
Young-Il Kim & Christopher J. Nachtsheim. (1991) Transformation robust experimental design with application to some problems in chemistry. Chemometrics and Intelligent Laboratory Systems 10:1-2, pages 261-270.
Crossref
Kathryn Chaloner & Kinley Larntz. (1989) Optimal Bayesian design applied to logistic regression experiments. Journal of Statistical Planning and Inference 21:2, pages 191-208.
Crossref
Carl M.-S. Lee. (1988) Constrained optimal designs. Journal of Statistical Planning and Inference 18:3, pages 377-389.
Crossref
Yong B. Lim, W. J. studden & H. P. Wynn. 1988. Statistical Decision Theory and Related Topics IV. Statistical Decision Theory and Related Topics IV 351 361 .
A. C. Atkinson & D. R. Cox. (1974) Planning Experiments for Discriminating between Models. Journal of the Royal Statistical Society Series B: Statistical Methodology 36:3, pages 321-334.
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.