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Communications in Statistics - Theory and Methods Volume 18, 1989 - Issue 4
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Original Articles

Bayesian design for estimating the turning point of a quadratic regression

Kathryn Chaloner Department of Applied Statistics, University of Minnesota, St. Paul, Minnesota, 55108
Pages 1385-1400 | Received 01 Aug 1987, Published online: 27 Jun 2007

Citations (22)

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Guilin Li, Szu Hui Ng & Matthias Hwai-yong Tan. (2020) Bayesian optimal designs for efficient estimation of the optimum point with generalised linear models. Quality Technology & Quantitative Management 17:1, pages 89-107.
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HaftomT. Abebe, Frans E. S. Tan, Gerard J. P. Van Breukelen, Jan Serroyen & Martijn P. F. Berger. (2014) On the Choice of a Prior for Bayesian D-Optimal Designs for the Logistic Regression Model with a Single Predictor. Communications in Statistics - Simulation and Computation 43:7, pages 1811-1824.
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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.
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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.
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Articles from other publishers (18)

Leonie Schürmeyer, Kirsten Schorning & Jörg Rahnenführer. (2023) Designs for the simultaneous inference of concentration–response curves. BMC Bioinformatics 24:1.
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Nathan Nakamura, Jason Seepaul, Joseph B. Kadane & B. Reeja-Jayan. (2017) Design for low-temperature microwave-assisted crystallization of ceramic thin films. Applied Stochastic Models in Business and Industry 33:3, pages 314-321.
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Maria Konstantinou & Holger Dette. (2017) Bayesian D -optimal designs for error-in-variables models . Applied Stochastic Models in Business and Industry 33:3, pages 269-281.
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Jay Bartroff. (2012) A new characterization of Elfving's method for high dimensional computation. Journal of Statistical Planning and Inference 142:4, pages 863-871.
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Rémi Coulom. 2012. Advances in Computer Games. Advances in Computer Games 146 157 .
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.
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Anindya Roy, Subhashis Ghosal & William F. Rosenberger. (2009) Convergence properties of sequential Bayesian D-optimal designs. Journal of Statistical Planning and Inference 139:2, pages 425-440.
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Luc Pronzato. (2009) Asymptotic Properties of Nonlinear Least Squares Estimates in Stochastic Regression Models Over a Finite Design Space. Application to Self-Tuning Optimisation. IFAC Proceedings Volumes 42:10, pages 156-161.
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Fetene B. Tekle, Frans E.S. Tan & Martijn P.F. Berger. (2008) Maximin -optimal designs for binary longitudinal responses. Computational Statistics & Data Analysis 52:12, pages 5253-5262.
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Han-Son Seo. (2008) Minimizing Weighted Mean of Inefficiency for Robust Designs. Communications for Statistical Applications and Methods 15:1, pages 95-104.
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Andrej Pázman & Luc Pronzato. (2006) On the irregular behavior of LS estimators for asymptotically singular designs. Statistics & Probability Letters 76:11, pages 1089-1096.
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Linda M. Haines, Inna Perevozskaya & William F. Rosenberger. (2003) Bayesian Optimal Designs for Phase I Clinical Trials. Biometrics 59:3, pages 591-600.
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Luc Pronzato & Éric Thierry. (2002) Sequential experimental design and response optimisation. Statistical Methods & Applications 11:3, pages 277-292.
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R. C. H. Cheng, V. B. Melas & A. N. Pepelyshev. 2001. Optimum Design 2000. Optimum Design 2000 15 24 .
Valery V. Fedorov & Werner G. Müller. (1997) Another view on optimal design for estimating the point of extremum in quadratic regression. Metrika 46:1, pages 147-157.
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Holger Dette. (1996) A note on Bayesian c- and D-optimal designs in nonlinear regression models. The Annals of Statistics 24:3.
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Anirban DasGupta. 1996. Design and Analysis of Experiments. Design and Analysis of Experiments 1099 1147 .
Linda M. Haines. (1995) A Geometric Approach to Optimal Design for One-Parameter Non-Linear Models. Journal of the Royal Statistical Society: Series B (Methodological) 57:3, pages 575-598.
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