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Technometrics Volume 22, 1980 - Issue 2
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Original Articles

D-Optimal Designs for Partially Nonlinear Regression Models

Peter D. H. Hill Mathematics Department, University of Waikato, Hamilton, New Zealand
Pages 275-276 | Published online: 23 Mar 2012

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ChristosP. Kitsos & KonstantinosG. Kolovos. (2013) A COMPILATION OF THE D-OPTIMAL DESIGNS IN CHEMICAL KINETICS. Chemical Engineering Communications 200:2, pages 185-204.
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Sergei Leonov & Sam Miller. (2009) An Adaptive Optimal Design for the E max Model and Its Application in Clinical Trials. Journal of Biopharmaceutical Statistics 19:2, pages 360-385.
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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.
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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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RaymondH. Myers, AndréI. Khuri & WalterH. Carter. (1989) Response Surface Methodology: 1966–l988. Technometrics 31:2, pages 137-157.
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Ian Ford, D.M. Titterington & ChristosP. Kitsos. (1989) Recent Advances in Nonlinear Experimental Design. Technometrics 31:1, pages 49-60x.
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DavidC. Hamilton & DonaldG. Watts. (1985) A Quadratic Design Criterion for Precise Estimation in Nonlinear Regression Models. Technometrics 27:3, pages 241-250.
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DavidM. Steinberg & WilliamG. Hunter. (1984) Experimental Design: Review and Comment. Technometrics 26:2, pages 71-97.
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A.I. Khuri. (1984) A Note on D-Optimal Designs for Partially Nonlinear Regression Models. Technometrics 26:1, pages 59-61.
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Douglas Bates. (1983) The Derivative of |X′X| and Its Uses. Technometrics 25:4, pages 373-376.
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Articles from other publishers (24)

F. Xavier Malcata. 2023. Analysis of Enzyme Reaction Kinetics. Analysis of Enzyme Reaction Kinetics 571 579 .
Irene Mariñas-Collado, Juan M. Rodríguez-Díaz & M. Teresa Santos-Martín. (2023) Optimal designs for a non-linear model for the pharmacokinetics of ethanol elimination in the human body. Chemometrics and Intelligent Laboratory Systems 238, pages 104839.
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J.M. Rodríguez-Díaz. (2022) Optimal sample plans for multiresponse and multisubject experiments. Chemometrics and Intelligent Laboratory Systems 231, pages 104699.
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Juan M. Rodríguez-Díaz, Rosa E. Pruneda & Mercedes Rodríguez-Hernández. (2022) Design Plan for an Evolution Study of Related Characteristics of a Population. Mathematics 10:5, pages 792.
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Christos P. Kitsos & C. S. A. Nisiotis. 2021. Nonlinear Analysis, Differential Equations, and Applications. Nonlinear Analysis, Differential Equations, and Applications 209 230 .
Irene Mariñas-Collado, M. Jesús Rivas-López, Juan M. Rodríguez-Díaz & M. Teresa Santos-Martín. (2019) Optimal designs in enzymatic reactions with high-substrate inhibition. Chemometrics and Intelligent Laboratory Systems 189, pages 102-109.
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J. M. Rodríguez-Díaz & G. Sánchez-León. (2019) Efficient parameter estimation in multiresponse models measuring radioactivity retention. Radiation and Environmental Biophysics 58:2, pages 167-182.
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Mapfumo Raison & Fungayi Zaranyika Mark. (2017) Application of two-level full factorial design and response surface methodology in the optimization of inductively coupled plasma-optical emission spectrometry (ICPOES) instrumental parameters for the determination of platinum. Journal of Geology and Mining Research 9:5, pages 43-53.
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Dae-Heung Jang & Youngil Kim. (2015) Two-Stage Experimental Design for Multiple Objectives. Korean Journal of Applied Statistics 28:1, pages 93-102.
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Youngil Kim, Dae-Heung Jang & Seongbaek Yi. (2014) The Maximin Robust Design for the Uncertainty of Parameters of Michaelis-Menten Model. Korean Journal of Applied Statistics 27:7, pages 1269-1278.
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D. M. Bates & W. G. Hunter. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Christos P. KitsosChristos P. Kitsos. 2013. Optimal Experimental Design for Non-Linear Models. Optimal Experimental Design for Non-Linear Models 15 30 .
J.M. Rodríguez-Díaz, M.T. Santos-Martín, H. Waldl & M. Stehlík. (2012) Filling and D-optimal designs for the correlated generalized exponential models. Chemometrics and Intelligent Laboratory Systems 114, pages 10-18.
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Ignacio Martínez-López, Isabel María Ortiz-Rodríguez & Carmelo Rodríguez-Torreblanca. (2009) Optimal designs for weighted rational models. Applied Mathematics Letters 22:12, pages 1892-1895.
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Milan Stehlík, Juan M. Rodríguez-Díaz, Werner G. Müller & Jesús López-Fidalgo. (2007) Optimal allocation of bioassays in the case of parametrized covariance functions: an application to Lung’s retention of radioactive particles. TEST 17:1, pages 56-68.
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G. Sánchez & J. M. Rodríguez-Díaz. (2007) Optimal design and mathematical model applied to establish bioassay programs. Radiation Protection Dosimetry 123:4, pages 457-463.
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D. M. Bates & W. G. Hunter. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
D. M. Bates & W. G. Hunter. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
J. LÓPEZ-FIDALGO & WENG KEE WONG. (2002) Design Issues for the Michaelis–Menten Model. Journal of Theoretical Biology 215:1, pages 1-11.
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Valerii V. Fedorov & Sergei L. Leonov. (2001) Optimal Design of Dose Response Experiments: A Model-Oriented Approach. Drug Information Journal 35:4, pages 1373-1383.
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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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Douglas M. Bates & Donald G. Watts. 1988. Nonlinear Regression Analysis and Its Applications. Nonlinear Regression Analysis and Its Applications 335 341 .
Douglas M. Bates & Donald G. Watts. 1988. Nonlinear Regression Analysis and Its Applications. Nonlinear Regression Analysis and Its Applications 343 353 .
G. Dunn. (2006) ‘Optimal’ designs for drug, neurotransmitter and hormone receptor assays. Statistics in Medicine 7:7, pages 805-815.
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