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Theory and Method

Optimal Experimental Design for Polynomial Regression

Pages 311-318 | Published online: 05 Apr 2012

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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.
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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.
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Donal P. Krouse. (1997) Admissible minimum bias estimation of response surfaces. Communications in Statistics - Theory and Methods 26:8, pages 1937-1949.
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Shawn X. Liu. (1997) Restricted optimal designs for linear and quadratic polynomial regressions. Communications in Statistics - Theory and Methods 26:1, pages 33-46.
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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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Rejoinder. (1995) Experimental Design. Statistics 26:2, pages 175-178.
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Carl Lee. (1995) Experimental Design. Statistics 26:2, pages 162-166.
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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.
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Friedrich Pukelsheim & JamesL. Rosenberger. (1993) Experimental Designs for Model Discrimination. Journal of the American Statistical Association 88:422, pages 642-649.
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M.A. Ali. (1990) Minimization of model inadequacy when observations subject to shift in means and variances. Communications in Statistics - Theory and Methods 19:4, pages 1467-1473.
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M.A. Ali. (1989) An alternative approach to minimize model inadequacy. Communications in Statistics - Theory and Methods 18:8, pages 2801-2811.
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Carl M.-S. Lee. (1987) Constrained optimal designs for regressiom models. Communications in Statistics - Theory and Methods 16:3, pages 765-783.
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N.R. Draper & I. Guttman. (1986) Response Surface Designs in Flexible Regions. Journal of the American Statistical Association 81:396, pages 1089-1094.
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DavidM. Steinberg & WilliamG. Hunter. (1984) Experimental Design: Review and Comment. Technometrics 26:2, pages 71-97.
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W.J. Studden. (1982) Some Robust-Type D-Optimal Designs in Polynomial Regression. Journal of the American Statistical Association 77:380, pages 916-921.
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Dankmar Böhing. (1981) On the construction of optimal experimental designs: a penalty approach. Series Statistics 12:4, pages 487-495.
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JamesW. Evans & A.R. Manson. (1978) Optimal Experimental Designs in Two Dimensions Using Minimum Bias Estimation. Journal of the American Statistical Association 73:361, pages 171-176.
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A. Ash & A. Hedayat. (1978) An introduction to designh optimality with an overview of the literature. Communications in Statistics - Theory and Methods 7:14, pages 1295-1325.
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NormanR. Draper, Irwin Guttman & Peter Lipow. (1977) All-Bias Designs for Spline Functions Joined at the Axes. Journal of the American Statistical Association 72:358, pages 424-429.
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Wayne Nelson & ThomasJ. Kielpinski. (1976) Theory for Optimum Censored Accelerated Life Tests for Normal and Lognormal Life Distributions. Technometrics 18:1, pages 105-114.
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E. Läuter. (1976) Optimal multipurpose designs for regression models. Mathematische Operationsforschung und Statistik 7:1, pages 51-68.
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R. C. St. John & N.R. Draper. (1975) D-Optimality for Regression Designs: A Review. Technometrics 17:1, pages 15-23.
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Marvin J. Karson & M. Lynn Spruill. (1975) Design criteria and minimum bias estimation. Communications in Statistics 4:4, pages 339-355.
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Elisabeth Läuter. (1974) Experimental design in a class of models. Mathematische Operationsforschung und Statistik 5:4-5, pages 379-398.
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RichardM. Royall & Jay Herson. (1973) Robust Estimation in Finite Populations I. Journal of the American Statistical Association 68:344, pages 880-889.
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CorwinL. Atwood. (1971) Robust Procedures for Estimating Polynomial Regression. Journal of the American Statistical Association 66:336, pages 855-860.
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M.J. Box & N.R. Draper. (1971) Factorial Designs, the |X′X| Criterion, and Some Related Matters. Technometrics 13:4, pages 731-742.
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