Criterion-robust designs for the models of spring balance weighing

[1] CERANKA, B.-KATULSKA, K.: Construction of optimum biased spring balance weighing designs with the diagonal covariance matrix of errors, Comput. Stat. Data Anal. 10 (1990), 121-131.10.1016/0167-9473(90)90057-OSearch in Google Scholar

[2] CHENG, C. S.: An application of the Kiefer-Wolfowitz equivalence theorem to a problem in Hadamard transform optics, Ann. Stat. 15 (1987), 1593-1603.Search in Google Scholar

[3] CHENG, C. S.: Biased weighing designs, manuscript written in 1995, personal communication with the author.Search in Google Scholar

[4] DETTE, H.-STUDDEN, W. J.: Geometry of E-optimality, Ann. Stat. 21 (1993), 416-433.Search in Google Scholar

[5] FILOV´A, L.-TRNOVSK´A, M.-HARMAN, R.: Computing maximin efficient experimental designs using the methods of semidefinite programming, Metrika 75 (2012), 709-719.10.1007/s00184-011-0348-6Search in Google Scholar

[6] FILOV´A, L.-HARMAN, R.- KLEIN, T.: Approximate E-optimal designs for the model of spring balance weighing with a constant bias, J. Stat. Plann. Inference 141 (2011), 2480-2488.10.1016/j.jspi.2011.02.011Search in Google Scholar

[7] HARMAN, R.: Minimal efficiency of designs under the class of orthogonally invariant information criteria, Metrika 60 (2004), 137-153.10.1007/s001840300301Search in Google Scholar

[8] HARMAN, R.: Lower bounds on efficiency ratios based on Φp-optimal designs, in: mODa 7-Advances in Model-Oriented Design and Analysis (A. Giovagnoli et al., eds.), Bertinoro, Italy, 2010, Physica-Verlag, Heidelberg, 2004, pp. 89-96.10.1007/978-3-7908-2693-7_10Search in Google Scholar

[9] JACROUX, M.-NOTZ, W.: On the optimality of spring balance weighing designs, Ann. Stat. 11 (1983), 970-978.10.1214/aos/1176346262Search in Google Scholar

[10] P´AZMAN, A.: Foundations of Optimum Experimental Design. D. Reidel, Dordrecht, 1986.Search in Google Scholar

[11] PUKELSHEIM, F.: Optimal Design of Experiments. JohnWiley & Sons, New York, 1993.Search in Google Scholar

[12] STURM, J.F.: Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones, Optim. Methods Softw. 11-12 (1999), 625-653.10.1080/10556789908805766Search in Google Scholar