Construction of marginally and conditionally restricted designs using multiplicative algorithms

Computational Statistics and Data Analysis

Volumn 51, Issue 12, 2007, Pages 5547-5561

  Martin Martin R ^a   Torsney, B ^b   Lopez Fidalgo J ^a  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Approximate design; c Optimality; D optimality; DA optimality; Ds optimality; Equivalence theorem; LA optimality; Uncontrolled variables

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; ONCOLOGY; THEOREM PROVING;

APPROXIMATE DESIGN; C-OPTIMALITY; D-OPTIMALITY; EQUIVALENCE THEOREM; MULTIPLICATIVE ALGORITHMS; UNCONTROLLED VARIABLES;

ALGORITHMS;

EID: 34547202625     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2007.03.025     Document Type: Article

References (16)

1. Cook R.D., and Thibodeau L.A. Marginally restricted D-optimal designs. J. Amer. Statist. Assoc. 75 (1980) 366-371
2. Fedorov V.V. Theory of Optimal Experiments (1972), Academic Press, New York
3. Fedorov, V.V., Leonov, S., 2004. Optimal designs for regression models with forced measurements at baseline. mODa 7-Advances in model-oriented design and analysis. Contrib. Statist., 61-69.
4. Fellman J. On the allocation of linear observations. Commentationes Physico-Mathematicae, Helsinki 44 (1974) 27-78
5. Huang M.N.L., and Chang H.F. Marginally restricted constrained optimal designs. Sankhyà Indian J. Statist. B 57 1 (1995) 128-141
6. Huang M.N.L., and Hsu M.C. Marginally restricted linear-optimal designs. J. Statist. Plann. Inference 35 (1993) 251-266
7. López-Fidalgo J., and Garcet-Rodríguez S. Optimal experimental designs when some independent variables are not subject to control. J. Amer. Statist. Assoc. 99 468 (2004) 1190-1199
8. Mandal S., and Torsney B. Algorithms for the construction of optimizing distributions. Comm. Statist. Theory Methods 29 (2000) 1219-1231
9. Mandal S., and Torsney B. Construction of optimal designs using a clustering approach. J. Statist. Plann. Inference 136 (2006) 1120-1134
10. Nachtsheim C.J. On the design of experiments in the presence of fix covariates. J. Statist. Plann. Inference 22 (1989) 203-212
11. Titterington, D.M., 1976. Algorithms for computing D-optimal designs on a finite design space. Conference on Information Sciences and Systems, Department of Electrical Engineering, Johns Hopkins University, Baltimore, MD, pp. 213-216.
12. Titterington D.M. Estimation of correlation coefficients by ellipsoidal trimming. J. Roy. Statist. Soc., Ser. A C 27 (1978) 227-234
13. Torsney, B., 1983. A moment inequality and monotonicity of an algorithm. In: Kortanek, K.O., Fiacco, A.V. (Eds.), Proceedings of the International Symposium on Semi-Infinite Programming and Applications, University of Texas, Austin. Lecture Notes in Economics and Mathematical System, vol. 215, pp. 249-260.
14. Torsney B., and Mandal S. Construction of constrained optimal designs. In: Atkinson A., Bogacka B., and Zhigljavsky A.A. (Eds). Optimum Design 2000 (2001), Kluwer Publishers, MA 141-152
15. Varela G., Cordovilla R., Jiménez M.F., and Nova N. Utility of standarized exercise oximetry to predict cardiopulmonary morbidity after lung resection. European Journal of Cardio-thoracic Surgery 19 (2001) 351-354
16. Wu C.F. Some algorithmic aspects of the theory of optimal designs. Ann. Statist. 6 6 (1978) 1286-1301