(Dt,C)-optimal run orders

Journal of Statistical Planning and Inference

Volumn 98, Issue 1-2, 2001, Pages 293-310

  Tack, Lieven ^a   Vandebroek, Martina ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

62K05; Cost; D optimality; Exchange algorithm; Run order; Trend robustness

Indexed keywords

EID: 0010446278     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(00)00299-8     Document Type: Article

References (36)

1. Anbari, F.T., 1993. Experimental designs for quality improvement when there are hard-to-change factors and easy-to-change factors. Ph. D. Thesis, Drexel University.
2. Anbari, F.T., Lucas, J.M., 1994. Super-efficient designs: how to run your experiment for higher efficiency and lower cost. Proceedings of the 48th Annual Quality Congress, pp. 852-863.
3. Atkinson A.C., Donev A.N. The Construction of Exact. D -optimum Experimental Designs with Application to Blocking Response Surface Designs Biometrika. 76:1989;515-526.
4. Atkinson A.C., Donev A.N. Optimum Experimental Designs. 1992;Clarendon Press, Oxford.
5. Atkinson A.C., Donev A.N. Experimental designs optimally balanced for trend. Technometrics. 38:1996;333-341.
6. Cheng, C.S., 1985. Run orders of factorial designs. In: LeCam, L., Olshen, R.A. (Eds.), Proceedings of Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer, Wadsworth, pp. 619-633.
7. Cheng C.S. Construction of run orders of factorial designs. Ghosh S. Statistical Design and Analysis of Industrial Experiments. 1990;423-439 Marcel Dekker, Inc. New York and Basel.
8. Cook R.D., Nachtsheim C.J. A comparison of algorithms for constructing exact. D-optimal designs Technometrics. 22:1980;315-324.
9. Coster D.C. Tables of minimum cost, linear trend-free run sequences for two- and three-level fractional factorial designs. Comp. Statist. Data Anal. 16:1993;325-336.
10. Coster D.C., Cheng C.S. Minimum cost trend-free run orders of fractional factorial designs. Ann. Statist. 16:1988;1188-1205.
11. Cox D.R. Some systematic experimental designs. Biometrika. 38:1951;312-323.
12. p-q plans robust against linear and quadratic trends Technometrics. 8:1966;259-278.
13. 5 main effects plans Technometrics. 16:1974;31-37.
14. Draper N.R., Stoneman D.M. Factor changes and linear trends in eight-run two-level factorial designs. Technometrics. 10:1968;301-311.
15. Fedorov V.V. Theory of Optimal Experiments. 1972;Academic Press, New York.
16. Freeny A.E., Lai W.Y.-C. Planarization by chemical mechanical polishing: a rate and uniformity study. Czitrom V., Spagon P.D. Statistical Case Studies for Industrial Process Improvement. 1997;251-264 ASA-SIAM, Philadelphia, Alexandria.
17. Haines L.M. The application of the annealing algorithm to the construction of exact optimal designs for linear-regression models. Technometrics. 29:1987;439-447.
18. Jacroux M. Methods for constructing trend-resistant run orders of 2-level factorial experiments. Ghosh S. Statistical Design and Analysis of Industrial Experiments. 1990;441-457 Marcel Dekker, Inc. New York and Basel.
19. Jacroux M. On the determination and construction of. E -optimal block designs in the presence of linear trends J. Statist. Plan. Inference. 67:1998;331-342.
20. Jacroux M., Majumdar D., Shah K.R. Efficient block designs in the presence of trends. Statist. Sinica. 5:1995;605-615.
21. Johnson M.E., Nachtsheim C.J. Some guidelines for constructing exact. D -optimal designs on convex design spaces Technometrics. 25:1983;271-277.
22. Joiner B.L., Campbell C. Designing experiments when run order is important. Technometrics. 18:1976;249-259.
23. Ju, H.L., 1992. Split plotting and randomization in industrial experiments. Ph. D. Thesis, University of Delaware.
24. Kiefer J. Optimum experimental designs. J. Roy Statist. Soc. B. 21:1959;272-319.
25. Lawler E., Bell M. A method for solving discrete optimization problems. Oper. Res. 14:1966;1098-1112.
26. Meyer R.K., Nachtsheim C.J. Simulated annealing in the construction of exact optimal design of experiments. Amer. J. Math. Man. Sci. 8:1988;329-359.
27. Meyer R.K., Nachtsheim C.J. The coordinate-exchange algorithm for constructing exact optimal experimental designs. Technometrics. 37:1995;60-69.
28. Mitchell T.J. An algorithm for the construction of. D -optimal experimental designs Technometrics. 16:1974;203-210.
29. Neuhardt J.B., Bradley H.E. On the selection of multi-factor experimental arrangements with resource constraints. J. Am. Statist. Assoc. 66:1971;618-621.
30. Pignatiello J.J. A minimum cost approach for finding fractional factorials. IIE Trans. 17:1985;212-218.
31. Rafajlowicz E. Minimum cost experimental design with a prescribed information matrix. SIAM Theory Probab. Approx. 34:1989;367-370.
32. Welch W.J. Branch-and-bound search for experimental designs based on. D -optimality and other criteria Technometrics. 26:1982;217-224.
33. Wynn H.P. Results in the theory and construction of. D -optimum experimental designs J. Roy Statist. Soc. B. 34:1972;133-147.
34. Yeh C.-M., Bradley R.A. Trend-free block designs: existence and construction results. Comm. Statist. Theory Methods. 12:1983;1-24.
35. Yeh C.-M., Bradley R.A., Notz W.I. Nearly trend-free block designs. J. Am. Statist. Soc. 80:1985;985-992.
36. Yen, V., 1985. Cost optimal saturated regression designs. Proceedings of ASA Business and Economic Statistics Section, pp. 286-288.