Designing fractional factorial split-plot experiments with few whole-plot factors

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 53, Issue 2, 2004, Pages 325-339

  Bingham, D R ^a   Schoen, E D ^b   Sitter, R R ^c  

^a UNIVERSITY OF MICHIGAN   (United States)

^b TNO   (Netherlands)

^c SIMON FRASER UNIVERSITY   (Canada)

Author keywords

Bi randomization; Blocking; Minimum aberration; Resolution; Restricted randomization

Indexed keywords

EID: 2342608485     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1467-9876.2003.05029.x     Document Type: Article

References (24)

1. Addelman, S. (1964) Some two-level factorial plans with split-plot confounding. Technometrics, 6, 253-258.
2. Bingham, D. and Sitter, R. R. (1999) Minimum aberration two-level fractional factorial split-plot designs. Technometrics, 41, 62-70.
3. Bingham, D. and Sitter, R. R. (2000) Fractional factorial split-plot designs for robust parameter experiments. Proc. Phys. Engng Sci. Sect. Am. Statist. Ass., 12-21.
4. Bingham, D. and Sitter, R. R. (2001) Design issues for fractional factorial split-plot experiments. J. Qual. Technol., 32, 2-15.
5. Bingham, D. and Sitter, R. R. (2003) Fractional factorial split-plot designs for robust parameter experiments. Technometrics, 45, 80-89.
6. k-p designs. Technometrics, 36, 308-311.
7. q-r split-plot experiments. J. Qual. Technol., 32, 39-56.
8. Box, G. E. P. and Jones, S. (1992) Split-plot designs for robust product experimentation. J. Appl. Statist., 19, 3-26.
9. Chen, J., Sun, D. X. and Wu, C. F. J. (1993) A catalogue of two-level and three-level fractional factorial designs with small runs. Int. Statist. Rev., 61, 131-145.
10. Daniel, C. (1959) Use of half-normal plots in interpreting factorial two-level experiments. Technometrics, 1, 311-340.
11. Finney, D. J. (1943) The fractional replication of factorial arrangements. Ann. Eugen., 12, 291-301.
12. Fisher, R. A. (1942) The theory of confounding in factorial experiments in relation to the theory of groups. Ann. Eugen., 11, 341-353.
13. k-p designs. Technometrics, 22, 601-608.
14. Goos, P. and Vandebroek, M. (2001) Optimal split-plot designs. J. Qual. Technol., 33, 436-450.
15. Huang, P., Chen, D. and Voelkel, J. (1998) Minimum aberration two-level split-plot designs. Technometrics, 40, 314-326.
16. Kempthorne, O. (1952) The Design and Analysis of Experiments. New York: Wiley.
17. Letsinger, J. D., Myers, R. H. and Lentner, M. (1996) Response surface methods for bi-randomization structures. J. Qual. Technol., 28, 381-397.
18. Loeppky, J. L. and Sitter, R. R. (2002) Analyzing unreplicated blocked or split-plot fractional factorial designs. J. Qual. Technol., 34, 229-243.
19. Schoen, E. D. (1999) Designing fractional two-level experiments with nested error structures. J. Appl. Statist., 26, 495-508.
20. Schoen, E. D. and Kaul, E. A. A. (2000) Three robust scale estimators to judge unreplicated experiments. J. Qual. Technol., 32, 276-283.
21. n-k designs. Technometrics, 39, 382-390.
22. Wu, C. F. J. and Hamada, M. (2000) Experiments: Planning, Analysis, and Parameter Design Optimization. New York: Wiley.
23. Yates, F. (1937) The design and analysis of factorial experiments. Technical Communication 35. Imperial Bureau of Soil Science, Harpenden.
24. Zhu, Y. (2000) A theory of experimental design for multiple groups of factors. PhD Thesis. Department of Statistics, University of Michigan, Ann Arbor.