Detection of interactions in experiments on large numbers of factors

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 63, Issue 4, 2001, Pages 633-672

  Lewis, S M ^b   Dean, A M ^a  

^a OHIO STATE UNIVERSITY   (United States)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Active effect; Cancellation; Factorial experiment; Group screening; Interactions

Indexed keywords

EID: 0035650041     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00304     Document Type: Article

References (39)

1. Abraham, B., Chipman, H. and Vijayan, K. (1999) Some risks in the construction and analysis of supersaturated designs. Technometrics, 41, 135-141.
2. Balding, D. J. and Torney, D. C. (1996) Optimal pooling designs with error detection. J. Combin. Theory A, 74, 131-140.
3. Borkowski, J. J. and Lucas, J. M. (1997) Designs of mixed resolution for process robustness studies. Technometrics, 39, 63-70.
4. Box, G. E. P. and Meyer, D. (1986) An analysis for unreplicated fractional factorials. Technometrics, 28, 11-18.
5. Chatterjee, K. and Mukerjee, R. (1993) Search designs for estimating main effects and searching several two-factor interactions in general factorials. J. Statist. Planng Inf., 35, 131-138.
6. 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.
7. Chipman, H., Hamada, M. and Wu, C. F. J. (1997) A Bayesian variable-selection approach to analyzing designed experiments with complex aliasing. Technometrics, 39, 372-381.
8. Curnow, R. N. and Morris, A. P. (1998) Pooling DNA in the identification of parents. Heredity, 79, 101-109.
9. Dean, A. M. and Lewis, S. M. (2001) Comparison of group screening strategies for factorial experiments. Comput. Statist. Data Anal., to be published.
10. Dorfman, R. (1943) The detection of defective members of large populations. Ann. Math. Statist., 14, 436-440.
11. Dunsmore, W. (1999) The application of statistical techniques to mechanical design and redesign. PhD Thesis. Department of Mechanical Engineering, University of Southampton, Southampton.
12. Gunter, B. H. (1993) Discussion on "A systematic approach to planning for a designed experiment" (by D. E. Coleman and D. C. Montgomery). Technometrics, 35, 13.
13. Hedayat, A. S. and Pesotan, H. (1992) Two-level factorial designs for main effects and selected two-factor interactions. Statist. Sin., 2, 453-464.
14. Hsu, J. C. (1996) Multiple Comparisons: Theory and Methods. London: Chapman and Hall.
15. Kackar, R. N. (1985) Off-line quality control, parameter design, and the Taguchi method. J. Qual. Technol., 17, 176-188.
16. Kleijnen, J. P. C. (1975) Screening designs for polyfactor experimentation. Technometrics, 17, 487-493.
17. _(1987) Review of random and group-screening designs. Communs Statist. Theory Meth., 16, 2885-2900.
18. Li, C. H. (1962) A sequential method for screening experimental variables. J. Am. Statist. Ass., 57, 455-477.
19. Li, W. and Nachtsheim, J. (2000) Model-robust factorial designs. Technometrics, 42, 345-352.
20. Lin, D. K. J. (1993) A new class of supersaturated designs. Technometrics, 35, 28-31.
21. _(1995) Generating systematic supersaturated designs. Technometrics, 37, 213-225.
22. Mauro, C. A. (1984) On the performance of two-stage group screening experiments. Technometrics, 26, 255-264.
23. McCullagh, P. and Nelder, J. A. (1989) Generalized Linear Models, 2nd edn. London: Chapman and Hall.
24. Moore, M. A. and Epps, H. H. (1992) Accelerated weathering of marine fabrics. J. Test. Evaln, 20, 139-143.
25. Morris, M. D. (1987) Two-stage factor screening procedures using multiple grouping assignments. Communs Statist. Theory Meth., 16, 3051-3067.
26. Morris, M. D. and Mitchell, T. J. (1983) Two-level multifactor designs for detecting the presence of interactions. Technometrics, 25, 345-355.
27. Odhiambo, J. W. and Patel, M. S. (1986) On multistage group screening designs. Communs Statist. Theory Meth., 15, 1627-1645.
28. O'Geran, J. H., Wynn, H. P. and Zhiglavsky, A. A. (1991) Search. Acta Applic. Math., 25, 241-276.
29. Ottieno, J. A. M. and Patel, M. S. (1984) Two-stage group-screening designs with unequal a-prior probabilities. Communs Statist. Theory Meth., 13, 761-779.
30. Richmond, J. (1982) A general method for constructing simultaneous confidence intervals. J. Am. Statist. Ass., 77, 455-460.
31. SAS Institute (1995) SAS/QC Software: Usage and Reference, vol. 1, ch. 21-22. Cary: SAS Institute.
32. Sexton, C. J., Lewis, S. M. and Please, C. P. (2001) Experiments for derived factors with application to hydraulic gear pumps. Appl. Statist., 50, 155-170.
33. Shoemaker, A. C., Tsui, K.-L. and Wu, C. F. J. (1991) Economical experimentation methods for robust design. Technometrics, 33, 415-427.
34. Srivastava, J. N. (1975) Designs for searching for non-negligible effects. In A Survey of Statistical Design and Linear Models (ed. J. N. Srivastava), pp. 507-519. Amsterdam: North-Holland.
35. Wang, J. C. and Wu, C. F. J. (1995) A hidden projection property of Plackett and Burman and related designs. Statist. Sin., 5, 235-250.
36. Watson, G. S. (1961) A study of the group screening method. Technometrics, 3, 371-388.
37. Welch, W. J., Yu, T. K., Kang, S. M. and Sacks, J. (1990) Computer experiments for quality control by parameter design. J. Qual. Technol., 22, 15-22.
38. Whiteley, R. and Lawson, R. (1992) Karl Fischer moisture designed experiment. In Understanding Industrial Designed Experiments (eds S. R. Schmidt and R. G. Launsby), 3rd edn, pp. 8.187-8.194. Colorado Springs: Air Academy Press.
39. Wu, C. F. J. (1993) Construction of supersaturated designs through partially aliased interactions. Biometrika, 80, 661-669.