Projective properties of certain orthogonal arrays

Biometrika

Volumn 83, Issue 4, 1996, Pages 950-955

  Box, George ^a   Tyssedal, John ^b  

^a University of Wisconsin Madison   (United States)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Design projectivity; Design resolution; Factor screening; Fractional factorial design; Orthogonal array; Plackett Burman design

Indexed keywords

EID: 0001264052     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/83.4.950     Document Type: Article

References (15)

1. BOX, G. E. P. & BISGAARD, S. (1993). What can you find out from 12 experimental runs. Qual. Eng. 5, 663-8.
2. k-p fractional factorial designs, I and II. Technometrics 3, 311-51, 449-58.
3. BOX, G. E. P., HUNTER, W. G. & HUNTER, J. S. (1978). Statistics for Experimenters. New York: John Wiley.
4. BOX, G. E. P. & MEYER, R. D. (1986a). Dispersion effects from fractional designs. Technometrics 28, 19-27.
5. BOX, G. E. P. & MEYER, R. D. (1986b). An analysis for unreplicated fractional factorials. Technometrics 28, 11-8.
6. BOX, G. E. P. & MEYER, R. D. (1993). Finding the active factors in fractional screening experiments. J. Qual. Technol. 25, 94-105.
7. BOX, G. E. P. & WILSON, K. B. (1951). On the experimental attainment of optimum conditions. J. R. Statist. Soc. B 13, 1-38.
8. CHENG, C. S. (1995). Some projection properties of orthogonal arrays. Ann. Statist. 23, 1223-33.
9. FINNEY, D. J. (1945). The fractional replication of factorial arrangements. Ann. Eugen. 12, 291-301.
10. HEDAYAT, A. & WALLIS, W. D. (1978). Hadamard matrices and their applications. Ann. Statist. 6, 1184-238.
11. LIN, D. K. (1993). Another look at first-order saturated designs: The p-efficient designs. Technometrics 35, 284-94.
12. LIN, D. K. J. & DRAPER, N. R. (1992). Projection properties of Plackett & Burman designs. Technometrics 34, 423-8.
13. PLACKETT, R. L. & BURMAN, J. P. (1946). The design of optimum multifactorial experiments. Biometrika 33, 305-25.
14. RAGHAVARAO, D. (1971). Construction and Combinatorial Problems in Design of Experiments. New York: John Wiley.
15. RAO, C. R. (1947). Factorial experiments derivable from combinatorial arrangements of arrays. J. R. Statist. Soc. B 9, 128-39.