Some orthogonal arrays with 32 runs and their projection properties

Metrika

Volumn 63, Issue 3, 2006, Pages 271-281

  Evangelaras, H ^a   Kolaiti, E ^a   Koukouvinos, C ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Circulant cores; Distinct runs; Generalized projectivity; Generalized resolution; Generalized wordlength pattern; Hadamard matrices; Orthogonal arrays; Screening designs

Indexed keywords

EID: 33646482708     PISSN: 00261335     EISSN: 1435926X     Source Type: Journal    
DOI: 10.1007/s00184-005-0018-7     Document Type: Article

References (28)

1. Baumert LD (1971) Cyclic difference sets. Lecture notes in mathematics, Springer, Berlin Heidelberg New York
2. k-p fractional factorial designs. Technometrics 27:173-180
3. Box GEP, Hunter WG, Hunter JS (1978) Statistics for experimenters. Wiley, New York
4. Box G, Tyssedal J (1996) Projective properties of certain orthogonal arrays. Biometrika 83:950-955
5. Bulutoglu DA, Cheng CS (2003) Hidden projection properties of some nonregular fractional factorial designs and their applications. Ann Stat 31:1012-1026
6. Cheng CS (1995) Some projection properties of orthogonal arrays. Ann Stat 23:1223-1233
7. Cheng CS, Mukerjee R (1998) Regular fractional factorial designs with minimum aberration and maximum estimation capacity. Ann Stat 26:2289-2300
8. Clark JB, Dean AM (2001) Equivalence of fractional factorial designs. Stat Sin 11:537-547
9. Dean A. Voss D (1999) Design and analysis of experiments. Springer, Berlin Heidelberg New York
10. Deng LY, Tang B (2002) Design selection and classification for Hadamard matrices using generalized minimum aberration criteria. Technometrics 44:173-184
11. Deng LY, Tang B (1999) Generalized resolution and minimum aberration criteria for Plackett-Burman and other nonregular factorial designs. Stat Sin 9:1071-1082
12. Dey A, Mukerjee R (1999) Fractional factorial plans. Wiley, New York
13. Fang KT, Mukerjee R (2000) Connection between uniformity and aberration in regular fractions of two-level factorials. Biometrika 87:193-198
14. Fletcher RJ, Gysin M, Seberry J (2001) Application of the discrete Fourier transform to the search for generalised Legendre pairs and Hadamard matrices. Australas J Comb 23:75-86
15. k-p designs. Technometrics 22:601-608
16. Goh D, Street DJ (1998) Projective properties of small Hadamard matrices and fractional factorial designs. J Comb Math Comb Comput 28:141-148
17. Hedayat AS, Sloane NJA, Stufken J (1999) Orthogonal arrays theory and applications. Springer, Berlin Heidelberg New York
18. Lin DKJ, Draper NR (1992) Projection properties of Plackett and Burman designs. Technometrics 34:423-428
19. Ma CX, Fang KT (2001) A note on generalized aberration in factorial designs. Metrika 53:85-93
20. MacWilliams FJ, Sloane NJA (1977) The theory of error-correcting codes. North Holland, Amsterdam
21. Montgomery DC (2001) Design and analysis of experiments. 5th edn. Wiley, New York
22. Paley REAC (1933) On orthogonal matrices. J Math Phys 12:311-320
23. Plackett RL, Burman JP (1946) The design of optimum multifactorial experiments. Biometrika 33:305-325
24. Wang JC, Wu CFJ (1995) A hidden projection property of Plackett-Burman and related designs. Stat Sin 5:235-250
25. Wu CFJ, Hamada M (2000) Experiments: planning, analysis, and parameter design optimization. Wiley, New York
26. Xu H (2003) Minimum moment aberration for nonregular designs and supersaturated designs. Stat Sin 13:691-708
27. Xu H. Wu CFJ (2001) Generalized minimum aberration for asymmetrical fractional factorial designs. Ann Stat 29:1066-1077
28. Yang CH (1971) On Hadamard matrices constructible by circulant submatrices. Math Comput 25:181-186