On the construction and existence of orthogonal arrays with three levels and indexes 1 and 2

Annals of Statistics

Volumn 25, Issue 5, 1997, Pages 2044-2053

  Hedayat, S ^a   Stufken, John ^b   Su, Guoqin ^a  

^a 1120 Science and Engineering Offices   (United States)

^b Department of Statistics Center for Statistics and Applications in Forensic Evidence Iowa State University 2438 Osborn Dr Ames   (United States)

Author keywords

Fractional factorial designs; Orthogonal arrays

Indexed keywords

EID: 0031530240     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1069362386     Document Type: Article

References (11)

1. ADDELMAN, S. and KEMPTHORNE, O. (1961). Some main-effect plans and orthogonal arrays of strength two. Ann. Math. Statist. 32 1167-1176.
2. BOSE, R. C. and BUSH, K. A. (1952). Orthogonal arrays of strength two and three. Ann. Math. Statist. 23 508-524.
3. BUSH, K. A. (1952). Orthogonal arrays of index unity. Ann. Math. Statist. 23 426-434.
4. CHENG, C.-S. (1980). Orthogonal arrays with variable numbers of symbols. Ann. Statist. 8 447-453.
5. HEDAYAT, A., SEIDEN, E. and STUFKEN, J. (1997). On the maximal number of factors and the enumeration of 3-symbol orthogonal arrays of strength 3 and index 2. J. Statist. Plann. Inference 58 43-63.
6. HEDAYAT, A., SLOANE, N. J. A. and STUFKEN, J. (1997). Orthogonal Arrays: Theory and Applications. Unpublished manuscript.
7. MUKERJEE, R. (1982). Universal optimality of fractional factorial plans derivable through orthogonal arrays. Calcutta Statist. Assoc. Bull. 31 6-68.
8. RAKTOE, B. L., HEDAYAT, A. and FEDERER, W. T. (1981). Factorial Designs. Wiley, New York.
9. RAO, C. R. (1946). On hypercubes of strength d and a system of confounding in factorial experiments. Bull. Calcutta Math. Soc. 38 67-78.
10. RAO, C. R. (1947). Factorial experiments derivable from combinatorial arrangements of arrays. Suppl. J. Roy. Statist. Soc. 9 128-139.
11. SEIDEN, E. and ZEMACH, R. (1966). On orthogonal arrays. Ann. Math. Statist. 37 1355-1370.