On the optimality of orthogonal array plus one run plans

Annals of Statistics

Volumn 27, Issue 1, 1999, Pages 82-93

  Mukerjee, Rahul ^a  

^a INDIAN INSTITUTE OF MANAGEMENT CALCUTTA   (India)

Author keywords

Generalized criterion of type 1; Kronecker calculus; Real parametrization; Resolution

Indexed keywords

EID: 0033243855     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1018031102     Document Type: Article

References (11)

1. CHATTERJEE, K. and MUKERJEE, R. (1993). Search designs for estimating main effects and searching several two-factor interactions in general factorials. J. Statist. Plann. Inference 35 131-138.
2. CHENG, C. S. (1980a). Orthogonal arrays with variable numbers of symbols. Ann. Statist. 6 447-453.
3. n fractional factorial designs. Ann. Statist. 6 436-446.
4. COLLOMBIER, D. (1988). Optimality of some fractional factorial designs. In Optimal Design and Analysis of Experiments (Y. Dodge, V. V. Fedorov and H. P. Wynn, eds.) 39-45. North-Holland, Amsterdam.
5. GUPTA, S. and MUKERJEE, R. (1989). A Calculus for Factorial Arrangements. Springer, Berlin.
6. k designs for N = 1 mod 9 observations. J. Statist. Plann. Inference 22 95-103.
7. MUKERJEE, R. (1982). Universal optimality of fractional factorial plans derivable through orthogonal arrays. Calcutta Statist. Assoc. Bull. 31 63-68.
8. MUKERJEE, R. (1995). On E-optimal fractions of symmetric and asymmetric factorials. Statist. Sinica 5 515-533.
9. MUKERJEE, R. and Wu, C. F. J. (1995). On the existence of saturated and nearly saturated asymmetrical orthogonal arrays. Ann. Statist. 23 2102-2115.
10. RAO, C. R. (1973). Some combinatorial problems of arrays and applications to design of experiments. In A Survey of Combinatorial Theory (J. N. Srivastava, ed.) 349-359. North-Holland, Amsterdam.
11. WANG, J. C. and Wu, C. F. J. (1991). An approach to the construction of asymmetrical orthogonal arrays. J. Amer. Statist. Assoc. 86 450-456.