Indicator function and its application in two-level factorial designs

Annals of Statistics

Volumn 31, Issue 3, 2003, Pages 984-994

  Ye, Kenny Q ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

Generalized aberration; Orthogonality; Projection properties; Uniform design

Indexed keywords

EID: 0042812369     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1056562470     Document Type: Article

References (16)

1. CHENG, C.-S. (1998). Some hidden projection properties of orthogonal arrays with strength three. Biometrika 85 491-495.
2. COHEN, A. M., DI BUCCHIANICO, A. and RICCOMAGNO, E. (2001). Replications with Gröbner bases. In mODa6: Advances in Model-Oriented Design and Analysis (A. C. Atkinson, P. Hackl and W. Müller, eds.) 37-44. Physica, Heidelberg.
3. DENG, L.-Y. and TANG, B. (1999). Generalized resolution and minimum aberration criteria for Plackett-Burman and other nonregular factorial designs. Statist. Sinica 9 1071-1082.
4. DEY, A. and MUKERJEE, R. (1999). Fractional Factorial Plans. Wiley, New York.
5. FANG, K.-T. and MUKERJEE, R. (2000). A connection between uniformity and aberration in regular fractions of two-level factorials. Biometrika 87 193-198.
6. FONTANA, R., PISTONE, G. and ROGANTIN, M. P. (2000). Classification of two-level factorial fractions. J. Statist. Plann. Inference 87 149-172.
7. k-p designs. Technometrics 22 601-608.
8. HICKERNELL, F. J. (1998). A generalized discrepancy and quadrature error bound. Math. Comp. 67 299-322.
9. LI, W. and WU, C. F. J. (1997). Columnwise-pairwise algorithms with applications to the construction of supersaturated designs. Technometrics 39 171-179.
10. LIN, D. K. J. and DRAPER, N. R. (1992). Projection properties of Plackett and Burman designs. Technometrics 34 423-428.
11. PISTONE, G., RICCOMAGNO, E. and WYNN, H. P. (2001). Algebraic Statistics: Computational Commutative Algebra in Statistics. Chapman and Hall, Boca Raton, FL.
12. PISTONE, G. and WYNN, H. P. (1996). Generalized confounding with Gröbner bases. Biometrika 83 653-666.
13. 2-aberration. Biometrika 88 401-407.
14. 2-aberration for nonregular fractional factorial designs. Ann. Statist. 27 1914-1926.
15. WANG, J. C. and WU, C. F. J. (1995). A hidden projection property of Plackett-Burman and related designs. Statist. Sinica 5 235-250.
16. WU, C. F. J. and HAMADA, M. (2000). Experiments: Planning, Analysis and Parameter Design Optimization. Wiley, New York.