Minimum G aberration design construction and design tables for 24 runs

Journal of Quality Technology

Volumn 37, Issue 2, 2005, Pages 101-114

  Ingram, Debra ^a,c   Tang, Boxin ^b,c  

^a ARKANSAS STATE UNIVERSITY   (United States)

^b SIMON FRASER UNIVERSITY   (Canada)

^c Dept of Mathematics and Statistics ^*  (Canada)

Author keywords

Confounding Frequency Vector; Exchange Algorithm; Fractional Factorial Design; Hadamard Matrix; Nonregular Design; Regular Design

Indexed keywords

ALGORITHMS; MATRIX ALGEBRA; QUALITY CONTROL; STATISTICAL METHODS; THEOREM PROVING; VECTORS;

CONFOUNDING FREQUENCY VECTORS; EXCHANGE ALGORITHMS; FRACTIONAL FACTORIAL DESIGNS; HADAMARD MATRIX; NONREGULAR DESIGNS; REGULAR DESIGNS;

ENGINEERING RESEARCH;

EID: 18144377118     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2005.11980309     Document Type: Article

References (16)

1. k-p Fractional Factorial Designs. Part I". Technometrics 3, pp. 311-351.
2. BOX, G. E. P.; HUNTER, W. G.; and HUNTER, J. S. (1978). Statistics for Experimenters. Wiley, New York.
3. DENG, L. Y.; Li, Y.; and TANG, B. (2000). "Catalogue of Small Runs Nonregular Designs from Hadamard Matrices With Generalized Minimum Aberration". Communications in Statistics-Theory and Methods 29, pp. 1379-1395.
4. DENG, L. Y. and TANG, B. (1999). "Generalized Resolution and Minimum Aberration Criteria for Plackett-Burman and Other Nonregular Factorial Designs". Statistica Sinica 9, pp. 1071-1082.
5. DENG, L. Y and TANG, B. (2002). "Design Selection and Classification for Hadamard Matrices Using Generalized Minimum Aberration Criteria". Technometrics 44, pp. 173-184.
6. k-p Designs". Technometrics 22, pp. 601-608.
7. HAMADA, M. and WU, C. F. J. (1992). "Analysis of Designed Experiments With Complex Aliasing". Journal of Quality Technology 24, pp. 130-137.
8. HEDAYAT, A. S.; SLOANE, N. J. A.; and STUFKEN, J. (1999). Orthogonal Arrays: Theory and Applications. Springer-Verlag, New York.
9. HEDAYAT, A. S. and WALLIS, W. D. (1978). "Hadamard Matrices and Their Applications". The Annals of Statistics 6, pp. 1184-1238.
10. INGRAM, D. (2000). "The Construction of Generalized Minimum Aberration Designs by Efficient Algorithm". Ph.D. Dissertation, University of Memphis, Memphis, TN.
11. INGRAM, D. and TANG, B. (2001). "Efficient Computational Algorithms for Searching for Good Designs According to the Generalized Minimum Aberration Criterion". American Journal of Mathematical and Management Sciences 21, pp. 325-344.
12. MILLER, A. and SITTER, R. R. (2001). "Using the Folded-Over 12-Run Plackett-Burman Design to Consider Interactions". Technometrics 43, pp. 44-55.
13. MITCHELL, T. J. (1974). "An Algorithm for the Construction of D-Optimal Experimental Designs". Technometrics 16, pp. 203-210.
14. PLACKETT, R. L. and BURMAN, J. P. (1946). "The Design of Optimum Multi-Factorial Experiments". Biometrika 33, pp. 305-325.
15. 2-Aberration for Nonregular Fractional Factorial Designs". The Annals of Statistics 27, pp. 1914-1926.
16. n-k Designs in Terms of Their Complementary Designs". Annals of Statistics 24, pp. 2549-2559.