Updating the average efficiency factor in α-designs

Biometrika

Volumn 87, Issue 3, 2000, Pages 695-699

  Williams, E R ^a   John, J A ^b  

^a CSIRO   (Australia)

^b UNIVERSITY OF WAIKATO   (New Zealand)

Author keywords

Average efficiency factor; Design generation algorithm; Exchange procedure; Interchange procedure; Latinised design; Resolvable design; design

Indexed keywords

EID: 0011465207     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/87.3.695     Document Type: Article

References (11)

1. COOK, R. D. & WEISBERG, S. (1982). Residuals and Influence in Regression. London: Chapman and Hall.
2. DAVIS, A. W. & HALL, W. B. (1969). Cyclic change-over designs. Biometrika 56, 283-93.
3. ECCLESTON, J. A. (1980). Recursive techniques for the construction of experimental designs. J. Statist. Plan. Infer. 4, 291-7.
4. HARVILLE, D. A. (1997). Matrix Algebra from a Statistician's Perspective. New York: Springer.
5. HENDERSON, H. V. & SEARLE, S. R. (1981). On deriving the inverse of a sum of matrices. SIAM Rev. 23, 53-60.
6. JOHN, J. A. & WHITAKER, D. (2000). Recursive formulae for the average efficiency factor in block and row-column designs. J. R. Statist. Soc. B. To appear.
7. JOHN, J. A. & WILLIAMS, E. R. (1995). Cyclic and Computer Generated Designs. London: Chapman and Hall.
8. JOHN, J. A. & WILLIAMS, E. R. (1999). Partially-latinized designs. Statist. Comp. 9, 203-7.
9. PATTERSON, H. D. & WILLIAMS, E. R. (1976). A new class of resolvable incomplete block designs. Biometrika 63, 83-92.
10. WHITAKER, D., WILLIAMS, E. R. & JOHN, J. A. (1997). CycDesigN: A Package for the Computer Generation of Experimental Designs. Canberra: CSIRO.
11. WILLIAMS, E. R. (1986). Row and column designs with contiguous replicates. Aust. J. Statist. 28, 154-63.