Recursive formulae for the average efficiency factor in block and row-column designs

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 62, Issue 3, 2000, Pages 575-583

  John, J A ^a   Whitaker, D ^a  

^a UNIVERSITY OF WAIKATO   (New Zealand)

Author keywords

(M, S) optimality; A optimality; Average efficiency factor; Block designs; Dual designs; Interchange algorithms; Resolvable designs; Row column designs

Indexed keywords

EID: 0034366214     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00251     Document Type: Article

References (12)

1. Eccleston, J. A. (1980) Recursive techniques for the construction of experimental designs. J. Statist. Planng Inf., 4, 291-297.
2. Eccleston, J. A. and Hedayat, A. (1974) On the theory of connected designs: characterization and optimality. Ann. Statist., 2, 1238-1255.
3. Eccleston, J. A. and Jones, B. (1980) Exchange and interchange procedures to search for optimal row-and-column designs. J. R. Statist. Soc. B, 42, 372-376.
4. Harville, D. A. (1997) Matrix Algebra from a Statistician's Perspective. New York: Springer.
5. Henderson, H. V. and Searle, S. R. (1981) On deriving the inverse of a sum of matrices. SIAM Rev., 23, 53-60.
6. Jansen, J., Douven, R. C. M. H. and van Berkum, E. E. M. (1992) An annealing algorithm for searching optimal block designs. Biometr. J., 34, 529-538.
7. John, J. A. (1965) A note on the analysis of incomplete block experiments. Biometrika, 52, 633-636.
8. John, J. A. and Whitaker, D. (1993) Construction of resolvable row-column designs using simulated annealing. Aust. J. Statist., 35, 237-245.
9. John, J. A. and Williams, E. R. (1982) Conjectures for optimal block designs. J. R. Statist. Soc. B, 44, 221-225.
10. _ (1995) Cyclic and Computer Generated Designs. London: Chapman and Hall.
11. Jones, B. and Eccleston, J. A. (1980) Exchange and interchange procedures to search for optimal designs. J. R. Statist. Soc. B, 42, 238-243.
12. Shah, K. R. (1960) Optimality criteria for incomplete block designs. Ann. Math. Statist., 31, 791-794.