Construction of resolvable designs with nested treatment structure

Biometrical Journal

Volumn 41, Issue 3, 1999, Pages 341-349

  Williams, E R ^a   John, J A ^b  

^a CSIRO   (Australia)

^b UNIVERSITY OF WAIKATO   (New Zealand)

Author keywords

A optimality; Alpha designs; Average efficiency factor; Interchange algorithm; Lattice square designs; Multiple objective function; Nested treatment structure; Resolvable designs; Square lattice designs

Indexed keywords

A-OPTIMALITY; ALPHA DESIGN; AVERAGE EFFICIENCIES; AVERAGE EFFICIENCY FACTOR; EFFICIENCY FACTOR; INTERCHANGE ALGORITHM; LATTICE DESIGN; LATTICE SQUARE DESIGN; MULTIPLE OBJECTIVE FUNCTIONS; NESTED TREATMENT STRUCTURE; RESOLVABLE DESIGNS; SQUARE LATTICE DESIGN; SQUARE LATTICES;

EID: 0040318511     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4036(199906)41:3<341::AID-BIMJ341>3.0.CO;2-Y     Document Type: Article

References (9)

1. COCHRAN, W. G. and COX, G. M., 1957: Experimental Designs, 2nd edition. Wiley, New York.
2. JOHN, J. A. and WHITAKER, D., 1993: Construction of resolvable row-column designs using simulated annealing. Austral. J. Statist 35, 237-245.
3. JOHN, J. A. and WILLIAMS, E. R., 1995: Cyclic and Computer Generated Designs. Chapman and Hall, London.
4. JOHN, J. A. and WILLIAMS, E. R., 1998: t-Latinized designs. Austral. & N.Z. J. Statist 40, 111-118.
5. JOHN, J. A. and WILLIAMS, E. R., 1999: Partially-latinized designs. To appear in Statistics and Computing.
6. PATTERSON, H. D. and WILLIAMS, E. R., 1976: A new class of resolvable incomplete block designs. Biometrika 63, 83-92.
7. WHITAKER, D., WILLIAMS, E. R., and JOHN, J. A., 1997: CycDesigN: A Package for the Computer Generation of Experimental Designs. CSIRO, Canberra.
8. WILLIAMS, E. R. and JOHN, J. A., 1996: A note on optimality in lattice square designs. Biometrika 83, 709-713.
9. WILLIAMS, E. R. and MATHESON, A. C., 1994: Experimental Design and Analysis for Use in Tree Improvement. CSIRO, Melbourne.