Algorithms for the construction of (M,S)-optimal block designs and row-column designs
- 1 February 1981
- journal article
- research article
- Published by Taylor & Francis in Journal of Statistical Computation and Simulation
- Vol. 12 (2) , 93-105
- https://doi.org/10.1080/00949658108810437
Abstract
Algorithms for the generation of (M, S)optimal block and row-column designs are presented. The first algorithm generates the treatment-block incidence matrix of an (M, S)-optimal block design. The second searches for the particular permutation of the rows of an incidence matrix which gives the best possible combination of rows and columns within the row-column design. A row-column design is then obtained by combining the selected treatment-row and treatment-column arrangements using the method of Systems of Distinct Representatives.Keywords
This publication has 4 references indexed in Scilit:
- (M,S)-optimal row-column designsCommunications in Statistics - Theory and Methods, 1980
- Bounds for the efficiency factor of block designsBiometrika, 1977
- Some Generalizations of Distinct Representatives with Applications to Statistical DesignsThe Annals of Mathematical Statistics, 1966
- Some Experimental Designs of Use in Changing from One Set of Treatments to Another: Part II. Existence of the DesignsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1957