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Sequentially Generated Designs
Author(s) -
Vuchkov I. N.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240805
Subject(s) - block (permutation group theory) , optimal design , algorithm , block design , design of experiments , process (computing) , mathematics , computer science , mathematical optimization , statistics , combinatorics , programming language
Procedures for sequential generation of nearly D ‐optimal designs are described. Two kinds of designs can be obtained: symmetrical block designs and nonsymmetrical ones. It is shown that in a special case when the number of the support points of a continuous D ‐optimal design equals to the number of regression coefficients the sequential designs can be constructed very easy without use of a computer. A Catalogue containing 135 designs has been developed by use of these procedures. 34 of them can be used for experiments in cuboidal factor space and the remaining for experiments with mixture and process variables. Comparison with other designs is done.