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A model‐independent approach to the theory of experimental designs and a special discussion of bib. i general definition and designs with one or two block factors
Author(s) -
örfer G. Herrend,
Rasch D.
Publication year - 1980
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.4710220204
Subject(s) - block (permutation group theory) , mathematics , property (philosophy) , block design , matrix (chemical analysis) , design of experiments , design matrix , computer science , algorithm , statistics , combinatorics , regression analysis , philosophy , materials science , epistemology , composite material
Experimental designs are definded by introducing an assignment matrix Z. It is shown by block designs and double block designs that using Z or an operator on Z otherwise defined, well known designs can be got as special cases. Till now we didn' find an experimental design which could not be defined by our matrix Z. The definitions of properties of experimental designs can be given independently of the model of the statistical analysis. This is shown for the property of balance of block designs.