Premium
Precision of Estimation of the Treatment Contrasts and the Intra‐block Matrix of Block Designs
Author(s) -
Gupta S. C.
Publication year - 1988
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.4710300409
Subject(s) - block (permutation group theory) , set (abstract data type) , matrix (chemical analysis) , block design , computer science , algorithm , mathematics , design of experiments , mathematical optimization , estimation , design matrix , statistics , engineering , combinatorics , linear model , materials science , systems engineering , composite material , programming language
In many practical situations the experiment is conducted using a block design, and it is desired to estimate a given set of contrasts with variances none of which is greater than a corresponding set of specified variances: In the present paper the form of the intra‐block matrix of a design is, therefore, derived for such situations. Usefulness of the results given is illustrated with the help of examples. The construction of two‐plot block designs is shown to be particularly straightforward.