X −1 -balance of some partially balanced experimental designs with particular emphasis on block and row-column designs
Biometrical Letters (2015)
- Volume: 52, Issue: 1, page 1-12
- ISSN: 1896-3811
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topRyszard Walkowiak. " X −1 -balance of some partially balanced experimental designs with particular emphasis on block and row-column designs ." Biometrical Letters 52.1 (2015): 1-12. <http://eudml.org/doc/270971>.
@article{RyszardWalkowiak2015,
abstract = {This paper considers block designs and row-column designs where the information matrix C has two different nonzero eigenvalues, one of multiplicity 1 and the other of multiplicity h−1, where h is the rank of the matrix C. It was found that for each such design there exists a diagonal positive definite matrix X such that the design is X −1-balanced.},
author = {Ryszard Walkowiak},
journal = {Biometrical Letters},
keywords = {block design; row-column design; efficiency balance; variance balance; X−1-balance},
language = {eng},
number = {1},
pages = {1-12},
title = { X −1 -balance of some partially balanced experimental designs with particular emphasis on block and row-column designs },
url = {http://eudml.org/doc/270971},
volume = {52},
year = {2015},
}
TY - JOUR
AU - Ryszard Walkowiak
TI - X −1 -balance of some partially balanced experimental designs with particular emphasis on block and row-column designs
JO - Biometrical Letters
PY - 2015
VL - 52
IS - 1
SP - 1
EP - 12
AB - This paper considers block designs and row-column designs where the information matrix C has two different nonzero eigenvalues, one of multiplicity 1 and the other of multiplicity h−1, where h is the rank of the matrix C. It was found that for each such design there exists a diagonal positive definite matrix X such that the design is X −1-balanced.
LA - eng
KW - block design; row-column design; efficiency balance; variance balance; X−1-balance
UR - http://eudml.org/doc/270971
ER -
References
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