D-optimality of the dual of BIB designs

BIB designs are shown to be D-optimal for the joint estimation of treatment contrasts and block contrasts over the class of all connected designs with v treatments in b blocks and a total of n observations. As a result, the dual of any BIB design is seen to be D-optimal for the estimation of treatme...

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Bibliographic Details
Published inStatistics & probability letters Vol. 14; no. 3; pp. 201 - 203
Main Author Pohl, Gerhardt M.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 24.06.1992
Elsevier
SeriesStatistics & Probability Letters
Subjects
BIB designs
D-optimality
D-optimality BIB designs dual designs two-factor designs
dual designs
Exact sciences and technology
Experimental design
Mathematics
Probability and statistics
Sciences and techniques of general use
Statistics
two-factor designs
BIB designs
dual designs
D-optimality
two-factor designs
Statistical contrast
Incomplete block design
Treatment
Balanced design
Optimal design
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Summary:BIB designs are shown to be D-optimal for the joint estimation of treatment contrasts and block contrasts over the class of all connected designs with v treatments in b blocks and a total of n observations. As a result, the dual of any BIB design is seen to be D-optimal for the estimation of treatment contrasts alone over the class of all connected designs with v treatments in b blocks of size k.
ISSN:0167-7152
1879-2103
DOI:10.1016/0167-7152(92)90022-W