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Weighted A-optimal block designs for comparing test treatments with controls with unequal precision

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Title Weighted A-optimal block designs for comparing test treatments with controls with unequal precision
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Creator V.K. Gupta
D.V.V. Ramana
Rajender Parsad
 
Subject Test treatments-controls comparisons
Weighted A-optimality
Weighted A-efficiency
GBTIB designs
Balanced treatment incomplete block design
Balanced bipartite block designs
 
Description Not Available
The problem of comparing w test treatments with u controls in b blocks of size k(⩽w) each is considered. Conditions under which a design is weighted A-optimal for estimating test treatments vs. controls contrasts with unequal precision are derived, the weights being given according to the relative importance of the controls. A new class of designs called generalised balanced treatment incomplete block (GBTIB) designs has been introduced. A general method of construction of GBTIB designs for two controls is given. Catalogues of weighted A-optimal designs for two controls and weighted A-efficient GBTIB designs are given. A method of construction of GBTIB designs using resolvable balanced incomplete block designs has also been given and illustrated through an example.
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Date 2017-06-28T05:02:12Z
2017-06-28T05:02:12Z
2002-08
 
Type Research Paper
 
Identifier Gupta, V.K., Ramana, D.V.V. and Parsad, Rajender (2002). Weighted A-optimal block designs for comparing test treatments with controls with unequal precision. Special issue of Journal of Statistical Planning and Inference in the memory of Professor Sumiyasu Yamamoto, 106 (1-2), 159-175
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http://krishi.icar.gov.in/jspui/handle/123456789/4491
 
Language English
 
Relation Not Available;
 
Publisher Not Available