Some sufficient conditions for the E- and MV-optimality of block designs having blocks of unequal size (Q1092569)
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scientific article; zbMATH DE number 4020257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some sufficient conditions for the E- and MV-optimality of block designs having blocks of unequal size |
scientific article; zbMATH DE number 4020257 |
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Some sufficient conditions for the E- and MV-optimality of block designs having blocks of unequal size (English)
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1987
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In this paper we consider experimental situations in which v treatments are to bee tested in b blocks where \(b_ i\) blocks contain \(k_ i\) experimental units, \(i=1,...,p\), \(k_ 1<k_ 2<...<k_ p\). The idea of a group divisible (GD) design is extended to that of a group divisible design with unequal block sizes (GDUB design) and then a number of results concerning the E- and MV-optimality of GD designs are generalized to the case of GDUB designs.
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E-optimality
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incidence matrix
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concurrence matrix
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variance balanced design
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group divisible design
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unequal block sizes
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GDUB design
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MV- optimality
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GD designs
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