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A new series of \(\mu\)-resolvable \((d+1)\)-associate class GDPBIB designs - MaRDI portal

A new series of \(\mu\)-resolvable \((d+1)\)-associate class GDPBIB designs (Q1283618)

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scientific article; zbMATH DE number 1275954
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English
A new series of \(\mu\)-resolvable \((d+1)\)-associate class GDPBIB designs
scientific article; zbMATH DE number 1275954

    Statements

    A new series of \(\mu\)-resolvable \((d+1)\)-associate class GDPBIB designs (English)
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    18 May 1999
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    Through the patterned method, i.e. using \(M_n\)-matrices, conference matrices, etc. \(\mu\)-resolvable \((d+1)\)-associate (group-divisible) partially balanced incomplete block designs are constructed. Here \(d\) is the number of factors of the number of treatments of the basic balanced incomplete block designs. Note that the patterned method may produce block designs with relatively large values of parameters, and also that the designs are not of practical interest for \(d+1\geq 3\).
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    \(\mu\)-resolvable
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    patterned method
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    partially balanced incomplete block designs
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