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Existence of variance-balanced binary designs with fewer experimental units - MaRDI portal

Existence of variance-balanced binary designs with fewer experimental units (Q1116246)

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scientific article; zbMATH DE number 4088769
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English
Existence of variance-balanced binary designs with fewer experimental units
scientific article; zbMATH DE number 4088769

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    Existence of variance-balanced binary designs with fewer experimental units (English)
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    1988
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    \textit{G. G. Agarwal} and \textit{S. Kumar} [Aust. J. Stat. 28, 251-255 (1986; Zbl 0591.62066)] constructed variance-balanced (VB) ternary designs of \(\nu\) treatments with a considerable reduction in number of experimental units as compared to the other existing block designs when \(\nu\)-1 is a prime. In this note, we shall show the existence of VB binary designs which make a further reduction in the number of experimental units.
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    balanced incomplete block design
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    BIB design
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    binary designs
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    variance- balanced (VB) ternary designs
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    reduction in number of experimental units
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