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Reinforced block designs with standards

✍ Scribed by Henryk Brzeskwiniewicz; Bronisław Ceranka; Jolanta Krzyszkowska

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
210 KB
Volume
34
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis

Our aim is to present some new procedures for constructing the reinforced block designs introduced by Das (1958). This work contributes to the theory of connected block designs supplemented by one or more additional treatments and blocks. Such designs are widely used in practice, particularly in agriculture and medicine, where one or more additional treatments called control or standard treatments are often introduced. The basic and additional treatments are replicated in such a way that the requirement of constant number of replications is preserved for both groups of treatments. The reinforced block designs are discussed from the point of view of the properties of so-called information matrix C. The spectral form of C is used.

Keywords." Balanced incomplete block designs; Partially balanced incomplete block designs; Reinforced block designs '

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