Cyclic superimposed designs

W. B. Hall; E. R. Williams

doi:10.1093/biomet/60.1.47

Cyclic superimposed designs

W. B. Hall^*, E. R. Williams

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

SUMMARY: Cyclic incomplete block designs are interpreted as row and column designs and used to define a class of cyclic superimposed designs which exist for any number of treatments and column size. The analysis is presented for two sets of treatments but may be generalized for further sets. Earlier work on the structure of cyclic designs is extended for this class of designs. A table of selected designs is given for 6-15 treatments in column sizes of 4, 5 and 6. Many of these designs are smaller than existing ones yet their efficiencies are comparable.

Original language	English
Pages (from-to)	47-53
Number of pages	7
Journal	Biometrika
Volume	60
Issue number	1
DOIs	https://doi.org/10.1093/biomet/60.1.47
Publication status	Published - Apr 1973
Externally published	Yes

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10.1093/biomet/60.1.47

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abstract = "SUMMARY: Cyclic incomplete block designs are interpreted as row and column designs and used to define a class of cyclic superimposed designs which exist for any number of treatments and column size. The analysis is presented for two sets of treatments but may be generalized for further sets. Earlier work on the structure of cyclic designs is extended for this class of designs. A table of selected designs is given for 6-15 treatments in column sizes of 4, 5 and 6. Many of these designs are smaller than existing ones yet their efficiencies are comparable.",

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author = "Hall, {W. B.} and Williams, {E. R.}",

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AB - SUMMARY: Cyclic incomplete block designs are interpreted as row and column designs and used to define a class of cyclic superimposed designs which exist for any number of treatments and column size. The analysis is presented for two sets of treatments but may be generalized for further sets. Earlier work on the structure of cyclic designs is extended for this class of designs. A table of selected designs is given for 6-15 treatments in column sizes of 4, 5 and 6. Many of these designs are smaller than existing ones yet their efficiencies are comparable.

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KW - Designs for several sets of treatments

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KW - Table of designs

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Cyclic superimposed designs

Abstract

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