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Block designs for variety trials

  • H. D. Patterson (a1), E. R. Williams (a2) and E. A. Hunter (a1)
Abstract
Summary

In this paper we present a series of resolvable incomplete block designs suitable for variety trials with any number of varieties v in the range 20 ≤v ≤ 100. These designs usefully supplement existing square and rectangular lattices. They are not necessarily optimal in the sense of having smallest possible variances but their efficiencies are known to be high.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

B. Harshbarger (1949). Triple rectangular lattices. Biometrics 5, 113.

A. Hedayat (1973). Self orthogonal Latin squares and their importance. Biometrics 29, 393–6.

H. D. Patterson & E. R. Williams (1976). A new class of resolvable incomplete block designs. Biometrika 63, 8392.

E. R. Williams (1977). Iterative analysis of generalized lattice designs. Australian Journal of Statistics 19, 3942.

E. R. Williams & H. D. Patterson (1977). Upper bounds for efficiency factors in block designs. Australian Journal of Statistics (in the Press).

F. Yates (1939). The recovery of inter-block information in variety trials arranged in three dimensional lattices. Annals of Eugenics 9, 136–56.

F. Yates (1940). The recovery of inter-block information in balanced incomplete block designs. Annals of Eugenics 10, 317–25.

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The Journal of Agricultural Science
  • ISSN: 0021-8596
  • EISSN: 1469-5146
  • URL: /core/journals/journal-of-agricultural-science
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