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Block designs for variety trials

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

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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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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