Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 52
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Piñeros-Niño, Clara Narváez-Cuenca, Carlos-Eduardo Kushalappa, Ajjamada C. and Mosquera, Teresa 2016. Hydroxycinnamic acids in cooked potato tubers fromSolanum tuberosumgroup Phureja. Food Science & Nutrition,

    Sankaran, Sindhuja Khot, Lav R. and Carter, Arron H. 2015. Field-based crop phenotyping: Multispectral aerial imaging for evaluation of winter wheat emergence and spring stand. Computers and Electronics in Agriculture, Vol. 118, p. 372.

    Adebayo, M. A. Menkir, A. Blay, E. Gracen, V. Danquah, E. and Hearne, S. 2014. Genetic analysis of drought tolerance in adapted × exotic crosses of maize inbred lines under managed stress conditions. Euphytica, Vol. 196, Issue. 2, p. 261.

    Freeman, G. H. 2014. Wiley StatsRef: Statistics Reference Online.

    2014. Introduction to Mixed Modelling.

    Kiær, Lars P. Skovgaard, Ib M. and Østergård, Hanne 2012. Effects of inter-varietal diversity, biotic stresses and environmental productivity on grain yield of spring barley variety mixtures. Euphytica, Vol. 185, Issue. 1, p. 123.

    Kristensen, Kristian 2012. Incomplete split-plot designs based on α-designs: a compromise between traditional split-plot designs and randomised complete block design. Euphytica, Vol. 183, Issue. 3, p. 401.

    Mackay, I. Horwell, A. Garner, J. White, J. McKee, J. and Philpott, H. 2011. Reanalyses of the historical series of UK variety trials to quantify the contributions of genetic and environmental factors to trends and variability in yield over time. Theoretical and Applied Genetics, Vol. 122, Issue. 1, p. 225.

    Pixley, Kevin V. Palacios-Rojas, Natalia and Glahn, Raymond P. 2011. The usefulness of iron bioavailability as a target trait for breeding maize (Zea mays L.) with enhanced nutritional value. Field Crops Research, Vol. 123, Issue. 2, p. 153.

    Breure, C.J. 2010. Rate of leaf expansion: A criterion for identifying oil palm (Elaeis guineensis Jacq.) types suitable for planting at high densities. NJAS - Wageningen Journal of Life Sciences, Vol. 57, Issue. 2, p. 141.

    Gonçalves, E St.Aubyn, A and Martins, A 2010. Experimental designs for evaluation of genetic variability and selection of ancient grapevine varieties: a simulation study. Heredity, Vol. 104, Issue. 6, p. 552.

    Musila, Ruth N. Diallo, Alpha O. Makumbi, Dan and Njoroge, Kiarie 2010. Combining ability of early-maturing quality protein maize inbred lines adapted to Eastern Africa. Field Crops Research, Vol. 119, Issue. 2-3, p. 231.

    Caliński, T. Czajka, S. Kaczmarek, Z. Krajewski, P. and Pilarczyk, W. 2009. A mixed model analysis of variance for multi-environment variety trials. Statistical Papers, Vol. 50, Issue. 4, p. 735.

    Zheng, Shusong Byrne, Patrick F. Bai, Guihua Shan, Xueyan Reid, Scott D. Haley, Scott D. and Seabourn, Bradford W. 2009. Association analysis reveals effects of wheat glutenin alleles and rye translocations on dough-mixing properties. Journal of Cereal Science, Vol. 50, Issue. 2, p. 283.

    Caliński, Tadeusz and Kageyama, Sanpei 2008. On the analysis of experiments in affine resolvable designs. Journal of Statistical Planning and Inference, Vol. 138, Issue. 11, p. 3350.

    Kristensen, Kristian and Ericson, Lars 2008. Importance of growth characteristics for yield of barley in different growing systems: will growth characteristics describe yield differently in different growing systems?. Euphytica, Vol. 163, Issue. 3, p. 367.

    Østergård, Hanne Kristensen, Kristian Pinnschmidt, Hans O. Hansen, Preben Klarskov and Hovmøller, Mogens S. 2008. Predicting spring barley yield from variety-specific yield potential, disease resistance and straw length, and from environment-specific disease loads and weed pressure. Euphytica, Vol. 163, Issue. 3, p. 391.

    Gonçalves, Elsa St.Aubyn, António and Martins, Antero 2007. Mixed spatial models for data analysis of yield on large grapevine selection field trials. Theoretical and Applied Genetics, Vol. 115, Issue. 5, p. 653.

    Freeman, G. H. 2006. Encyclopedia of Statistical Sciences.

    Gunjaca, J. Renka, H. Jambresic, I. Sindrak, Z. Safner, T. Liovic, I. and Pecina, M. 2005. 27th International Conference on Information Technology Interfaces, 2005.. p. 194.


Block designs for variety trials

  • H. D. Patterson (a1), E. R. Williams (a2) and E. A. Hunter (a1)
  • DOI:
  • Published online: 01 March 2009

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.

Linked references
Hide All

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.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

The Journal of Agricultural Science
  • ISSN: 0021-8596
  • EISSN: 1469-5146
  • URL: /core/journals/journal-of-agricultural-science
Please enter your name
Please enter a valid email address
Who would you like to send this to? *