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Generalised incomplete Trojan designs

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  • R. N. Edmondson

Abstract

Generalised incomplete (m x n)/k Trojan designs for m replicates of nk treatments based on sets of k cyclic generators are discussed. Normal equations for plots-within-columns, plots-within-blocks and blocks-within-columns treatment effects are developed. The nk treatments are divided into k subsets each of size n and the conditional plots-within-blocks and blocks-within-columns information matrix for each subset is defined. Efficient conditional treatment estimates are discussed and efficient generators for the various strata are discussed. Balanced (m x n)/k incomplete Trojan designs based on Youden generators are constructed and designs based on multiples of a single generator are discussed. Some ideas for constructing efficient general (m x n)/2 designs are outlined and some advantages of generalised incomplete Trojan designs are discussed. Copyright Biometrika Trust 2002, Oxford University Press.

Suggested Citation

  • R. N. Edmondson, 2002. "Generalised incomplete Trojan designs," Biometrika, Biometrika Trust, vol. 89(4), pages 877-891, December.
    • Handle: RePEc:oup:biomet:v:89:y:2002:i:4:p:877-891
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    Cited by:

    1. L. Rob Verdooren, 2020. "History of the Statistical Design of Agricultural Experiments," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 25(4), pages 457-486, December.
    2. Jaggi, Seema & Varghese, Cini & Varghese, Eldho & Sharma, V.K., 2010. "Generalized incomplete Trojan-type designs," Statistics & Probability Letters, Elsevier, vol. 80(7-8), pages 706-710, April.

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