Past and Present Issues in the Design of Variety Trials

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Presentation transcript:

Past and Present Issues in the Design of Variety Trials IAMFE, Denmark 2008 Johannes Forkman Swedish University of Agricultural Sciences

Outline Breeding Trials Interference and Competition Spatial Design

Breeding Trials Large number of entries Objective: Selection The entries could be modeled as random Correlated by pedigree

Multiple Lattice Design Replicate I Replicate II 5 14 17 4 13 6 C1 2 3 9 C4 8 20 18 C5 10 7 C3 19 16 C2 11 15 12 1

Multiple Lattice Design Replicate I Replicate II C3 29 C2 26 21 24 C1 32 C4 38 23 C5 37 22 35 27 30 34 40 31 28 25 33 39 36

Alpha Design A family of resolvable incomplete block designs introduced by Patterson and Williams (1976) Requires less plots than multiple lattice designs More efficient than multiple lattice designs (Piepho, Büchse and Truberg, 2006)

Related entries Split-plot design with related entries on whole plots? Maximize the number of groups per whole plot? Alpha design?

Related entries Alpha Design More correct ranking of the entries

Interference and Competition

Interference Groups Short varieties: A, B 2. Medium sized varieties: C, D, E, F, G 3. Tall varieties: H, I

A C D E H I F G B 1 2 3 Initial design Circular permutation Reversion Randomization within groups

Interference Groups David and Kempton (1996) Similar varieties are kept together Weakly valid randomization Strong validity requires use of subblocks

Covariance Analysis

Covariance Analysis Use average difference in height as a covariate Guard plots at the ends of the blocks

Covariance Analysis 65 spring wheat trials: 4% per decimeter 5 triticale trials: 2% per decimeter 17 barley trials: 3.5% per decimeter

Neighbour-Balanced Design II III IV

Inter-Block Randomization II III IV

Neighbour-Balanced Design II III IV

Circular Permutation I A B C D E II III IV

Neighbour-Balanced Design II III IV

Border Plots I B C D E A II III IV

Neighbour-Balanced Design Strongly valid randomization

Partially Neighbour-Balanced Design J H L D C E B F K A II III

Spatial Design Classical analysis Spatial analysis I II III I II III

Spatial Design Blocks, rows and columns are not needed?

Spatial Design Blocks reduce the variance Restrictions should be taken into account in the analysis Restricted randomization within blocks

2-Latinized Row-Column Design IV III II I

Spatial Design Design Analysis

Thank you for your attention!

References Åssveen, M. 1991. Konkurranseeffekter i bygg (Hordeum vulgare L.) Doctor Scientiarum Theses 1991:20. Agricultural University of Norway. Azaїs, J.-M., Bailey, R. A. and Monod H. 1993. A catalogue of efficient neighbour-designs with border plots. Biometrics 49, 1252-1261. Clarke, F. R., Baker, R. J. and DePauw, R. M. 1999. Using height to adjust for interplot interference in spring wheat yield trials. Canadian Journal of Plant Science 79 (2), 169-174. David, O. and Kempton, R. A. 1996. Designs for interference. Biometrics 52, 597-606. John, J. A. and Williams, E. R. 1998. t-Latinized designs. Australian and New Zealand Journal of Statistics 40, 111-118. Kempton, R. A., Gregory, R. S., Hughes, W. G. and Stoehr, P. J. 1986. The effect of interplot competition on yield assessment in triticale trials. Euphytica 35, 257-265. Patterson, H. D. and Williams E. R. 1976. A new class of resolvable block designs. Biometrika 63, 83-92. Piepho, H. P., Büchse, A. and Truberg B. 2006. On the use of multiple designs and a-designs in plant breeding trials. Plant Breeding 125, 523-528. Piepho, H. P. and Williams, E. R. 2006. A comparison of experimental designs for selection in breeding trials with nested treatment structure. Theoretical and Applied Genetics 113, 1505-1513. Williams, E. R: 1985. A criterion for the construction of optimal neighbour designs. Journal of the Royal Statistical Society B 47, 489-497. Williams, E. R., John, J. A. and Whitaker D. 2006. Construction of resolvable spatial row-column designs. Biometrics 62, 103-108.