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

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Presentation on theme: "Past and Present Issues in the Design of Variety Trials IAMFE, Denmark 2008 Johannes Forkman Swedish University of Agricultural Sciences."— Presentation transcript:

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

3 www.slu.se Outline 1.Breeding Trials 2.Interference and Competition 3.Spatial Design

4 Swedish University of Agricultural Sciences www.slu.se Breeding Trials Large number of entries Objective: Selection The entries could be modeled as random Correlated by pedigree

5 Swedish University of Agricultural Sciences www.slu.se Multiple Lattice Design 514174136C1239 C4892018C5107C319 162C210111513161112 61915C3C541720118 3C11127145C28C4 Replicate I Replicate II

6 Swedish University of Agricultural Sciences www.slu.se Multiple Lattice Design C329C2262124C3C132C4 38C12332C53722263538 2737302434C54027C231 28253140333930232133 353639C4322825342936 Replicate I Replicate II

7 Swedish University of Agricultural Sciences www.slu.se 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)

8 Swedish University of Agricultural Sciences www.slu.se Related entries Split-plot design with related entries on whole plots? Maximize the number of groups per whole plot? Alpha design?

9 Swedish University of Agricultural Sciences www.slu.se Related entries Alpha Design More correct ranking of the entries

10 Swedish University of Agricultural Sciences www.slu.se Interference and Competition

11 Swedish University of Agricultural Sciences www.slu.se Interference Groups 1. Short varieties: A, B 2. Medium sized varieties: C, D, E, F, G 3. Tall varieties: H, I

12 Swedish University of Agricultural Sciences www.slu.se ACDEHIFGB 122233221 FGBACDEHI 221122233 IHEDCABGF 332221122 HIFEGBADC 332221122 Initial design Circular permutation Reversion Randomization within groups

13 Swedish University of Agricultural Sciences www.slu.se Interference Groups David and Kempton (1996) Similar varieties are kept together Weakly valid randomization Strong validity requires use of subblocks

14 Swedish University of Agricultural Sciences www.slu.se Covariance Analysis

15 Swedish University of Agricultural Sciences www.slu.se Covariance Analysis Use average difference in height as a covariate Guard plots at the ends of the blocks

16 Swedish University of Agricultural Sciences www.slu.se Covariance Analysis 65 spring wheat trials: 4% per decimeter 5 triticale trials: 2% per decimeter 17 barley trials: 3.5% per decimeter

17 Swedish University of Agricultural Sciences www.slu.se Neighbour-Balanced Design I ABCDE II ACEBD III ADBEC IV AEDCB

18 Swedish University of Agricultural Sciences www.slu.se Inter-Block Randomization I ABCDE II ACEBD III ADBEC IV AEDCB

19 Swedish University of Agricultural Sciences www.slu.se Neighbour-Balanced Design I ABCDE II AEDCB III ACEBD IV ADBEC

20 Swedish University of Agricultural Sciences www.slu.se Circular Permutation I ABCDE II AEDCB III ACEBD IV ADBEC

21 Swedish University of Agricultural Sciences www.slu.se Neighbour-Balanced Design I CDEAB II DCBAE III CEBDA IV BECAD

22 Swedish University of Agricultural Sciences www.slu.se Border Plots I BCDEABC II EDCBAED III ACEBDAC IV DBECADB

23 Swedish University of Agricultural Sciences www.slu.se Neighbour-Balanced Design Strongly valid randomization

24 Swedish University of Agricultural Sciences www.slu.se Partially Neighbour-Balanced Design I GJHILDCEBFKAGJ II IKDJCABLGFHEIK III JIAHBKGCFDELJI

25 Swedish University of Agricultural Sciences www.slu.se Spatial Design I II III Classical analysis Spatial analysis I II III

26 Swedish University of Agricultural Sciences www.slu.se Spatial Design Blocks, rows and columns are not needed?

27 Swedish University of Agricultural Sciences www.slu.se Spatial Design Blocks reduce the variance Restrictions should be taken into account in the analysis Restricted randomization within blocks

28 Swedish University of Agricultural Sciences www.slu.se IV III II I 2-Latinized Row-Column Design

29 Swedish University of Agricultural Sciences www.slu.se Spatial Design Design Analysis

30 Swedish University of Agricultural Sciences www.slu.se Thank you for your attention!

31 Swedish University of Agricultural Sciences www.slu.se 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.

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