Abstract
Precision phenotyping is the evaluation of a genotype’s expression in a given environment with minimum influence of experimental error. This chapter presents the basic principles of experimental designs and lists commonly used experimental designs for phenotyping crop genotypes. Experimental designs include unreplicated designs, incomplete block designs, and variable replication block designs which can also be generated using some selected software. This chapter illustrates some of such experimental designs and key directives of the software which can be used to generate and analyze these designs have also been included.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Agronomix Software, Inc. (1999) Agrobase 99: user’s guide & reference manual. Winnipeg, Manitoba, Canada
Bari A, Street K, Mackey M, Endresen DTF, De Pauw E, Amri A (2012) Focused identification of germplasm strategy (FIGS) detects wheat stem rust resistance linked to environmental variables. Genet Resour Crop Evol 59:1465–1481
Campos H, Heard JE, Ibañez M, Luethy MH, Peters, TJ, Warner D (2011) I.2 Effective and efficient platforms for crop phenotype characterisation under drought. In: Monneveux P, Ribaut JM (eds), Drought phenotyping in crops: from theory to practice. Available at http://generationcp.org/onlinepubls/chapteri1/index.html
Cochran WG, Cox GM (1957) Experimental designs. Wiley, USA
Coombes N (2009) DiGGer design search tool in R. http://www.austatgen.org/software/
Cox DR, Reid N (2000) The theory of the design of experiments. Chapman & Hall/CRC, USA
Cullis BR, Smith AB, Coombes NE (2006) On the design of early generation variety trials with correlated data. J Agric Biol Environ Stat 11:381–393
Das MN (1958) On reinforced incomplete block designs. J Indian Soc Agric Stat 10:73–77
Federer WT (1955) Experimental design: theory and application. Macmillan, New York. (Reprinted by the Oxford and IBH Publishing Co. 1967, 1974)
Federer WT (1961) Augmented designs with one-way elimination of heterogeneity. Biometrics 17:447–473
Federer WT, Raghavarao D (1975) On augmented designs. Biometrics 31:29–35
Federer WT, Raktoe BL (1965) General theory of prime-power lattice designs. Lattice rectangles for v = sm treatments in sr rows and sc columns for r + c = m, r ≠ c, and v <1000. J Am Stat Assoc 60:891–904
Fisher RA (1990) Statistical methods, experimental design, and scientific inference: a re-issue of statistical methods for research workers, the design of experiments, and statistical methods and scientific inference. Oxford University Press, Oxford
Gauch HG (1988) Model selection and validation for yield trials with interaction. Biometrics 44:705–715
Gilmour AR, Cullis BR, Thompson R (2009) ASReml user guide release 3.0. VSN International Ltd, Hemel Hempstead
Hinkelmann K (ed) (2012) Design and analysis of experiments, vol 3, Special Designs and Applications. Wiley, Hoboken
Hinkelmann K, Kempthorne O (2005) Design and analysis of experiments, vol 2, Advanced experimental design. Wiley-Interscience, New York
Hinkelmann K, Kempthorne O (2008) Design and analysis of experiments, vol 1, 2nd edn, Introduction to Experimental Design. Wiley-Interscience, New York
Institute Inc SAS (1989) SAS/STAT user’s guide, version 6, vol 1 & 2, 4th edn. SAS Institute Inc, Cary
Jeffers JNR (1978) Design of experiments. (Statistical Checklist 1). Institute of Terrestrial Ecology, Cambridge, UK
John JA, Williams ER (1995) Cyclic and computer generated designs, 2nd edn. Chapman & Hall, London
Jonh JA, Eccleston JA (1986) Row-columnα-designs. Biometrika 3:301–306
Kempthorne O (1983) The design and analysis of experiments. RE Krieger Publisher, Malabar
Kempton RA (1984) The design and analysis of unreplicated field trials. Vortrage Pflanzenzuchtung 7:219–242
Kiefer J (1959) Optimum experimental designs. J R Stat Soc Ser B 21:272–319
Lin CS, Poshinsky G (1983) A modified augmented design for an early stage of plant selection involving a large number of test lines without replication. Biometrics 39:533–561
Lin CS, Binns MR, Leftkovitch LP (1986) Stability analysis: where do we stand? Crop Sci 26:894–900
Mead R, Curnow RN, Hasted M, Curnow RM (2002) Statistical methods in agriculture and experimental biology, 3rd edn. Chapman & Hall/CRC, UK
Patterson HD, Williams EM (1976) A new class of resolvable incomplete block designs. Biometrika 63:83–92
Patterson HD, Williams ER, Hunter EA (1978) Block designs for variety trials. J Agric Sci Camb 90:395–400
Payne RW (2011) The guide to GenStat® release 14. Part 2: statistics. VSN International, Hemel Hempstead
Pearce SC (1975) Row-and-column designs. Appl Stat 24:60–74
Piepho HP (1997) Analyzing genotype-environment data by mixed models with multiplicative terms. Biometrics 53:761–767
Singh M, Dey A (1979) Block designs with rested rows and column. Biometrika 66:321–326
Singh M, Yau SK, Hamblin J, Porceddu E (1996) Inter-site transferability of crop varieties: another approach for analyzing multi-locational variety trials. Euphytica 89:305–313
Singh M, Malhotra RS, Ceccarelli S, Sarker A, Grando S, Erskine W (2003) Spatial variability models to improve dryland field trials. J Exp Agric 39:151–160
Singh M, Gupta S, Prasad R (2012) Genetic crosses experiments. In: Hinkelmann K (ed) Design and analysis of experiments, vol 3, Special Designs and Applications. Wiley, USA, pp 1–71
Smith AB, Cullis BR, Thompson R (2001) Analyzing variety by environment data using multiplicative mixed models and adjustments for spatial field trend. Biometrics 57:1138–1147
Smith AB, Cullis BR, Thomson R (2005) The analysis of crop cultivar breeding and evaluation trials: an overview of current mixed model approaches. J Agric Sci 143:449–462
Tuberossa R (2011) Phenotyping drought-stressed crops: key concepts, issues and approaches. In: Monneveux P, Ribaut, JM (eds) Drought phenotyping in crops: from theory to practice. Available at http://generationcp.org/onlinepubls/chapteri1/index.html
Westcostt B (1986) Some methods of analyzing genotype-environment interaction. Heredity 56:243–252
Whitaker D, Williams ER, John JA (2002) CycDesigN: a package for the computer generation of experimental designs, version 2. CSIRO Forestry and Forest Products, Canberra
Yates F (1940) Lattice squares. J Agric Sci 30:672–687
Youden WJ (1940) Experimental designs to increase accuracy of greenhouse studies. Contr Boyce Thompson Inst 11:219–228
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Appendix
Appendix
Some key codes used in generating the experimental designs under various tables.
16.1.1 A.16.1 GenStat Code for Table 16.2 (Geno Stands for Genotypes)
AGLATIN [PRINT=design; ANALYSE=Yes] NROWS=6; NSQUARES=1;\
TREATMENTFACTORS=!p(Geno); ROWS=Rows; COLUMNS=Columns; SEED=27257
16.1.2 A.16.2 GenStat Code for Table 16.3 (Rep, Plots, and Geno Stand for Replications or Complete Blocks, Plots Within Block and Genotypes Respectively)
AGHIERARCHICAL [PRINT=design; ANALYSE=Yes;SEED=2534]\
BLOCKFACTORS=Rep,Plots; TREATMENTFACTORS=*,!p(Geno); LEVELS=4,12
16.1.3 A.16.3 R Language Code for Table 16.6
library(DiGGer)
trep <- rep(c(1, 2, 8), c(20, 10, 3))
design <- DiGGer(33, 8, 8, TreatmentRep = trep)
design <- run(design)
getDesign(design)
layout <- getDesign(design)
des.plot(layout, seq(1, 20), col = 5, new = TRUE)
des.plot(layout, seq(21, 30), col = 6, new = FALSE)
des.plot(layout, seq(31, 33), col = 7, new = FALSE)
16.1.4 A.16.4 Further Details on GenStat Menu and R-Program
16.1.4.1 A.16.4.1 Generate an α-Design Using GenStat
To generate randomizations using GenStat statistical package (Payne 2011), go to its “Stats” menu, “Design” sub menu, and then “Select Design …” item (see the screenshot below):
This will pop-up the dialog box listing several special analyses (see the screenshot below):
Select “alpha designs” option, then click “OK” button, and answer the series of questions on number of treatments (within the range 20–100), number of blocks per replication, number of replications, and the labels that should be assigned to the factors. Using the “Spread” menu and further “Data in GenStat” and item from “New” sub menu, one can obtain the randomized plan in the GenStat spreadsheet as shown in the following screenshot. For more than 100 genotypes, one may use CycDesigN software (Whitaker et al. 2002).
The plan in Table 16.4, in 40 genotypes in blocks of size 5 and 3 replications, can be obtained by running the following code:
AGALPHA [PRINT=design] LEVELS=40; NREPLICATES=3; NBLOCKS=8;\
TREATMENTS=Geno;\
REPLICATES=Rep;\
BLOCKS=Blk;\
UNITS=Plot;\
SEED=1592654
16.1.4.2 A.16.4. 2R-Package DiGGer Codes for Table 16.6.
Generate Design for Partial Replications Using DiGGer and R Language:
To use DiGGer tool, one needs to carry out required installation for the R package and download the following zip files “R.methodsS3_*.zip”,Footnote 1 “R.oo_*.zip”,Footnote 2 and “DiGGer_*.zip”Footnote 3 where “*” in the filenames denotes the current version available. Then one may start the R program, go to the “Packages” menu, and select “Install package(s) from local zip files…”. Find the downloaded files and let R install them.
Once DiGGer packages are installed, the following codes are used to generate the experimental design in the Table 16.6.
Rights and permissions
Copyright information
© 2015 Springer India
About this chapter
Cite this chapter
Singh, M., El-Shama’a, K. (2015). Experimental Designs for Precision in Phenotyping. In: Kumar, J., Pratap, A., Kumar, S. (eds) Phenomics in Crop Plants: Trends, Options and Limitations. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2226-2_16
Download citation
DOI: https://doi.org/10.1007/978-81-322-2226-2_16
Published:
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2225-5
Online ISBN: 978-81-322-2226-2
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)