shafii.rapeseed | R Documentation |
Rapeseed yield multi-environment trial, 6 genotypes, 3 years, 14 loc, 3 rep
A data frame with 648 observations on the following 5 variables.
year
year, numeric: 87, 88, 89
loc
location, 14 levels
rep
rep, 3 levels
gen
genotype, 6 levels
yield
yield, kg/ha
The data are from the U.S. National Winter Rapeseed trials conducted in 1986, 1987, and 1988. Trial locations included Georgia (GGA, TGA), Idaho (ID), Kansas (KS), Mississippi (MS), Montana (MT), New York (NY), North Carolina (NC), Oregon (OR), South Carolina (SC), Tennessee (TN), Texas (TX), Virginia (VA), and Washington (WA).
SAS codes for the analysis can be found at https://webpages.uidaho.edu/cals-statprog/ammi/index.html
Electronic version from: https://www.uiweb.uidaho.edu/ag/statprog/ammi/yld.data
Used with permission of Bill Price.
Bahman Shafii and William J Price, 1998. Analysis of Genotype-by-Environment Interaction Using the Additive Main Effects and Multiplicative Interaction Model and Stability Estimates. JABES, 3, 335–345. https://doi.org/10.2307/1400587
Matthew Kramer (2018). Using the Posterior Predictive Distribution as a Diagnostic Tool for Mixed Models. Joint Statistical Meetings 2018, Biometrics Section. https://www.ars.usda.gov/ARSUserFiles/3122/KramerProceedingsJSM2018.pdf
Reyhaneh Bijari and Sigurdur Olafsson (2022). Accounting for G×E interactions in plant breeding: a probabilistic approach https://doi.org/10.21203/rs.3.rs-2052233/v1
library(agridat)
data(shafii.rapeseed)
dat <- shafii.rapeseed
dat$gen <- with(dat, reorder(gen, yield, mean))
dat$loc <- with(dat, reorder(loc, yield, mean))
dat$yield <- dat$yield/1000
dat <- transform(dat, rep=factor(rep), year=as.factor(as.character(year)))
dat$locyr = paste(dat$loc, dat$year, sep="")
# The 'means' of reps
datm <- aggregate(yield~gen+year+loc+locyr, data=dat, FUN=mean)
datm <- datm[order(datm$gen),]
datm$gen <- as.character(datm$gen)
datm$gen <- factor(datm$gen,
levels=c("Bienvenu","Bridger","Cascade",
"Dwarf","Glacier","Jet"))
dat$locyr <- reorder(dat$locyr, dat$yield, mean)
libs(lattice)
# This picture tells most of the story
dotplot(loc~yield|gen,group=year,data=dat,
auto.key=list(columns=3),
par.settings=list(superpose.symbol=list(pch = c('7','8','9'))),
main="shafii.rapeseed",ylab="Location")
# AMMI biplot. Remove gen and locyr effects.
m1.lm <- lm(yield ~ gen + locyr, data=datm)
datm$res <- resid(m1.lm)
# Convert to a matrix
libs(reshape2)
dm <- melt(datm, measure.var='res', id.var=c('gen', 'locyr'))
dmat <- acast(dm, gen~locyr)
# AMMI biplot. Figure 1 of Shafii (1998)
biplot(prcomp(dmat), main="shafii.rapeseed - AMMI biplot")
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