kempton.slatehall | R Documentation |
Yields for a Slate Hall Farm 1976 spring wheat trial.
A data frame with 150 observations on the following 5 variables.
rep
rep, 6 levels
row
row
col
column
gen
genotype, 25 levels
yield
yield (grams/plot)
The trial was a balanced lattice with 25 varieties in 6 replicates, 10 ranges of 15 columns. The plot size was 1.5 meters by 4 meters. Each row within a rep is an (incomplete) block.
Field width: 15 columns * 1.5m = 22.5m
Field length: 10 ranges * 4m = 40m
R A Kempton and P N Fox. (1997). Statistical Methods for Plant Variety Evaluation, Chapman and Hall. Page 84.
Julian Besag and David Higdon. 1993. Bayesian Inference for Agricultural Field Experiments. Bull. Int. Statist. Table 4.1.
Gilmour, Arthur R and Robin Thompson and Brian R Cullis. (1994). Average Information REML: An Efficient Algorithm for Variance Parameter Estimation in Linear Mixed Models, Biometrics, 51, 1440-1450.
## Not run:
library(agridat)
data(kempton.slatehall)
dat <- kempton.slatehall
# Besag 1993 figure 4.1 (left panel)
libs(desplot)
grays <- colorRampPalette(c("#d9d9d9","#252525"))
desplot(dat, yield ~ col * row,
aspect=40/22.5, # true aspect
num=gen, out1=rep, col.regions=grays, # unknown aspect
main="kempton.slatehall - spring wheat yields")
# ----------
# Incomplete block model of Gilmour et al 1995
libs(lme4, lucid)
dat <- transform(dat, xf=factor(col), yf=factor(row))
m1 <- lmer(yield ~ gen + (1|rep) + (1|rep:yf) + (1|rep:xf), data=dat)
vc(m1)
## groups name variance stddev
## rep:xf (Intercept) 14810 121.7
## rep:yf (Intercept) 15600 124.9
## rep (Intercept) 4262 65.29
## Residual 8062 89.79
# ----------
if(require("asreml", quietly=TRUE)){
libs(asreml,lucid)
# Incomplete block model of Gilmour et al 1995
dat <- transform(dat, xf=factor(col), yf=factor(row))
m2 <- asreml(yield ~ gen, random = ~ rep/(xf+yf), data=dat)
lucid::vc(m2)
## effect component std.error z.ratio constr
## rep!rep.var 4262 6890 0.62 pos
## rep:xf!rep.var 14810 4865 3 pos
## rep:yf!rep.var 15600 5091 3.1 pos
## R!variance 8062 1340 6 pos
# Table 4
# asreml4
# predict(m2, data=dat, classify="gen")$pvals
}
## End(Not run)
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