gregory.cotton | R Documentation |
Factorial experiment of cotton in Sudan.
data("gregory.cotton")
A data frame with 144 observations on the following 6 variables.
yield
yield
year
year
nitrogen
nitrogen level
date
sowing date
water
irrigation amount
spacing
spacing between plants
Experiment conducted in Sudan at the Gezira Research Farm in 1929-1930 and 1930-1931. The effects on yield of four factors was studied in all possible combinations.
Sowing dates in 1929: D1 = Jul 24, D2 = Aug 11, D3 = Sep 2, D4 = Sep 25.
Spacing: S1 = 25 cm between holes, S2 = 50 cm, S3 = 75 cm. The usual spacing is 50-70 cm.
Irrigation: I1 = Light, I2 = Medium, I3 = Heavy.
Nitrogen: N0 = None/Control, N1 = 600 rotls/feddan.
In each year there were 4*3*2*2=72 treatments, each replicated four times. The means are given here.
Gregory (1932) has two interesting graphics: 1. radial bar plot 2. photographs of 3D model of treatment means.
Gregory, FG and Crowther, F and Lambert, AR (1932). The interrelation of factors controlling the production of cotton under irrigation in the Sudan. The Journal of Agricultural Science, 22, 617-638. Table 1, 10. https://doi.org/10.1017/S0021859600054137
Paterson, D. Statistical Technique in Agricultural Research, p. 211.
## Not run:
library(agridat)
data(gregory.cotton)
dat <- gregory.cotton
# Main effect means, Gregory table 2
## libs(dplyr)
## dat
## dat
## dat
## dat
# Figure 2 of Gregory. Not recommended, but an interesting exercise.
# https://stackoverflow.com/questions/13887365
if(FALSE){
libs(ggplot2)
d1 <- subset(dat, year=="Y1")
d1 <- transform(d1, grp=factor(paste(date,nitrogen,water,spacing)))
d1 <- d1[order(d1$grp),] # for angles
# Rotate labels on the left half 180 deg. First 18, last 18 labels
d1$ang <- 90+seq(from=(360/nrow(d1))/1.5, to=(1.5*(360/nrow(d1)))-360,
length.out=nrow(d1))+80
d1$ang[1:18] <- d1$ang[1:18] + 180
d1$ang[55:72] <- d1$ang[55:72] + 180
# Lables on left half to right-adjusted
d1$hjust <- 0
d1$hjust[1:18] <- d1$hjust[55:72] <- 1
gg <- ggplot(d1, aes(x=grp,y=yield,fill=factor(spacing))) +
geom_col() +
guides(fill=FALSE) + # no legend for 'spacing'
coord_polar(start=-pi/2) + # default is to start at top
labs(title="gregory.cotton 1929",x="",y="",label="") +
# The bar columns are centered on 1:72, subtract 0.5 to add radial axes
geom_vline(xintercept = seq(1, 72, by=3)-0.5, color="gray", size=.25) +
geom_vline(xintercept = seq(1, 72, by=18)-0.5, size=1) +
geom_vline(xintercept = seq(1, 72, by=9)-0.5, size=.5) +
geom_hline(yintercept=c(1,2,3)) +
geom_text(data=d1, aes(x=grp, y=max(yield), label=grp, angle=ang, hjust=hjust),
size=2) +
theme(panel.background=element_blank(),
axis.title=element_blank(),
panel.grid=element_blank(),
axis.text.x=element_blank(),
axis.text.y=element_blank(),
axis.ticks=element_blank() )
print(gg)
}
## End(Not run)
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