agridat (version 1.5)

eden.potato: Potato yields in response to potash and nitrogen fertilizer

Description

Potato yields in response to potash and nitrogen fertilizer. Data from Fisher's 1929 paper Studies in Crop Variation 6. A different design was used each year.

Usage

data(eden.potato)

source

T Eden and R A Fisher, 1929. Studies in Crop Variation. VI. Experiments on the response of the potato to potash and nitrogen. Journal of Agricultural Science, 19: 201-213. http://digital.library.adelaide.edu.au/coll/special/fisher/78.pdf

Details

The data is of interest to show the gradual development of experimental designs in agriculture. In 1925/1926 the potato variety was Kerr's Pink. In 1927 Arran Comrade. In the 1925a/1926a qualitative experiments, the treatments are O=None, S=Sulfate, M=Muriate, P=Potash manure salts. The design was a Latin Square. The 1925/1926b/1927 experiments were RCB designs with treatment codes defining the amount and type of fertilizer used. Note: the 't' treatment was not defined in the original paper.

References

McCullagh, P. and Clifford, D., (2006). Evidence for conformal invariance of crop yields, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 462, 2119--2143.

Examples

dat <- eden.potato

# 1925 qualitative
d5a <- subset(dat, year=='1925a')
desplot(trt~col*row, d5a, text=yield, cex=1, shorten='no')
anova(m5a <- aov(yield~trt+factor(row)+factor(col), d5a)) # table 2

# 1926 qualitative
d6a <- subset(dat, year=='1926a')
desplot(trt~col*row, d6a, text=yield, cex=1, shorten='no')
anova(m6a <- aov(yield~trt+factor(row)+factor(col), d6a)) # table 4

# 1925 quantitative
d5 <- subset(dat, year=='1925b')
desplot(yield ~ col*row, d5, out1=block, text=trt, cex=1)
# Trt 't' not defined, seems to be the same as 'a'
dotplot(trt~yield|block, d5)
anova(m5 <- aov(yield~trt+block, d5)) # table 6

# 1926 quantitative
d6 <- subset(dat, year=='1926b')
desplot(yield ~ col*row, d6, out1=block, text=trt, cex=1)
anova(m6 <- aov(yield~trt+block, d6)) # table 7

# 1927 qualitative + quantitative
d7 <- droplevels(subset(dat, year==1927))
desplot(yield ~ col*row, d7, out1=block, text=trt, cex=1, col=ptype)

# Table 8.  Anova, mean yield tons / acre
anova(m7 <- aov(yield~trt+block+ptype + ptype:potash, d7))
require("reshape2")
me7 <- melt(d7, measure.vars='yield')
acast(me7, potash~nitro, fun=mean) * 40/2240 # English ton = 2240 lbs
acast(me7, potash~ptype, fun=mean) * 40/2240