Sugarcane fractional factorial 1/3 3^5
Sugarcane fractional factorial 1/3 3^5.
data("chinloy.fractionalfactorial")A data frame with 81 observations on the following 10 variables.
yieldyield
blockblock
rowrow position
colcolumn position
trttreatment code
Nnitrogen treatment: 0, 1, 2
Pphosphorous treatment: 0, 1, 2
Kpotassium treatment: 0, 1, 2
Bbagasse treatment: 0, 1, 2
Ffilter press mud treatment: 0, 1, 2
An experiment grown in 1949 at the Worthy Park Estate in Jamaica.
Nitrogen was applied as sulphate of ammonia at 0, 3, 6 hundred-weight per acre.
Phosphorous was applied as superphosphate at 0, 4, 8 hundred-weight per acre.
Potassium was applied as muriate of potash at 0, 1, 2 hundred-weight per acre.
Bagasse applied pre-plant at 0, 20, 40 tons per acre.
Filter press mud applied pre-plant at 0, 10, 20 tons per acre.
Each plot was 18 yards long by 6 yards (3 rows) wide. Plots were arranged in nine columns of nine, a 2-yard space separating plots along the rows and two guard rows separating plots across the rows.
Field width: 6 yards * 9 plots + 4 yards * 8 gaps = 86 yards
Field length: 18 yards * 9 plots + 2 yards * 8 gaps = 178 yards
T. Chinloy, R. F. Innes and D. J. Finney. (1953). An example of fractional replication in an experiment on sugar cane manuring. Journ Agricultural Science, 43, 1-11. https://doi.org/10.1017/S0021859600044567
None
## Not run:
library(agridat)
data(chinloy.fractionalfactorial)
dat <- chinloy.fractionalfactorial
# Treatments are coded with levels 0,1,2. Make sure they are factors
dat <- transform(dat,
N=factor(N), P=factor(P), K=factor(K), B=factor(B), F=factor(F))
# Experiment layout
libs(desplot)
desplot(dat, yield ~ col*row,
out1=block, text=trt, shorten="no", cex=0.6,
aspect=178/86,
main="chinloy.fractionalfactorial")
# Main effect and some two-way interactions. These match Chinloy table 6.
# Not sure how to code terms like P^2K=B^2F
m1 <- aov(yield ~ block + N + P + K + B + F + N:P + N:K + N:B + N:F, dat)
anova(m1)
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