Data from an Oats Field Trial
The yield of oats from a split-plot field trial using three varieties and
four levels of manurial treatment. The experiment was laid out in 6 blocks
of 3 main plots, each split into 4 sub-plots. The varieties were applied
to the main plots and the manurial treatments to the sub-plots.
This data frame contains the following columns:
Blocks, levels I, II, III, IV, V and VI.
Varieties, 3 levels.
Nitrogen (manurial) treatment, levels 0.0cwt, 0.2cwt, 0.4cwt and 0.6cwt,
showing the application in cwt/acre.
Yields in 1/4lbs per sub-plot, each of area 1/80 acre.
Yates, F. (1935) Complex experiments,
Journal of the Royal Statistical Society Suppl.
Also given in
Yates, F. (1970)
Experimental design: Selected papers of Frank Yates, C.B.E, F.R.S.
Venables, W. N. and Ripley, B. D. (2002)
Modern Applied Statistics with S. Fourth edition. Springer.
oats$Nf <- ordered(oats$N, levels = sort(levels(oats$N)))
oats.aov <- aov(Y ~ Nf*V + Error(B/V), data = oats, qr = TRUE)
summary(oats.aov, split = list(Nf=list(L=1, Dev=2:3)))
par(mfrow = c(1,2), pty = "s")
abline(h = 0, lty = 2)
oats.pr <- proj(oats.aov)
qqnorm(oats.pr[][,"Residuals"], ylab = "Stratum 4 residuals")
qqline(oats.pr[][,"Residuals"])par(mfrow = c(1,1), pty = "m")
oats.aov2 <- aov(Y ~ N + V + Error(B/V), data = oats, qr = TRUE)
model.tables(oats.aov2, type = "means", se = TRUE)
Dataset imported from https://www.r-project.org.