Classical N, P, K Factorial Experiment
A classical N, P, K (nitrogen, phosphate, potassium) factorial
experiment on the growth of peas conducted on 6 blocks. Each half of a
fractional factorial design confounding the NPK interaction was used
on 3 of the plots.
npk data frame has 24 rows and 5 columns:
which block (label 1 to 6).
indicator (0/1) for the application of nitrogen.
indicator (0/1) for the application of phosphate.
indicator (0/1) for the application of potassium.
Yield of peas, in pounds/plot (the plots were (1/70) acre).
Imperial College, London, M.Sc. exercise sheet.
Venables, W. N. and Ripley, B. D. (2002)
Modern Applied Statistics with S. Fourth edition. Springer.
options(contrasts = c("contr.sum", "contr.poly"))
npk.aov <- aov(yield ~ block + N*P*K, npk)
options(contrasts = c("contr.treatment", "contr.poly"))
npk.aov1 <- aov(yield ~ block + N + K, data = npk)
se.contrast(npk.aov1, list(N=="0", N=="1"), data = npk)
model.tables(npk.aov1, type = "means", se = TRUE)