Split-split-plot experiment of wheat

Usage

data("goulden.splitsplit")

Format

A data frame with 160 observations on the following 9 variables.

row: row
col: column
yield: yield
inoc: inoculate
trt: treatment number
gen: genotype
dry: dry/wet dust application
dust: dust treatment
block: block

Details

An interesting split-split plot experiment in which the sub-plot treatments have a 2*5 factorial structure.

An experiment was conducted in 1932 on the experimental field of the Dominion Rust Research Laboratory. The study was designed to determine the effect on the incidence of root rot, of variety of wheat, kinds of dust for seed treatment, method of application of the dust, and efficacy of soil inoculation with the root-rot organism.

The field had 4 blocks.

Each block has 2 whole plots for the genotypes.

Each whole-plot had 10 sub-plots for the 5 different kinds of dust and 2 methods of application.

Each sub-plot had 2 sub-sub-plots, one for inoculated soil and the other one for uninoculated soil.

Source

C. H. Goulden, (1939). Methods of statistical analysis, 1st ed. Page 18. https://archive.org/stream/methodsofstatist031744mbp

References

None

Examples

if (FALSE) { # \dontrun{

library(agridat)
data(goulden.splitsplit)
dat <- goulden.splitsplit

libs(desplot)

## Experiment design. Goulden p. 152-153
## desplot(gen ~ col*row, data=dat,
##         out1=block, out2=trt, text=dust, col=inoc, cex=1,
##         main="goulden.splitsplit")

desplot(dat, yield ~ col*row, 
        out1=block, out2=gen,
        col=inoc, num=trt, cex=1,
        main="goulden.splitsplit")


# Match Goulden table 40
m1 <- aov(yield ~ gen
          + dust + dry + dust:dry + gen:dust + gen:dry + gen:dust:dry
          + inoc + inoc:gen + inoc:dust + inoc:dry
          + inoc:dust:dry +inoc:gen:dust + inoc:gen:dry
          + Error(block/(gen+gen:dust:dry+gen:inoc:dry)), data=dat)
summary(m1)

} # }