This is the Oats dataset provided in the nlme package, but it is
rearranged as one multivariate observation per plot.
Format
A data frame with 18 observations and 3 variables
Varietya factor with levels
Golden Rain,Marvellous,VictoryBlockan ordered factor with levels
VI<V<III<IV<II<Iyielda matrix with 4 columns, giving the yields with nitrogen concentrations of 0, .2, .4, and .6.
Source
The dataset Oats in the nlme package.
Details
These data arise from a split-plot experiment reported by Yates (1935) and used as an example in Pinheiro and Bates (2000) and other texts. Six blocks were divided into three whole plots, randomly assigned to the three varieties of oats. The whole plots were each divided into 4 split plots and randomized to the four concentrations of nitrogen.
References
Pinheiro, J. C. and Bates D. M. (2000) Mixed-Effects Models in S and S-PLUS, Springer, New York. (Appendix A.15)
Yates, F. (1935) Complex experiments, Journal of the Royal Statistical Society Suppl. 2, 181-247
Examples
MOats.lm <- lm (yield ~ Block + Variety, data = MOats)
MOats.rg <- ref_grid (MOats.lm, mult.name = "nitro")
emmeans(MOats.rg, ~ nitro | Variety)
#> Variety = Golden Rain:
#> nitro emmean SE df lower.CL upper.CL
#> 0 80.0 5.54 10 67.7 92.3
#> 0.2 98.5 6.60 10 83.8 113.2
#> 0.4 114.7 8.70 10 95.3 134.0
#> 0.6 124.8 7.30 10 108.6 141.1
#>
#> Variety = Marvellous:
#> nitro emmean SE df lower.CL upper.CL
#> 0 86.7 5.54 10 74.3 99.0
#> 0.2 108.5 6.60 10 93.8 123.2
#> 0.4 117.2 8.70 10 97.8 136.5
#> 0.6 126.8 7.30 10 110.6 143.1
#>
#> Variety = Victory:
#> nitro emmean SE df lower.CL upper.CL
#> 0 71.5 5.54 10 59.2 83.8
#> 0.2 89.7 6.60 10 75.0 104.4
#> 0.4 110.8 8.70 10 91.5 130.2
#> 0.6 118.5 7.30 10 102.2 134.8
#>
#> Results are averaged over the levels of: Block
#> Confidence level used: 0.95