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This is the Oats dataset provided in the nlme package, but it is rearranged as one multivariate observation per plot.

Usage

MOats

Format

A data frame with 18 observations and 3 variables

Variety

a factor with levels Golden Rain, Marvellous, Victory

Block

an ordered factor with levels VI < V < III < IV < II < I

yield

a 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