The data come from an experiment to study the gain in weight of rats fed on four different diets, distinguished by amount of protein (low and high) and by source of protein (beef and cereal).
WEIGHTGAIN
A data frame with 40 observations on the following 3 variables:
proteinsource
(a factor with levels Beef
and Cereal
)
proteinamount
(a factor with levels High
and Low
)
weightgain
(weight gained in grams)
Hand, D. J., F. Daly, A. D. Lunn, K. J. McConway, and E. Ostrowski. 1994. A Handbook of Small Datasets. Chapman and Hall/CRC, London.
The design of the experiment is a completely randomized design with ten rats in each of the four treatments.
Ugarte, M. D., Militino, A. F., and Arnholt, A. T. 2015. Probability and Statistics with R, Second Edition. London: Chapman & Hall.
ggplot(data = WEIGHTGAIN, aes(x = proteinamount, y = weightgain,
fill = proteinsource)) + geom_boxplot()
aov(weightgain ~ proteinsource*proteinamount, data = WEIGHTGAIN)
#> Call:
#> aov(formula = weightgain ~ proteinsource * proteinamount, data = WEIGHTGAIN)
#>
#> Terms:
#> proteinsource proteinamount proteinsource:proteinamount
#> Sum of Squares 220.9 1299.6 883.6
#> Deg. of Freedom 1 1 1
#> Residuals
#> Sum of Squares 8049.4
#> Deg. of Freedom 36
#>
#> Residual standard error: 14.95307
#> Estimated effects may be unbalanced