Growth of Apple Trees from Different Root Stocks
In a classic experiment carried out from 1918 to 1934, growth of apple trees of six different rootstocks were compared on four measures of size.
data(RootStock)
A data frame with 48 observations on the following 5 variables.
rootstocka factor with levels 1 2 3 4 5 6
girth4a numeric vector: trunk girth at 4 years (mm x 100)
ext4a numeric vector: extension growth at 4 years (m)
girth15a numeric vector: trunk girth at 15 years (mm x 100)
weight15a numeric vector: weight of tree above ground at 15 years (lb x 1000)
This is a balanced, one-way MANOVA design, with n=8 trees for each rootstock.
Andrews, D. and Herzberg, A. (1985). Data: A Collection of Problems from Many Fields for the Student and Research Worker Springer-Verlag, pp. 357–360.
Rencher, A. C. (1995). Methods of Multivariate Analysis. New York: Wiley, Table 6.2
data(RootStock) ## maybe str(RootStock) ; plot(RootStock) ... root.mod <- lm(cbind(girth4, ext4, girth15, weight15) ~ rootstock, data=RootStock) Anova(root.mod) pairs(root.mod) # test two orthogonal contrasts among the rootstocks hyp <- matrix(c(2,-1,-1,-1,-1,2, 1, 0,0,0,0,-1), 2, 6, byrow=TRUE) linearHypothesis(root.mod, hyp) heplot(root.mod, hypotheses=list(Contrasts=hyp, C1=hyp[1,], C2=hyp[2,])) heplot1d(root.mod, hypotheses=list(Contrasts=hyp, C1=hyp[1,], C2=hyp[2,]))
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