The Cork Dataset
Thickness of cork borings in four directions of North, South, East, and West are measured for 28 trees. The problem here is to examine if the bark deposit is same in all the directions.
data(cork)
A data frame with 28 observations on the following 4 variables.
North
thickness of cork boring in the North direction
East
thickness of cork boring in the East direction
South
thickness of cork boring in the South direction
West
thickness of cork boring in the West direction
Rao, C. R. (1973). Linear Statistical Inference and Its Applications, 2e. J. Wiley.
data(cork) corkcent <- cork*0 corkcent[,1] <- cork[,1]-mean(cork[,1]) corkcent[,2] <- cork[,2]-mean(cork[,2]) corkcent[,3] <- cork[,3]-mean(cork[,3]) corkcent[,4] <- cork[,4]-mean(cork[,4]) corkcentsvd <- svd(corkcent) t(corkcentsvd$u)%*%corkcentsvd$u t(corkcentsvd$v)%*%corkcentsvd$v round(corkcentsvd$u %*% diag(corkcentsvd$d) %*% t(corkcentsvd$v),2) round(corkcent,2) corkcentsvd$d
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