Soil Compositions of Physical and Chemical Characteristics
Soil characteristics were measured on samples from three types of contours (Top, Slope, and Depression) and at four depths (0-10cm, 10-30cm, 30-60cm, and 60-90cm). The area was divided into 4 blocks, in a randomized block design. (Suggested by Michael Friendly.)
These data provide good examples of MANOVA and canonical discriminant analysis in a somewhat
complex multivariate setting. They may be treated as a one-way design (ignoring
by using either
Gp as the factor, or a two-way randomized block
Depth (quantitative, so orthogonal
polynomial contrasts are useful).
A data frame with 48 observations on the following 14 variables. There are 3 factors and 9 response variables.
a factor with 12 levels, corresponding to the combinations of
a factor with 3 levels:
a factor with 4 levels:
a factor with 12 levels, giving abbreviations for the groups:
a factor with levels
total nitrogen in %
bulk density in gm/cm$^3$
total phosphorous in ppm
calcium in me/100 gm.
magnesium in me/100 gm.
phosphorous in me/100 gm.
sodium in me/100 gm.
Khattree, R., and Naik, D. N. (2000) Multivariate Data Reduction and Discrimination with SAS Software. SAS Institute.
Friendly, M. (2006) Data ellipses, HE plots and reduced-rank displays for multivariate linear models: SAS software and examples. Journal of Statistical Software, 17(6), http://www.jstatsoft.org/v17/i06.