Dear colleagues,

I'm trying to figure out how to break down shape differences onto
individual PC axes.  I have a morphospace where PC1 explains 60% of shape
variation and PC2 explains 20% of variation. Two subsets of samples of
particular interest do not differ much along PC1, but differs significantly
along PC2. How should I project the shape difference between these subsets
onto seperate PC axes, such that I can quantitatively show X% of shape
difference between them are along PC1 and Y% is along PC2?

A simple vector projection (i.e. using the mean difference of PC1 score and
PC2 score) doesn't feel right to me as I don't think PC scores are directly
comparable between different PCs.

Any suggestions would be greatly appreciated.

Many thanks for your time.

Yinan Hu
Postdoctoral fellow
Biology Department
Boston College
140 Commonwealth Ave, 360 Higgins Hall
Chestnut Hill, MA 02467

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