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For an archaeology project, I have two assemblages of items, each measured in a variety of ways (mass, area, thickness, etc.).

I want to test if the differences between the assemblages are significant.

I am pretty sure I have to use the T-Test, but I am not sure how to apply it, taking into account all of the various attributes of each item. Do I perform the T-Test for each attribute?

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Since you have several measures on each item, this is a multivariate problem. The appropriate test (assuming that your data are approximately multivariate normal) is Hotelling's T^2 test.

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