# Violation of the assumption of equal covariance matrices for two-sample Hotelling's test

I would like to compare nutrient intake of men and women. But the assumption of the same variance-covariance matrix is violated and therefore two-sample Hotelling's $T^2$ test cannot be applied. How else can I compare the intakes?

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According to Stelzl & Schnabel 1992, "Hotelling's $T^2$ ... is known to be robust against a violation of the assumption of equal covariance matrices ... if the two sample sizes are equal" (see their section 2.1). –  amoeba Oct 15 '14 at 23:19