Hotelling Trace Coefficient:
The Hotelling Trace coefficient (also called Lawley-Hotelling or Hotelling-Lawley Trace) is a statistic for a multivariate test of mean differences between two groups.
The null hypothesis is that centroid s don´t differ between two groups.
The coefficient is equal to Hotelling´s T-Square divided by (N-m), where N is the total sample size, m is the number of groups.