In: Statistics and Probability
Suppose Π1 and Π2 be two populations of plants of two distinct
varieties of wheat. The measurements of each member of these two
populations are x1 = plant height x2 = length of ear.
Assuming that these observations were sampled from two-dimensional
normal populations with unknown mean vectors µ1 and µ2, and the
same covariance matrix Σ. The sample mean vectors and pooled
covariance matrix of observations from Π1 and Π2
are:
Use the Hotelling two-sample Τ2 statistic to Test for a difference
in the population mean vectors. (multivariate analysis)