
348 Data Analysis and Statistics for Geography, Environmental Science, and Engineering
and the following covariance matrices
S
1
0 010 0 008 0 018
0 008 0 160 0 020
0 018 0 020 0 194
−
.. .
.. .
...
(10.60)
S
2
0 013 0 011 0 019
0 011 0 108 0 038
0 019 0 038 0 267
=
−
−
...
.. .
.. .
(10.61)
We calculate the difference vector subtracting the means given in Equation 10.59
DX X==
12
0.53 0.55 0.29−−
(10.62)
and matrix of pooled variances using covariance matrices given in Equations 10.60 and 10.61 using
Equation 10.51
S
p
0.012 0.002 0.001
0.002 0.134 0.009
0.001 0.009 0.230
=
−
−
(10.63)
Now we calculate the inverse
S
p
85.116 ...