Biology Reference
In-Depth Information
bution and arrange them in a
(
K
2
matrix. Call this
1)
matrix
Z
.
STEP 3: Calculate
Y
CZ
. The matrix
Y
is a (
K
-
1
)
M
K
-1
2
matrix.
STEP 4: Construct a
K
2
matrix
X
by adding the
K
-th row to
the
Y
matrix such that the sum of each column is zero. That
is, the
K
-th row element of a column is obtained by simply
adding the preceding (
K
-
1
) elements and multiplying the sum
by -1. The matrix
X
so obtained is a realization from the
matrix normal distribution with mean
M
and covariance
K
*
I
D
.
STEP 4: Repeat STEPS 1-3 as many number of times as the
required number of observations.
For a three dimensional object, replace the STEP 2 above by:
STEP 2: Generate
3
(
K-1
) random numbers from
N
(0,1)
distri-
bution and arrange them in a
(
K
3
matrix.
1)
Search WWH ::
Custom Search