Information Technology Reference
In-Depth Information
Figure 5.20
Circular prediction of the point P with the prediction biplot axis for original
variable
Y
.
constructing prediction biplot axes then coincide with the prediction biplot axes described
in Chapter 3.
For Pythagoras distance, it follows that
1
2
[
11
{
diag
(
XX
)
}+{
diag
(
XX
)
}
11
−
2
XX
],
D
=−
(5.20)
and the matrix
B
defined in (5.7) can be written as
{
diag
(
XX
)
}
11
)
I
−
n
11
n
11
)(
XX
−
1
1
2
11
{
diag
(
XX
)
}−
1
2
1
B
=
(
I
−
=
XX
−
(
1x
)
X
−
X
(
x1
)
+
1x
x1
.
