Graphics Reference
In-Depth Information
T
−
r
T
−
c
where
A
D
A=B
D
B=I
. hen the space and coordinates for the row points
−
r
are given by
λ
. Note there is a “trivial dimension” which has to be ignored
whichcorrespondstothesingular value ofunitywith singular vectoravectorofones.
he Euclidean distances between the points in the
D
AD
−
r
λ
space equal the corre-
sponding χ
distances between the rows of the table. However, this space has dimen-
sion equal to one less than the number of columns. As an approximation, only the
first two singular values and corresponding singular vectors are used (ignoring the
trivial dimension). Similarly, a space for the columns can be found as
D
AD
−
c
λ
,and
distances between points in this space equal the χ
distances between corresponding
columns in the table.
Figure
shows the space for the rows of the contingency table, and Fig.
.
the
space for the columns of the table.
D
BD
Figure
.
.
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