The linear discriminant rule, defined on the remaining
12 variables (excluding
and
)
is applied.
After reclassifying the 506 observations, we obtain an apparent error
rate of 0.146. The details are given in Table 12.1.
The more appropriate error rate, given by the AER, is 0.160
(see Table 12.2).
Let us now turn to a group definition suggested by the Cluster Analysis
in Section 11.4. Group was defined by higher quality of
life and house. We define the linear
discriminant rule using the 13 variables from
excluding
. Then we reclassify the 506 observations and
we obtain an APER of 0.0395. Details are summarized in Table 12.3.
The AER turns out to be 0.0415 (see Table 12.4).
Figure 12.3 displays the values of the linear discriminant scores
(see Theorem 12.2) for all of the 506 observations, colored by
groups. One can clearly see the APER is derived from
the 7 observations from group
with a negative score and the 13 observations from group
with positive score.
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