The likelihood ratio statistic.
Figure 5.1 illustrates the coverage of the classification rules R1, R2, and R3.
Determine which is the best and worst rule according to:
There are 29 positive examples and 21 negative examples in the data
set. R1 covers 12 positive examples and 3 negative examples. The
expected frequency for the positive class is 15 × 29/50 = 8.7 and the
expected frequency for the negative class is 15×21/50 = 6.3. Therefore,
the likelihood ratio for R1 is
R2 covers 7 positive examples and 3 negative examples. The expected
frequency for the positive class is 10 × 29/50 = 5.8 and the expected
frequency for the negative class is 10 × 21/50 = 4.2. Therefore, the
likelihood ratio for R2 is
R3 covers 8 positive examples and 4 negative examples. The expected
frequency for the positive class is 12 × 29/50 = 6.96 and the expected
frequency for the negative class is 12 × 21/50 = 5.04. Therefore, the
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