Database Reference
In-Depth Information
3R su s
Results are presented in Tables 3 to 5. Each table row represents one of the
combinations of a more specific and more general rule. The right-most columns
present win/draw/loss summaries of the number of times the relevant differ-
ence between values is respectively positive, equal, or negative. The first of
these columns relates to Hypothesis 1. The second relates to Hypothesis 2. Each
win/draw/loss record is followed by the outcome of a one-tailed sign test repre-
senting the probability of obtaining those results by chance. Where rules
x
and
y
are identical for a data set, or where one of the rules made no decisions on the
unseen data, no result has been recorded. Hence not all win/draw/loss records
sum to 50.
Table 3.
Results for initial rule is C4.5rules rule with most coverage
|α − x| > |α − y| β − x| < |β − y|
x
y
w:d:l
p
w:d:l
p
Most Specific
Combined
27:15: 5
<
0
.
001 21:15:11
0.055
Most Specific
Random MG
29:14: 4
<
0
.
001 23:14:10
0.017
Most Specific
Initial
33:10: 4
<
0
.
001
28:10: 9
0.001
Combined
Random MG
8: 9: 0
0.004
8: 9: 0
0.004
Note:
x
represents the accuracy of rule
x
on the test data.
y
represents the accuracy
of rule
y
on the test data.
β
represents the accuracy of rules
x
and
y
on the training
data (both rules cover the same training cases and hence have identical accuracy
on the training data).
α
represents the accuracy of the default rule on the test data.
Table 4.
Results for initial rule is C4.5rules first rule
|α − x| > |α − y| β − x| < |β − y|
x
y
w:d:l
p
w:d:l
p
Most Specific
Combined
16:13: 9
0.115
17:13: 8
0.054
Most Specific
Random MG
19:10: 9
0.044
20:10: 8
0.018
Most Specific
Initial
20: 9: 9
0.031
21: 9: 8
0.012
Combined
Random MG
5: 5: 1
0.109
5: 5: 1
0.109
See Table 3 for abbreviations.
Table 5.
Results for initial rule is random rule
|α − x| > |α − y| β − x| < |β − y|
x
y
w:d:l
p
w:d:l
p
Most Specific
Combined
26: 5:12
0.017
21: 5:17
0.314
Most Specific
Random MG
26: 5:12
0.017
21: 5:17
0.314
Most Specific
Initial
26: 5:12
0.017
21: 5:17
0.314
Combined
Random MG
0: 2: 1
1.000
1: 2: 0
1.000
See Table 3 for abbreviations.
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