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readjust) the minimum support and confidence thresholds in light of rule summary
properties, and re-execute Apriori until the results are satisfactory.
Analysis of Sales Transaction Dataset
We apply Apriori method on the Sales Transaction dataset using 5A20C. This
produces 55 rules, which are then condensed as 25 rule summaries using CARS.
Table 4 gives a quick overview of rule quality. In fact, all the rule summaries have
low rule confidence and antecedent support values, suggesting that the 800 products
are too specific such that most do not co-occur frequently. Hence, these products need
to be meaningfully categorized so that there is sufficient number of frequent itemsets
for rule generation.
Table 4. Some of the 25 Rule Summaries generated from the Sales Transaction data set. All the
summaries indicate rules generated are of low support and low confidence.
Consequent
Antecedent
Support Range (%)
Confidence Range (%)
P101
P36*1, P131*1
2.4 - 2.5
20.0 - 20.1
P128
P57*1
2.3 - 2.3
20.4 - 20.4
P40
P101*1, P41*1, P84*1
2.4 - 2.4
20.7 - 20.7
P43
P39*1
2.5 - 2.6
20.1 - 20.3
We re-categorize the 800 products into 211 price-specific product categories. This
results in 4222 rules being generated, which are then condensed as 23 rule summaries.
Table 5 shows some typical rule summaries. The first summary with consequent
“PMP-C1” has a rule confidence of up to 92.1%, suggesting that purchases of certain
types of Portable Media Players (PMPs) are likely to lead to purchases of PMP-C1.
Table 5. Some typical examples of the 23 rule summaries generated after re-assigning the 800
products into 211 price-specific product categories. For simplicity, only the top few highly
frequent antecedents are shown.
Support Range
(%)
Confidence
Range (%)
Consequent
Top Antecedent
PMP-C1
PMP-B1, PMP-A1, PMP-C2
5.0 - 14.5
20.5 - 92.1
PMP-C2
PMP-B1, PMP-C1, PMP-A2, PMP-D3
5.0 - 18.8
20.8 - 85.8
HW-49
PMP-B1, PMP-C1, PMP-A2, PMP-D3
5.0 - 9.7
20.0 - 21.7
PMP-D2
PMP-B1, PMP-A2, PMP-D3
5.0 - 6.2
20.1 - 21.1
Note that the last summary with consequent PMP-D2 is of low support and
confidence. This rule summary will be deemed as least important if the consequent of
purchasing any product results in similar profits. However, if PMP-D2 is a highly
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