Question

in the following data table, what is the confidence of the rule b®c? Transaction ID Itemsets 1 {a, b, d, e} 2 {b, c, d} 3 {a, b, d, e} 4 {a, c, d, e} 5 {b, c, d, e} 6 {b, d, c} 7 {c, d} 8 {a, b, c} 9 {a, d, e} 10 {b, c}

Answer 1

Answer:

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Answer 2

5/7 is the confidence of the rule b®c.

Explanation:

• The confidence of an association rule is a fraction value that presents how frequently the rule head appears among all the groups having the rule body.  

• The confidence value denotes how consistent this rule is.  

• The higher the value, the more probable the head items occur in a group if it is identified that all body items are delimited in that group.

• Accordingly, the confidence of a rule is the percentage counterpart of m/n, where:

• m = The number of groups having the rule body and joined rule head.

• n = The number of groups having the rule body.

Here,

• $m=5$, i.e. the number of groups having b.

• $n=7$, i.e. the number of groups having b & c.

Now,

• Confidence of rule$=\frac{m}{n}$

                                       $=\frac{5}{7}$  

• Hence, the confidence of the rule is 5/7.