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For Transaction ID 3, It contains beer only and beer does not exists in other transaction. Do I need to include transaction Id 3 when calculating the association rule by using the Apriori algorithm?

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It really depends on what you'd like to get out of the association rules.

For example, how do you want to calculate the support of Milk -> Bread? Including TransactionID 3, it is 2/5, without, it is 2/4. Depending on your context, both could make sense.

If you are only keen on Beer being the sole consequent, then the antecedent of rule extracted would be (Milk = 0, Bread = 0, Butter = 0), with a confidence of 100%. Similarly, for Beer being the sole antecedent, we will have 3 rules:

  • Beer = 1 -> Milk = 0 (100% confidence)
  • Beer = 1 -> Bread= 0 (100% confidence)
  • Beer = 1 -> Butter = 0 (100% confidence)

Would you find such rules useful in your context?

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