Question

Based on the market basket transactions data given below, calculate the support and confidence values of the association rules R1 through R6. Discuss your observations of the calculation results.

Market Basket Transactions Association Rules: TID 0910 Items {Bread, Milk} {Bread, Diapers, Beer, Eggs {Milk, Diapers, Beer, Cola {Bread, Milk, Diapers, Beer} Bread, Milk, Diapers, Cola} R1: {Beer, Diapers — {Milk}, R2:{Diapers, Milk} — {Beer}, R3: {Milk) {Beer Diapers}, R4: {Beer, Milk} — {Diapers) R5: {Beer) — Diapers, Milk R6:{Diapers) — {Beer Milk). 7

Answer 1

Support:(#transactions containing X and Y)/( Total # of transactions) Confidence:- (#transactions containing X and Y)/( #transactions containing X)

R1: {Beer,Diapers} -> {Milk} Support:- 2/5         => 40% Confidence:- 2/3   => 66.66% R2:- {Diapers,Milk} --> {Beer} Support:- 2/5       => 40% Confidence:- 2/3   => 66.66% R3:-{Milk}--> {Beer,Diapers} Support:- 2/5       => 40% Confidence:- 2/4   => 50% R4:-{Beer,Milk}-->{Diapers} Support:- 2/5       => 40% Confidence:- 2/2   => 100% R5:- {Beer} --> {Diapers,Milk} Support:- 2/5       => 40% Confidence:- 2/3   =>   66.66% R6:- {Diapers} -->{Beer,Milk} Support:- 2/5       => 40% Confidence:- 2/4   => 50% All the Rules have the same support. (40%) R1, R2, and R5 have the same confidence of (66.66%) R3 and R6 have equal and least confidence compared to all (50%) R4 has high confidence (100%).