Consider the interestingness measure, M = P(B|A) − P(B)/1 − P(B) , for an association rule A → B.
(a) What is the range of this measure? When does the measure attain its maximum and minimum values?
(b) How does M behave when P(A,B) is increased while P(A) and P(B) remain unchanged?
(c) How does M behave when P(A) is increased while P(A,B) and P(B) remain unchanged?
(d) How does M behave when P(B) is increased while P(A,B) and P(A) remain unchanged?
(e) Is the measure symmetric under variable permutation?
(f) What is the value of the measure when A and B are statistically independent?
(g) Is the measure null-invariant?
(h) Does the measure remain invariant under row or column scaling operations?
(i) How does the measure behave under the inversion operation?