Compare P(A = 1, B = 1|Class = +) against P(A = 1|Class = +) and P(B = 1|Class = +). Are the variables conditionally independent given the class?
Consider the data set shown in Table 5.2.
Compare P(A = 1, B = 1|+) = 0.2 against P(A = 1|+) = 0.6 and
P(B = 1|Class = +) = 0.4. Since the product between P(A = 1|+)
and P(A = 1|?) are not the same as P(A = 1, B = 1|+), A and B are
not conditionally independent given the class.
Computer Science & Information Technology
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