(a) Prove that the Ï coefficient is equal to 1 if and only if f11 = f1+...

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(a) Prove that the Ï• coefficient is equal to 1 if and only if f11 = f1+ = f+1.
(b) Show that if A and B are independent, then P(A,B) × P(A, ) = P(A,) × P(, B).
(c) Show that Yule's Q and Y coefficients
(a) Prove that the Ï• coefficient is equal to 1

are normalized versions of the odds ratio.
(d) Write a simplified expression for the value of each measure shown in Tables 6.11 and 6.12 when the variables are statistically independent.

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Introduction to Data Mining

ISBN: 978-0321321367

1st edition

Authors: Pang Ning Tan, Michael Steinbach, Vipin Kumar

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