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Data exploration and conditional probability

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1 Author(s)
Barigelli, B. ; Inst. Matematica e Stat., Ancona Univ., Italy

It is possible to “read” the data of a 2×2 contingency table by interpreting the various proportions as “conditional probabilities”. If we interpret the probability P as degree of belief in the truth of an event E, then P can be looked on as a substitute of our relevant lack of information concerning the truth or falsity of E. In the same way we consider the conditional probability. A suitable interpretation of the concept of conditional event allows one to look at the so-called “Simpson's paradox”, from a different perspective. We give also a sufficient condition to avoid the paradox

Published in:

Systems, Man and Cybernetics, IEEE Transactions on  (Volume:24 ,  Issue: 12 )

Date of Publication:

Dec 1994

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