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Are logic and statistical analysis used to help distinguish between coincidence (chance), correlation (association), and causation?

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Are logic and statistical analysis used to help distinguish between coincidence (chance), correlation (association), and causation?

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Correlation and causation are commonly confused with each other. For example, people who exercise have a lower risk of heart attack is a statement of correlation, but exercise lowers the risk of heart attack is a statement of causation. It is very hard to prove causation (that A causes B). In order to do so, one needs to show that A must always be present for B to occur, and that B will always occur when A is present ( A is both necessary and sufficient cause of B ). An example of how this can be done in science is the use of Koch s postulates for determining whether a microorganism causes a particular disease: • The organism must be associated with every case of the disease • A pure culture of the organism must be able to be grown outside the body • When introduced into a healthy subject, the pure culture of the organism must cause the disease to occur. • The organism must be recovered from the subject and cultured again. Because of limits on time, funding, or because of ethical consi

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