An individual in a group G contracts a certain disease C with probability y. Such individuals...
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An individual in a group G contracts a certain disease C with probability y. Such individuals are hospitalized with probability c. Independently of this, anyone in G may be in hospital with probability a for some other reason. Let X be the number in the hospital and Y the number in the hospital who have C (including those who have C but were admitted for any other reason). Show that the correlation between X and Y is p(X,Y)= YP YP (1 - a)(1-yc) a+ye-aye where p = a + c-ac. It has been stated that, when p(X,Y) is near 1, this is evidence for a causal relation between being in G and contracting C. Explain why this is or is not erroneous thinking. An individual in a group G contracts a certain disease C with probability y. Such individuals are hospitalized with probability c. Independently of this, anyone in G may be in hospital with probability a for some other reason. Let X be the number in the hospital and Y the number in the hospital who have C (including those who have C but were admitted for any other reason). Show that the correlation between X and Y is p(X,Y)= YP YP (1 - a)(1-yc) a+ye-aye where p = a + c-ac. It has been stated that, when p(X,Y) is near 1, this is evidence for a causal relation between being in G and contracting C. Explain why this is or is not erroneous thinking.
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The correlation between X and Y is p a c ac In other words the correlat... View the full answer
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
Posted Date:
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