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The Scientific Method
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Necessary & Sufficient Conditions
A is said to be a sufficient condition for B. If A happens B will be guaranteed to occur. EX: Ceteris Paribus, if it rains then the football field will be wet. Necessary & Sufficient Conditions.
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Testing Causality If A is observed and ceteris paribus B does not occur then the idea that A causes B is called into question. EX: Theory: C.P. Price is negatively related to quantity demanded. We observe price falling and ceteris paribus quantity demanded also falls. Does the data support the theory?
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Testing Causality Econometrically we can estimate an equation for demand. Q = f(Price, Income, Other Variables) What is the predicted sign on the coefficient of price? (Is it significant?)
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Fallacies Denying the antecedent: Affirming the consequent:
It did not rain therefore the football field cannot be wet (How about a sprinkler system?) Affirming the consequent: The field is wet therefore it must have rained. (Sprinklers may have been on)
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Contrapositive The only logical equivalent to A=> B is the contrapositive statement ~B => ~A. EX1: If it rains then the field will be wet. (Contrapositive) The field is dry therefore it did not rain. EX2: If cigarettes are addictive then past consumption influences present consumption. (Contrapositive) If past consumption does not influence present consumption then cigarettes are not addictive.
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