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Published byRobert Hines Modified over 9 years ago
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Chicken Little hypotheses Null Hypothesis (H 0 ): Chicken Little is wrong and everything is normal. Alternative Hypothesis (H a ): Chicken Little is correct and the sky is falling!
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Decision: Correct Type 1 Error “False Positive” Type 2 Error “False Negative” Null is FalseNull is True Reality: Correct Reject Null Fail to Reject Null What type of error did the birds make when they listened to Chicken Little?
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Decision: Correct Type 1 Error “False Positive” Type 2 Error “False Negative” Null is FalseNull is True Reality: Correct Reject Null Fail to Reject Null What type of error did the birds make when they listened to Chicken Little?
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Cassandra Granted the power of prophecy by Apollo. Cursed so that no one would believe her Prophecy of the Trojan Horse and the Fall of Troy
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Cassandra hypotheses Null Hypothesis (H 0 ): Cassandra is wrong and the Trojans are winning the war. Alternative Hypothesis (H a ): Cassandra is correct and a Greek ambush is imminent!
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Decision: Correct Type 1 Error “False Positive” Type 2 Error “False Negative” Null is FalseNull is True Reality: Correct Reject Null Fail to Reject Null What type of error did the Trojans make when they didn’t listen to Cassandra?
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Decision: Correct Type 1 Error “False Positive” Type 2 Error “False Negative” Null is FalseNull is True Reality: Correct Reject Null Fail to Reject Null What type of error did the Trojans make when they didn’t listen to Cassandra?
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Thomas Malthus (~1800) Economist who studied populations. Exponential population growth, linear food production (boom and bust) Positive checks: famine, disease, and war (death) Preventative checks: Birth control, abortion, and older ages of marriage
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Malthusian Growth Model
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Has there been a “Malthusian catastrophe”?
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Ester Boserup Mid to late 1900s “Boserupian Theory” Developments or inventions cause jumps in the food supply to match the growing population
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Time
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Consequences?
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Malthusian hypotheses Null Hypothesis (H 0 ): Malthus is wrong and catastrophe is not imminent. Alternative Hypothesis (H a ): Malthus is correct and catastrophe IS imminent
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Decision: Correct (Malthus is right, and we agreed with him). Type 1 Error (Malthus is wrong and we agreed with him). Chicken Little Type 2 Error (Malthus is right and we disagreed with him). Cassandra Null is FalseNull is True Reality: Correct (Malthus is wrong and we disagreed with him). Reject Null Fail to Reject Null What would be the consequences of a Type 2 Error? of a Type 1 Error? Malthus
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Decision: Correct (Malthus is right, and we agreed with him). Type 1 Error (Malthus is wrong and we agreed with him). Chicken Little Type 2 Error (Malthus is right and we disagreed with him). Cassandra Null is FalseNull is True Reality: Correct (Malthus is wrong and we disagreed with him). Reject Null Fail to Reject Null What would be the consequences of a Type 2 Error? of a Type 1 Error? Malthus
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Julian Simon Economist Consequences of Type 1 error: slowing of economic growth Human ingenuity the scarcest resource Growth and development are the answer to our problems
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Riskiness of Errors Chicken Little? Cassandra? Malthus? (Overpopulation?) Climate Change?
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Climate hypotheses Null Hypothesis (H 0 ): Climate Scientists are wrong and catastrophe is not imminent. Alternative Hypothesis (H a ): Climate Scientists are correct and catastrophe IS imminent
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Decision: Null is FalseNull is True Reality: Reject Null Fail to Reject Null Climate Scientists are right and we agree with them. Action. Type 1 Error (Chicken Little) “False Positive” Consequences? Risky? Type 2 Error (Cassandra) “False Negative” Consequences? Risky? Climate Scientists are wrong and we disagree with them. Inaction.
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