Difference between revisions of "Correlation is not causation"
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| − | '''"Correlation is not causation"''' is the unofficial motto of [[modern science]]. When we observe that two things generally or always happen together, it is natural to wonder whether one may be [[causation|causing]] the other. | + | '''"Correlation is not causation"''' is the unofficial motto of [[modern science]]. When we observe that two things generally or always happen together, it is natural to wonder whether one may be [[causation|causing]] the other. A [[correlation]] between two variables does not always mean that one variable has caused a change in the other. Often a third variable is causing both, such as shark attacks and ice cream sales. These two factors may correlate, but they are not directly related. Rather, both go up each summer as people go swimming at ocean beaches. |
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| + | It is a [[logical fallacy]] to assume that correlation implies causation. Correlation does not prove causality, but non-correlation proves non-causality. <ref>http://www.oism.org/pproject/s33p36.htm#Message5980</ref> | ||
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| + | The following is a flawed argument: | ||
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| + | #Event A occurs in concurrence with Event B | ||
| + | #Therefore, Event A causes Event B | ||
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| + | This is flawed because: | ||
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| + | #There may be a confounding factor causing A ''and'' B | ||
| + | #B may cause A | ||
| + | #The relationship may be a complete coincidence | ||
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| + | ==Examples== | ||
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| + | #As sales of ice cream rise, so do reports of shark attacks | ||
| + | #High sales of ice cream cause shark attacks | ||
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| + | '''Flaw:''' Shark attacks and ice cream sales follow a seasonal pattern. Both rise in the summer months. The seasons are a confounding variable. | ||
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| + | #Since the construction of a stadium began in Alaska, the value of your home in Texas has risen | ||
| + | #Stadium construction in Alaska causes higher home values in Texas | ||
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| + | '''Flaw:''' This is a coincidence between unrelated variables. | ||
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| + | ==Correlation vs. Causation in Science== | ||
The difference between [[science]] and [[superstition]] lies in the ways an idea is tested. Scientists test a [[theory]] by drawing conclusions from it, [[hypotheses]] which can be confirmed or contradicted by observation. | The difference between [[science]] and [[superstition]] lies in the ways an idea is tested. Scientists test a [[theory]] by drawing conclusions from it, [[hypotheses]] which can be confirmed or contradicted by observation. | ||
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===References=== | ===References=== | ||
{{reflist|2}} | {{reflist|2}} | ||
| + | *[http://www.stat.tamu.edu/stat30x/notes/node42.html Texas A&M University] | ||
| − | [[Category: | + | [[Category:logical fallacy]] |
Revision as of 19:10, June 14, 2008
"Correlation is not causation" is the unofficial motto of modern science. When we observe that two things generally or always happen together, it is natural to wonder whether one may be causing the other. A correlation between two variables does not always mean that one variable has caused a change in the other. Often a third variable is causing both, such as shark attacks and ice cream sales. These two factors may correlate, but they are not directly related. Rather, both go up each summer as people go swimming at ocean beaches.
It is a logical fallacy to assume that correlation implies causation. Correlation does not prove causality, but non-correlation proves non-causality. [1]
The following is a flawed argument:
- Event A occurs in concurrence with Event B
- Therefore, Event A causes Event B
This is flawed because:
- There may be a confounding factor causing A and B
- B may cause A
- The relationship may be a complete coincidence
Examples
- As sales of ice cream rise, so do reports of shark attacks
- High sales of ice cream cause shark attacks
Flaw: Shark attacks and ice cream sales follow a seasonal pattern. Both rise in the summer months. The seasons are a confounding variable.
- Since the construction of a stadium began in Alaska, the value of your home in Texas has risen
- Stadium construction in Alaska causes higher home values in Texas
Flaw: This is a coincidence between unrelated variables.
Correlation vs. Causation in Science
The difference between science and superstition lies in the ways an idea is tested. Scientists test a theory by drawing conclusions from it, hypotheses which can be confirmed or contradicted by observation.