There is no RationalWiki without you. We are a small non-profit with no staff – we are hundreds of volunteers who document pseudoscience and crankery around the world every day. We will never allow ads because we must remain independent. We cannot rely on big donors with corresponding big agendas. We are not the largest website around, but we believe we play an important role in defending truth and objectivity. If everyone who saw this today donated $5, we would meet our goal for 2019. |
Fighting pseudoscience isn't free. We are 100% user-supported! Help and donate $5, $20 or whatever you can today with ! |
Ecological fallacy
Part of the series on Logic and rhetoric |
Key articles |
General logic |
Bad logic |
The ecological fallacy, sometimes referred to as the ecological inference fallacy, describes a fallacious inference made about a particular individual from statistical data in reference to whatever group that individual is part of.^{[1]} It's a fallacy very similar to the fallacy of composition/division or category mistake.
Example[edit]
- P1: Women on average tend to score higher on mathematical calculation when compared to men.
- P2: Sarah is a woman, while Jack is a man.
- C1: Therefore Sarah is better at mathematical calculation than Jack.
This is a fallacy because the inference about an individual doesn't necessarily follow from the group generalization. In statistics, the average, or arithmetic mean, is the sum of all the scores in a given set divided by the number of scores. More often than not, such statistical trends form a normal distribution (or Gaussian/bell curve) with individuals existing all over the distribution, though most will center in the middle. Sarah can be anywhere under the bell curve, she could be in the extreme low end, or even the extreme high end, we can't necessarily know without first testing her. Even if, hypothetically, women score higher on average in mathematical calculation there can still be great overlap between the bell curves for men and women. So it doesn't necessarily follow that Sarah will be better at math than Jack. This is, of course, assuming that such a distribution forms a bell curve; statistical distributions can take on other shapes. Regardless you can't infer such a conclusion about an individual from a demographic generalization.
Reference[edit]
- ↑ Ecological Fallacy Logically Fallacious.