Spurious relationship



         


In statistics, a spurious relationship (or, sometimes, spurious correlation) is a mathematical relationship in which two occurrences have no logical connection, yet it may be implied that they do, due to a certain third, unseen factor (referred to as a "confounding factor" or "lurking variable"). The spurious relationship gives an impression of a worthy link between two groups that is invalid when objectively examined.

[Top]

General example

An example of a spurious relationship can be delineated by a city's ice cream sales. These sales are highest when the city's crime rate is highest. To allege that ice cream sales cause crime would be to imply a spurious relationship between the two. In reality, a heat wave may have caused both. The heat wave is an example of a hidden or unseen variable.

[Top]

Statistics

The term is commonly used in statistics and in particular in experimental research techniques. Experimental research attempts to understand and predict causal relationships (X -> Y). A causal relationship can be contaminated by spurious variables (W -> X & Y), intervening variables (X -> W -> Y), and antecedent variables (W -> Y, X). Because of this, it is safest to present the conclusions of experimental research in terms of correlation instead of causation.

[Top]

See also

[Top]

External links and references





  View Live Article   This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License