General Example
An example of a spurious relationship can be illuminated examining a city's ice cream sales. These sales are highest when the rate of drownings in city swimming pools is highest. To allege that ice cream sales cause drowning, or vice-versa, 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, also known as a confounding variable.
Another popular example is a series of Dutch statistics showing a positive correlation between the number of storks nesting in a series of springs and the number of human babies born at that time. Of course there was no causal connection; they were correlated with each other only because they were correlated with the weather nine months before the observations. However Hoefer et al showed the correlatin to be stronger than just weather variations as he could show in post reunification Germany that the number of clinical deliveries was inversly linked with the rise in stork population whilst out of hospital deliveries correlate with the stork population.
Read more about this topic: Spurious Relationship
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