An illusory correlation is a matching of information with an illusion, usually based on expectations. The correlation can't work because part of the correlation doesn't exist. This is sometimes a form of sophistry in common usage, but more often it's sarcasm directed at faulty reasoning.
Examples of Illusory Correlation:
The Moon is made of green cheese, so I'll need an antacid and will have to be prepared to battle giant lunar mice.|
I bought the suit of armor for the singles cruise so I won't get attacked by all those supermodels.
OK, you buy the moped and I'll ring around for a friendly mortician.