Causal Analysis.
Causal analysis is the field of experimental design and statistics pertaining to establishing cause and effect.
Typically it involves establishing three elements: corelation, sequence in time / that is, causes must occur before their proposed effect /, and a plausible physical or information-theoretical mechanism for an observed effect to follow from a possible cause, often involving one or more experiments.
Causation, functional relation.
When we have:
a Cause Ca1,
a Result R1,
a Proof that C1 causes R1
Then we can say that we have a Cause - Result relation between Ca1 and R1
Correlation, probabilistic relation.
'Correlation is not causation' means that just because two things correlate does not necessarily mean that one causes the other.
As a seasonal example, just because people in the UK tend to spend more in the shops when it's cold and less when it's hot doesn't mean cold weather causes frenzied high-street spending.
A more plausible explanation would be that cold weather tends to coincide with Christmas and the new year sales.
See also, if You wish: Causal Notation.
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