"A correlation coefficient is like an average -- it does not tell us
about the extremes."
"The same is true with the correlation coefficient (and statistics in general). The formula for a correlation coefficient is like a recipe. The information that goes into it (∑X, ∑Y, etc.) are the ingredients. If you put the wrong ingredients into the formula, you will get a number that may very well look like a correlation coefficient. The only problem is that it is a defective correlation coefficient. Therefore, it will not mean what it should mean."
METAMIA is a free database of analogy and metaphor. Anyone can contribute or search. The subject matter can be anything. Science is popular, but poetry is encouraged. The goal is to integrate our fluid muses with the stark literalism of a relational database. Metamia is like a girdle for your muses, a cognitive girdle.