Are you suggesting that the high positive correlation of, say, corn and Dow (as mentioned above) over the last 180 days is anything but a random occurrence?
Or did you mean something else when you said:
The basic point of my reply wasn't about "the books" or any statistical significance testing. This is about a large correlation matrix (1,000+ elements) across a variety (here 35) of diverse asset classes and instruments. Given those two facts, you cannot not have multiple instances of a correlation near one of the two extremes, 1 or -1. And?... And many of those instances will be random (contrary to your statement); an accidental fluke; of no particular meaning, relevance or use, in trading, investing or any other area.
If you are going to make any use of that correlation -- to draw any valid inferences from it -- then that's exactly the question you should ask. Otherwise, it's garbage in, garbage out.
Or did you mean something else when you said:
Quote from KS96:
There are no such a thing as a "random correlation".
There is either correlation or not.
The basic point of my reply wasn't about "the books" or any statistical significance testing. This is about a large correlation matrix (1,000+ elements) across a variety (here 35) of diverse asset classes and instruments. Given those two facts, you cannot not have multiple instances of a correlation near one of the two extremes, 1 or -1. And?... And many of those instances will be random (contrary to your statement); an accidental fluke; of no particular meaning, relevance or use, in trading, investing or any other area.
Quote from KS96:
Everything allowed in the books, but my experience says that you shouldn't ask whether a correlation exists by chance or not.
If you are going to make any use of that correlation -- to draw any valid inferences from it -- then that's exactly the question you should ask. Otherwise, it's garbage in, garbage out.
