How markets move against each other — measured, with the sample size, the controls each result survived, and the condition that would overturn it. Every number on these pages comes from Apex’s own testing.
The measured relationship between gold and the 10-year real rate: correlation, sample size, the controls it survived, and the one number that makes it useless as a trading signal.
Gold and the dollar move against each other, but the strength varies enormously. Measured on hourly data with a two-year baseline, and what an unusually strong reading actually means.
Bitcoin and gold look strongly linked on daily data and almost unlinked hour to hour. The gap is not a contradiction — it is the most useful thing the measurement shows.
The bitcoin-dollar link is weak, and the part that exists runs through gold rather than directly. What that means for the debasement thesis.
Brent crude shows no measurable response to real interest rates, while gold, silver and equities all do. That makes energy the one genuine diversifier in the set.
Most published market relationships are stated without a sample size and without a way to be wrong. These pages carry both. Several of them conclude that the relationship, while real, cannot be traded — that is the most common honest result, and it is published for the same reason the others are. See also the research register, where twelve of the findings are marked FAILED and shown anyway.