Yeah, if you don't know the name of the thing you're looking for, you can spend weeks looking for it. If you just search for generic like "eigenvalue bound estimate", you'll find thousands of papers and hundreds of textbooks, and it will take substantial amount of time to decide whether each is actually relevant to what you're looking for.
There is no reason to expect that the test results would be the same across all demographic groups, and in fact, everything we know about psychometry (i.e. the science of mental testing) suggests that we should expect exactly opposite. See e.g. "Intelligence: Knowns and unknowns", which described the consensus position of the American Psychological Association as of 1995:
> The cause of [test achievement] differential is not known; it is apparently not due to any simple form of bias in the content or administration of the tests themselves.
https://www.mun.ca/biology/scarr/APA%201985%20Intelligence%2...