Earlier quoted context omitted.
That's incorrect. https://sat.collegeboard.org/scores/how-sat-is-scored >In our statistical analysis, equating adjusts for slight differences in difficulty between test editions and ensures that a student's score of, say, 450 on one edition of a test reflects the same ability as a score of 450 on another edition of the test. Equating also ensures that a student's score does not depend on how well others did on the sa…
Intuitively it must be the case that your score decreases if the SAT taking population gets better at taking it because the entire point of the SAT is to rank students. I don't quite understand what the discussion in the link is trying to say but I take it to mean that they normalize between different versions of the test in the same year in a way that doesn't depend on the ability of the cohort that took a specific…
The point may be to rank students, but they don't give lower scores if everyone does better. It's possible for everyone to get perfect, or for no one.
>I don't quite understand what the discussion in the link is trying to say but I take it to mean that they normalize between different versions of the test in the same year in a way that doesn't depend on the ability of the cohort that took a specific version. That is still consistent with the fact that they do normalize across the entire test taking population.
That's not what's happening.
There are different versions of the test. ETS (the org running it) wants a score to mean the same thing no matter which version or year you took it in (well, besides for when they make major changes, like 1995.)
So every test includes one section that doesn't count. You don't know which one it is. Let's say everyone who took Math non-counter-A gets an average of 540. The same people get an average of 520 on Math counts-B. So we know that 520 on B is just as good as 540 in whatever year A was given. So we scale, and anyone who got a 520 on on B is given 540 instead. This is extended for other scores, using math.
(Actually, this is probably done before converting away from raw scores.)
If everyone does poorly, that will make the average go down for the actual test, and also make the average go down for the non-counting section. Those factor out completely, meaning others' performances have zero effect on your score.
Hope that helps.