If the marginal scholar is better than the median scholar, why would you just not admit the worst scholars and then admit the better scholars? Clearly the marginal scholar would usually be the worst scholar? Are you saying that if you had half the money that the average quality of the cohort would go down instead of up, and that you would be unable to prioritize only admitting the more competent people?
I think your claim is directionally correct all-else-equal; I just don’t think the effect is big enough in context, with high enough confidence, that it changes the top-line calculation you’re responding to (that 4-5x) at the resolution it was offered (whole numbers).
The naive assumption that scholars can be arranged linearly according to their abilities and admitted one-by-one in accordance with the budget is flawed. If it were true, we could probably say that the marginal MATS scholar at selection was worth maybe <80 percent of the central scholar (the threshold at which I would have written 3-4x above rather than 4-5x). But it’s not true.
Mentors pick scholars based on their own criteria (MATS ~doesn’t mess with this, although we do offer support in the process). Criteria vary significantly between mentors. It’s not the case, for instance, that all of the mentors put together their ordered list of accepted and waitlisted scholars and end up competing for the same top picks. This happens some, but quite rarely relative to the size of the cohort. If what you’ve assumed actually had a strong effect, we’d expect every mentor to have the same (or even very similar) top picks. They simply don’t.
MATS 6 is both bigger and (based on feedback from mentors) more skill-dense than any previous MATS cohort, because it turns out all else does not hold equal as you scale and you can’t treat a talent pipe line like a pressure calculation.
You might believe that there are network effects, or that the “best” people are only willing to come along if there’s a sufficiently large intellectual scene. (Not saying either is likely, just illustrating that the implied underlying model is not a tautology).
I predict the opposite effect—average intellectual scene quality is a much bigger draw than total number of people (MATS is already large). I expect a larger program is actively detrimental for drawing top people
I’m thinking less of total number of people and more like probability of having specific collaborators work in your exact area or are otherwise useful to have around.
If the marginal scholar is better than the median scholar, why would you just not admit the worst scholars and then admit the better scholars? Clearly the marginal scholar would usually be the worst scholar? Are you saying that if you had half the money that the average quality of the cohort would go down instead of up, and that you would be unable to prioritize only admitting the more competent people?
I think your claim is directionally correct all-else-equal; I just don’t think the effect is big enough in context, with high enough confidence, that it changes the top-line calculation you’re responding to (that 4-5x) at the resolution it was offered (whole numbers).
The naive assumption that scholars can be arranged linearly according to their abilities and admitted one-by-one in accordance with the budget is flawed. If it were true, we could probably say that the marginal MATS scholar at selection was worth maybe <80 percent of the central scholar (the threshold at which I would have written 3-4x above rather than 4-5x). But it’s not true.
Mentors pick scholars based on their own criteria (MATS ~doesn’t mess with this, although we do offer support in the process). Criteria vary significantly between mentors. It’s not the case, for instance, that all of the mentors put together their ordered list of accepted and waitlisted scholars and end up competing for the same top picks. This happens some, but quite rarely relative to the size of the cohort. If what you’ve assumed actually had a strong effect, we’d expect every mentor to have the same (or even very similar) top picks. They simply don’t.
MATS 6 is both bigger and (based on feedback from mentors) more skill-dense than any previous MATS cohort, because it turns out all else does not hold equal as you scale and you can’t treat a talent pipe line like a pressure calculation.
You might believe that there are network effects, or that the “best” people are only willing to come along if there’s a sufficiently large intellectual scene. (Not saying either is likely, just illustrating that the implied underlying model is not a tautology).
I predict the opposite effect—average intellectual scene quality is a much bigger draw than total number of people (MATS is already large). I expect a larger program is actively detrimental for drawing top people
I’m thinking less of total number of people and more like probability of having specific collaborators work in your exact area or are otherwise useful to have around.
Ah, fair. Yes, I agree that’s a plausible factor, especially for nicher areas
Yeah, I think those are not implausible, but very unlikely.