one possibility might be to have multiple students grade a students work, and final score then weighted by the 'judging-student's' score on the same topic ?
In my university we often had group projects and at the end of the project you scored your team members. If the entire team scored one member highly or poorly, their grade could be weighted higher or lower.
You could take the responsibility for grading away from the universities. We do that with school exams in the UK, there are a couple of exam boards that set papers for all schools.
I think that was the way it worked at my university too, at least officially. Unofficially, very few teachers actually graded that way, and when I saw it happen, people complained about it a lot.
Then again, the teachers that did it seemed like they were doing it punitively (e.g. subtracting the exact amount of points they were forced to add.)
Or you write it yourself, and then it goes to the committee for grading.
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