Here is a table based on your source:
2019 Admissions |
|
Native American |
Asian |
Black |
Latino |
White |
Multi-racial |
Unknown |
Total |
TESTER SUMMARY |
Total Testers |
269 |
8,471 |
5,488 |
6,622 |
5,008 |
362 |
1,321 |
27,521 |
Distribution of Testers, by Ethnicity |
1.0% |
30.7% |
19.9% |
24.1% |
18.2% |
1.3% |
4.8% |
100% |
OFFER SUMMARY |
Stuyvesant High School |
9 |
587 |
7 |
33 |
194 |
20 |
45 |
895 |
Distribution of Offers, by Ethnicity |
1.0% |
65.6% |
0.7% |
3.7% |
21.7% |
2.2% |
5.0% |
100% |
Percent of Testers who Received an Offer, by Ethnicity |
3.3% |
6.9% |
0.1% |
0.5% |
3.9% |
5.5% |
3.4% |
3.3% |
For a little more insight as to what this means, we'll look at the admissions process for Stuyvesant. According to the 2020 student handbook, after the SHSAT (Stuyvesant High School Admissions Test) has been scored:
To determine offers to a Specialized High School:
- All students take the SHSAT and list their school choices on the SHSAT answer sheet in their true preference order. Students only list the eight Specialized High Schools where admissions is based on the SHSAT. [...]
- All scores of the students who took the test are ordered from highest score to lowest score.
- The student with the highest composite score is placed in their first choice (highest listed school).
- Starting from the highest score on down, each student, in turn, is placed in that student’s highest listed school in which seats are still available. Therefore, if all the seats in a student’s first-choice school have been offered to students who scored higher, the student is placed in their second-choice school if seats are available. If all the seats in the student’s second-choice school have been offered to students who scored higher, the student is offered a seat in their third-choice school if there are still seats available, and so on. This process continues until there are no seats available in any of these eight Specialized High Schools.
The process is surprisingly straightforward, since the student's test performance and school preference are the only criteria. I'm assuming that if there are two or more students with the same scores and with Stuyvesant as the top preference, they are either all offered admission or none of them are offered admission, depending on whether there are enough seats left.
Perhaps the only relevant thing to take away is that we see an actual disparity the percent of testers within the same race who receive offers. The disparity is most noticable between Asians and Blacks. 6.9% of Asian applicants were offered admission, while only 0.1% of Black applicants were offered admission.
Now let's look at what I wrote, and what you wrote.
I claimed:
"If the applicants accurately reflected the community demographics, then a somewhat random hiring process (after culling all the subpar candidates) would somewhat reflect community demographics."
You responded:
"You sure about that? [...] The population of NYC is about 9% asian, 43% white and 44% black/hispanic. [...]"
So far as I can tell, nothing pertaining to Stuyvesant High School has contradicted my claim.
The racial breakdown of Stuyvesant High School applicants does not accurately reflect the racial demographics of New York City, according to your own numbers. Compare the above quoted demographics of New York City with the Distribution of Testers, by Ethnicity from the table. 44% of applicants are Black/Hispanic, which matches the 44% of the city population belonging to those groups if your numbers are to be trusted. Apparently 43% of New York City is White, yet only 18.2% of applicants were White. I suspect some - but not all - of that disparity might be due to Hispanic Whites counting towards your 43% statistic. Most glaringly, only 9% of the city is Asian, yet 30.7% of applicants are Asian.
The racial breakdown of the top-tier of Stuyvesant High School applicants does not accurately reflect the racial demographics of New York City. I am going to assume that all of the applicants picked Stuyvesant as their preferred school. That way, as I see it, the 895 students who were actually offered admission constitute the top-tier of applicants. Now we can compare your statistics for the racial demographics of New York City with the Distribution of Offers, by Ethnicity from the table. I don't need to go over everything, you can see for yourself that 65.6% of offers were extended to Asians. 65.6% does not match the 9% of the city population which identify as Asian.
Now, my argument rests on the premise that the top-tier applicants for a position accurately reflect community demographics. These previous two paragraphs have proven, to my satisfaction at least, that the top-tier of applicants to Stuyvesant High School do not accurately reflect the racial demographics of New York City. Therefore, I see nothing about Stuyvesant or its admissions process that can possibly counter my argument.
For the sake of completion, let's put that to the side. The second half of my argument concerns a somewhat random hiring process. I had been talking about blind auditions for orchestra seats, and assuming that when all applicants are equally skilled, the blind audition can no longer tell you who is better. So I had in mind a secondary process, after the blind auditions, which randomly chooses which applicant gets the job offer. In practice I don't think it would actually be random, but for the thought experiment I thought random makes a good approximation.
The Stuyvesant High School admissions process is not random in any way, shape, or form. Each applicant comes with a numeric score, and I have no reason to believe most of the 895 students were equally scored. The Stuyvesant admissions process is a lot like the blind audition, very focused on "merit". This just goes to show that Stuyvesant is completely unrelated to the argument I made.
I can't read your mind, so I don't know what point you are trying to make or why you might think I am mistaken. As I said before, the argument you seem to take issue with is based on deduction. I believe it follows from basic principles of probability theory, at least when there are large numbers of applications and hires.
~Max