Cross Validated
2026-11-10 15:52 UTC
By inforightsjames
AI-113-20261110-social-media-6f6b5337
Did Thomson come up with quantile regression half a century before Koenker?
I was looking for the "proper" name for a method described by Godfrey Thomson in 1932 for adjusting test scores to account for the small but significant differences in scores taken by different age children in the same year group. (The standardization of group tests and the scatter of intelligence quotients https://bpspsychub.onlinelibrary.wiley.com/doi/pdf/10.1111/j.2044-8279.1932.tb03145.x ) Thomson divided results into monthly cohorts, found the quantiles that map to Binet's IQ (mean 100, SD 15) [EDIT1: then used OLS to find best fit across all monthly groups] then interpolated intermediate values. "Quantile regression" feels like the correct terminology but Wikipedia attributes this to Koenker (1978). I know Wikipedia is not perfect, but I'm not confident enough to challenge it (and there is a good chance I am missing something!) [EDIT2: I found but then lost his paper but created the following illustration based on his description]
I was looking for the "proper" name for a method described by Godfrey Thomson in 1932 for adjusting test scores to account for the small but significant differences in scores taken by different age children in the same year group. (The standardization of group tests and the scatter of intelligence quotients https://bpspsychub.onlinelibrary.wiley.com/doi/pdf/10.1111/j.2044-8279.1932.tb03145.x ) Thomson divided results into monthly cohorts, found the quantiles that map to Binet's IQ (mean 100, SD 15) [EDIT1: then used OLS to find best fit across all monthly groups] then interpolated intermediate values. "Quantile regression" feels like the correct terminology but Wikipedia attributes this to Koenker (1978). I know Wikipedia is not perfect, but I'm not confident enough to challenge it (and there is a good chance I am missing something!) [EDIT2: I found but then lost his paper but created the following illustration based on his description]
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Cross Validated
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