Minority Contributions to the SAT Score Turnaround¶
Wainer, H. (1986). Minority Contributions to the SAT Score Turnaround: An Example of Simpson's Paradox. Journal of Educational Statistics, 239-244.
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Primes¶
- Simpson–Yule Effect
- In education policy, a district can show flat aggregate test-score trends while every demographic subgroup improves, because the demographic mix is shifting toward historically lower-scoring groups — a compositional shift.
This sourceDocuments the education-policy aggregation paradox: SAT scores rose within both White and nonwhite subgroups (8 and 15 points) while the overall mean rose only 7, because the composition of test-takers shifted toward historically lower-scoring groups.
Supported in partVerified against the publisher's abstract
Wainer's abstract gives the SAT case of Simpson's paradox — white and nonwhite scores rose 8 and 15 points while the overall mean rose only 7 — the aggregation principle, not a district-level flat trend or an explicit composition mechanism.
“The scores for white Americans have increased 8 points during this period and 15 points for non-whites. It was thus surprising to discover that the overall mean increased only 7 points. This is not an arithmetic error but rather an example of a well-known statistical phenomenon called Simpson’s Paradox.”
- In education policy, a district can show flat aggregate test-score trends while every demographic subgroup improves, because the demographic mix is shifting toward historically lower-scoring groups — a compositional shift.
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