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Collider bias: interview and test scores among new hires

At your firm, a candidate's interview score and coding-test score are essentially uncorrelated across the whole applicant pool. But among the candidates you actually hired, the two are negatively correlated: strong interviewers tend to have weaker test scores and vice versa. A manager worries that good talkers must be bad coders.

Explain why hiring induces this negative correlation even though the two abilities are unrelated in the pool.

Your answer

This one is open-ended. Work it through, then check your reasoning against the full solution.

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