Data Collectionhard
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A school district assigns students to reading interventions based on a pre-test cutoff: below 50 → Program A (intensive), 50+ → Program B (standard). The outcome model (post-test vs. pre-test) fits as:

  • Below 50: Post=0.85×Pre+24\text{Post} = 0.85 \times \text{Pre} + 24
  • At/above 50: Post=0.85×Pre+19\text{Post} = 0.85 \times \text{Pre} + 19

In a regression discontinuity design, the estimated local treatment effect (Program A vs. B) at the cutoff is: