Daily 17 - Mar 25

Class Performance

Students: 103 | Mean: 3.79 | Median: 4 | SD: 0.45

Scores ranged from 2 to 4 out of 4 points.

Score Distribution

Performance by Question

Questions

Q1: Education Control and Gender Wage Gap

Controlling for education causes the estimated gender wage gap to rise by about 7 percentage points.

  • Very few errors — Nearly all students correctly identified “rise/increase” and “7.”
  • Minor variation — Some wrote “7.4” which is also acceptable.

Q2: STAR Small Class Effect

Students in small classes scored about 14 points higher, and the result is statistically significant.

  • Writing “19” — Likely from a different row or specification.
  • Writing “5.83” or other wrong values — From different columns.
  • Saying “is not” significant — The effect is statistically significant.

Q3: Counterfactual

Causal inference begins with the notion of a counterfactual — what would happen to the same unit under different conditions.

  • Very high performance — Nearly all students correctly wrote “counterfactual.”
  • Spelling variations accepted — “Counter factual,” “counter-factual” all received full credit.

Q4: Selection Bias

Comparing treated and untreated group averages won’t produce the ATE because of selection bias.

  • Leaving blank — Several students left this blank.
  • Writing “section” or “greater” — These are not the correct term.

Key Takeaways

Strengths: Exceptional performance overall | Counterfactual mastered | Gender wage gap well understood.

Review:

  • STAR experiment — Small class effect is about 14 points (statistically significant)
  • Selection bias — The reason simple comparisons fail for causal inference
  • Counterfactual — The hypothetical “what if” that causal inference tries to estimate