Daily 15 - Mar 18

Class Performance

Students: 99 | Mean: 2.90 | Median: 3 | SD: 0.33

Scores ranged from 1 to 3 out of 3 points.

Score Distribution

Performance by Question

Questions

Q1: Omitted Variable Bias Condition

Beta-hat_1 would be biased unless beta_2 = 0 or x₁ and x₂ are uncorrelated (independent, unrelated).

  • Very few errors — Nearly all students correctly identified both conditions.
  • Acceptable synonyms — “Independent,” “unrelated,” and “uncorrelated” all received full credit.

Q2: Omitting Experience from Education Regression

Bias is downward. Experience is negatively correlated with education and positively correlated with log wages.

  • Swapping correlation signs — Writing “positively, negatively” instead of “negatively, positively.”
  • Only stating direction — Writing “down” without the correlations earns partial credit.
  • Writing “up” — The bias is downward: beta_exper(+) × delta_exper_educ(-) = negative.

Q3: Standard Errors to Always Report

Robust standard errors.

  • Writing “consistent” — Consistency is a property of estimators, not the type of standard errors.
  • Outstanding performance — The vast majority correctly answered “robust.”

Key Takeaways

Strengths: Exceptional performance | OVB conditions well understood | Robust SE concept mastered.

Review:

  • OVB formula — beta_exper(+) × delta_exper_educ(-) = negative bias on educ coefficient
  • Correlation signs matter — Experience is negatively correlated with education, positively with wages
  • Always report robust SEs — Valid whether or not heteroskedasticity is present