1 Question 1
• This question is based on Angrist and Evans (1998, American Economic Review).
hours = β0 + β1kids + u (1)
for the population of women with at least two children (so kids ≥ 2).
(1) What are two conditions that IV must satisfy in eq. (1)?
(2) What is outcome variable and what is policy variable?
(3) What is the potential IV?
(4) What are confouding factors? (Please provide the definition). Since the IV have to be randomly assigned between treat and control groups, it is not correlated with any other confounders except the treatment. 2 •
(5) Draw a figure that describe relationship between outcome, policy variable (i.e., treatment), the IV, and confounding factors.
(6) Fill in the blank for the following statement. The IV does not have causal effect on the ( BLANK ). The IV does have causal effect on the ( BLANK ). The IV is randomly assigned between ( BLANK ).
(7) The samesex is the IV that is proposed by Angrist and Evans. On behalf of Angrist and Evans, please argue for the validity of the IV.
Question 2
EXAMPLE: Estimating the Return to Schooling Using CARD.DTA This question is based on Card (1993, NBER).
ln(wage) = β0 + β1educ + u (2) where educ is years of education.
• A binary indicator, nearc4i , equal to one if the man was near a four-year college in high school can be used as an IV.
(1) What is outcome variable, what is treatment variable (or policy variable) and what is instrument?
(2) What is confounding factors here?
(3) What are two conditions for the IV?
(4) Please run the following regression
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