Causal Inference Question 10

Question

Using the counterfactual framework, describe the ideal experiment that you would perform if you wished to examine the causal relationship between growing up in a home with high levels of lead (compared to low levels of lead) and cognitive development score at age five. 

a. Explain why you could not conduct this experiment and what experiment you could conduct instead. What might differ between your realistic experiment and the ideal experiment?

b. Write an equation to represent the individual-level causal effect for exposure to high levels of lead and child behavioral problems (hint: see lecture slides). Interpret this equation.

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Source: PH250B Problem Set