Exam 8: Advanced Methods for Establishing Causal Inference

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What object from the first stage regression (of two-stage least squares) is critical to incorporate in your implementation of the second stage regression?

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Generally speaking, what are the methods available to the econometrician who wants to estimate a linear model with a fixed effects model design (i.e., dummy variable for individual units observed over multiple periods)?

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In estimating the effect of price on sales (Salesi = α0 + α1Pricei + Ui), you are attempting to find an instrumental variable that will solve the endogeneity problem caused by the confounding factor of number of competitors being within Ui, which is correlated with price. Which of the following statements would suggest that wholesale costs would satisfy the relevant condition to be a potential instrument variable?

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Suppose the U.S. Federal Reserve raised its interest rate by 1 percentage point between 2014 and 2015, but the Bank of Canada made no change in its interest rate. You estimate the following model in an attempt to assess the effect of the change in interest rate on the unemployment rate: Unemploymentit = β0 + β1U.S.it + β2Y2015it + β3U.S.it × Y2015it + Uit Here, U.S.it is a dummy variable equaling one if the observation is in the U.S. and Y2015it is a dummy variable equaling one if the observation is in 2015. Which of the following variables may generate an endogeneity problem when attempting to use the estimate for the diff-in-diff (β3) as the effect of the interest rate change?

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Which object from the first or second stage reports whether an instrument is exogenous?

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When one uses within-group differences in variables to estimate parameters in the data generating process, you are using what approach?

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Given the regression results Unemployment Rateit = α + 0.8 (0.3) × Alabamait - 0.4 (0.2) × South Carolinait + 0.2 (0.3) × North Carolinait + 0.4 (0.12)MinimumWageit - 0.1 (0.1)Yeart, where the coefficients are reported with their standard errors in parenthesis, what might be a fact that would make you concerned about the interpretation of the coefficient on minimum wage as being causal?

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When might it be the case that a difference-in-differences estimator still does not identify a consistent estimate of the causal treatment effect?

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Which of the following scenarios might allow you to try and test the exogeneity condition of an instrumental variable empirically?

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A potential upside of using within estimation besides the reduction in the number of parameters to be estimated is:

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In estimating a regression model with an instrumental variable typically one of two methods is used to estimate the mode. The two methods are:

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A potential downside of using within estimation is:

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Given the role of cross sectional fixed effects in the empirical strategy for identifying causal effects, instead of conducting hypothesis tests of any one coefficient on a fixed effect being zero, it is typical to conduct what sort of hypothesis test?

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Given the regression results Unemployment Rateit = α + 0.8 (0.3) × Alabamait - 0.4 (0.2) × South Carolinait + 0.2 (0.3) × North Carolinait + 0.4 (0.12)MinimumWageit - 0.1 (0.1)Yeart, where the coefficients are reported with their standard errors in parenthesis, how should we interpret the coefficient for minimum wage?

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In estimating a fixed effects model using panel data, which of the following variables will not be effective controls if you use a full set of (cross sectional) fixed effects for individuals?

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In the context of regression analysis, a variable that allows us to isolate the causal effect of a treatment on an outcome due to its exogenous correlation with the treatment is known as a(n):

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Typically, the justification for an instrumental variable will come from:

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Suppose you've regressed profits across stores (i) in Indiana and Michigan over two years (t) on an Indiana dummy variable as well as on an interaction between an Indiana dummy variable and Year 2 dummy variable. Thus, your regression equation is: Profitsit = β0 + β1Indianait + β2Year2it Indianait + Ui. What is the marginal effect of a store being in Indiana based off this regression equation?

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Fortunately, the difference-in-differences estimate of a treatment effect also can be reported/interpreted as:

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A variable is exogenous if that variable:

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