Exam 8: Advanced Methods for Establishing Causal Inference

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The controls for cross-sectional groups in the data generating process are known as:

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A fixed effects model is one in which the data generating process includes:

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If you conduct your estimation using two-stage least squares by separately estimating each regression (say in Excel), what condition should you be aware of when interpreting your second stage results?

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Interpreting the coefficients on fixed effects will always be based on what?

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Generally speaking, the difference-in-differences is defined to be the:

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In order for a variable to be a valid instrumental variable it needs to satisfy which two conditions?

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Two-stage least squares can be executed:

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The following regression results are from the first stage regression of Price on income and wholesale costs-which is serving as the instrument for a particular grocery product across different markets: Pricei = 3.2(1.0) + 4.3(0.8)WholesaleCostsi + 5.5(2.7)Incomei, where standard errors are reported in parenthesis. What conclusion can be drawn about the instrumental variable?

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Suppose you are estimating demand relationships, where you are attempting to identify the effect of price on quantity sold (i.e., Qi = α0 + α1Pricei + Ui). It will often be the case that the use of an instrumental variable for price will likely yield a coefficient (for α1) that relates to the use of multiple regression in what way?

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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 exogenous condition to be a potential instrument variable?

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