Using the larger dataset made available for the assignment, generate estimates of the discontinuity in employment rates of Black individuals using linear, quadratic, and cubic polynomial models on the running variable, including state and year fixed effects.

ECO372-Assignment 3

Questions
(a) Present the summary statistics (mean, standard deviation) for all of the variables in states and time periods in which a Democrat won the gubernatorial election relative to those in which the Republican gubernatorial candidate won the
election, for black and white individuals separately. Briefly characterize this population and interpret the results [2 pt].
[Hint: use regress command using these predetermined and outcome characteristics as dependent variables, using option “if black2==1”; cluster standard errors at the state level using “cluster(state2)” option]

(b) Generate a set of Regression Discontinuity plots – for Black and White individuals separately – to show (a) the mean employment rate by win margin cell (using the margin of victory grouping cells (marginggg) as the running variable,
as well as (b) the fit of the relationship between group–specific employment rates and the running variable and potential discontinuity in states and time periods in which a Democract gubernatorial candidate won the election, using polynomial models. Interpret the results. [3 pts] [Hints: use collapse command, with option “by(marginggg black2) cw”. After running regressions on collapsed data and using the predict command to generate fits of the regression models, use the following graph command to generate each figure: twoway (scatter y x if z==1, xline(c_o)) (line y_hat x if z==1)]

(c) Using the larger dataset made available for the assignment, generate estimates of the discontinuity in employment rates of Black individuals using linear, quadratic, and cubic polynomial models on the running variable (margin of victory, or marginvvv), including state and year fixed effects. Assess the robustness of the estimates with and without predetermined individual controls (e.g., gender, age, education, marital status). Replicate the empirical exercise for White individuals. Interpret the results. [5 pts] [Hint: Estimate OLS regression models with i.state2 and i.year2 fixed effects, cluster standard errors at the state2 level]

(d) Generate analogous RD estimates using the local polynomial RD estimation using the Calonico, Cattaneo and Titiunik (2016) optimal bandwidth and robust (bias–corrected) confidence intervals procedure, for Black and White individuals separately. Interpret the results. [2 pts] [Hint: use rdrobust command using vce(cluster state2) option]

(e) Estimate the balance of predetermined covariates around the discontinuity as tests of the RDD continuity assumption using the available data, for Black and White individuals separately. For simplicity, you can use the Calonico, Cattaneo, and Titiunik (2016) rdrobust procedure. Interpret the results. What other tests could be conducted if you had access to the raw individual–level data? [3 pts]

(f) Bonus question: using the regression models in part (1c), test whether the election outcome at the discontinuity has statistically significantly different effects for Black and White individuals in these states. [No hints] [Bonus: 3 pts]