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Milwaukee County with Geographic Discontinuity Based on Milwaukee City Limit Note: Areas outside Milwaukee County did not have any initiatives on the ballot.  

Milwaukee County with Geographic Discontinuity Based on Milwaukee City Limit Note: Areas outside Milwaukee County did not have any initiatives on the ballot.  

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Political scientists often turn to natural experiments to draw causal inferences with observational data. Recently, the regression discontinuity design (RD) has become a popular type of natural experiment due to its relatively weak assumptions. We study a special type of regression discontinuity design where the discontinuity in treatment assignmen...

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... Geographic regression discontinuity design (GRDD) is an extended form of regression discontinuity design (RDD) [33], initially proposed by Hahn et al. (2001) [34], and further developed with a more robust theoretical foundation by Imbens and Lemieux (2008) [35] as well as [36]. This approach leverages discontinuities in geographical boundaries or spatial distributions to estimate causal effects. ...
... Rischard et al. (2021) utilized GRDD to simulate spatial structures and explore the impact of school districts on housing prices in New York City [41]. applied the GRDD to re-examine the effects of political advertisements on voter turnout during a presidential campaign, leveraging exogenous variations in the volume of presidential ads created by media market boundaries [36]. D'Arcangelo and Percoco (2015) employed the GRDD method, controlling for dynamic differences in geographic variables, to overcome some limitations of simple discontinuity designs, and studied the impact of road pricing schemes (Ecopass) on the housing market from the perspective of rent changes [42]. ...
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... Standard RD estimation methods that include two running variables can be applied to geographic RD designs with minor adjustments. For further information on geographic RD, refer to Keele and Titiunik (2015). ...
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... The intuition is that households or individuals very close to each other but separated by this threshold are similar in observable and unobservable characteristics. In a particular type of RD study, the discontinuity in treatment is geographic -often an administrative boundary that divides individuals into two groups (Keele & Titiunik, 2015). Our study began by verifying the existence of marked geographic discontinuities in piped water provision in the peri-urban areas of metropolitan Lima. ...
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... However, incorporating causal modeling in a spatial setting potentially violates the no interference assumption (SUTVA) as discussed at length in Keele and Titiunik (2015) and Noreen (2018). In investigating the effect of convenience voting and voter turnout, Keele and Titiunik (2015) are concerned about interference and spillover effects -the units (individuals) may be influenced due to proximity of geographical regions (or influenced at the workplace or by their social network, etc.). ...
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