Abstract
It is common practice for policymakers to perform ex post evaluation of the impact of economic and social programs via evidence-based statistical analysis. This effort is mainly devoted to measure the “causal effects” of an intervention on the part of an external authority (generally, a local or national government) on a set of subjects (people, companies, etc.) targeted by the program. Evidence-based evaluation is progressively becoming an integral part of many policies worldwide. The main motivation resides in the fact that, when a public authority chooses to support private entities by costly interventions, a responsibility towards taxpayers is assumed. This commitment, constitutionally recognized in several countries, draws upon the principle that, since many alternative uses of the same amount of money are generally possible, any misuse of it is seen as waste, especially under severe budget constraints.
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- 1.
A wide range of literature witnesses this relevance. See reviews and books such as: Heckman (2000); Heckman et al. (2000); Blundell and Costa Dias (2002); Shadish et al. (2002); Cobb-Clark and Crossley (2003); Imbens (2004); Lee (2005); Morgan and Winship (2007); Imbens and Wooldridge (2009); Angrist and Pischke (2008); Millimet et al. (2008); Imbens and Wooldridge (2009); Cerulli (2010); Guo and Fraser (2010); Wooldridge (2002, Chap. 18); Wooldridge (2010, Chap. 21).
- 2.
Probably more explicit in this direction might be the recent developments in the field of “continuous treatment” where the treatment variable x assumes a continuous form. In this case, although the setting is very close to the traditional econometric regression, the counterfactual approach provides new insights on the meaning of causal parameters, as in the definition and estimation of the Average Partial Effect (Wooldridge 2001) or of the Average Potential Outcome (Hirano and Imbens 2004).
- 3.
- 4.
See Lee (2005, pp. 12–13) for a simple numerical example of such a situation.
- 5.
- 6.
Observe that the lower bound of ATE(x) is equal to the lower bound of p(Y 1 = 1 | x) minus the upper bound of p(Y 0 = 1 | x), while the upper bound of ATE(x) is equal to the upper bound of p(Y 1 = 1 | x) minus the lower bound of p(Y 0 = 1 | x).
- 7.
Observe that an estimation of p(D = 0 | x) is obtained as \( \left[1-\widehat{p}\left(D=1\Big|\mathbf{x}\right)\right] \).
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Cerulli, G. (2015). An Introduction to the Econometrics of Program Evaluation. In: Econometric Evaluation of Socio-Economic Programs. Advanced Studies in Theoretical and Applied Econometrics, vol 49. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46405-2_1
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