Myoung-jae Lee () (Department of Economics, Korea University) Sang-jun Lee
Abstract
The main difficulty in treatment effect analysis with matching is accounting for unobserved differences (i.e., selection problem) between the treatment and control groups, because matching assumes no such differences. The traditional way to tackle the difficulty has been ¡®control function¡¯ approaches with selection correction terms. This paper examines relatively new approaches: sensitivity analyses?sensitivity to unobservables?in Rosenbaum (1987), Gastwirth et al. (1998), and Lee (2004). These sensitivity analyses are applied to the data used in Lee and Lee (2005) to see how the assumption of no unobserved difference in matching affects the findings in Lee and Lee, to compare how the different sensitivity analyses perform, and to relate the ¡®sensitivity parameters¡¯ in the different sensitivity analyses to one another. We find (i) the conclusions in Lee and Lee are weakened in the sense that only the ¡®strong¡¯ ones survive, (ii) the sensitivity analysis in Rosenbaum (1987) is too conservative (and inferior to Gastwirth et al.¡¯s), and (iii) Gastwirth et al.¡¯s (1998) and Lee¡¯s (2004) approaches agree on some findings to be insensitive, but the two approaches also disagree on some other findings. We also look for ¡®comparable values¡¯ for the sensitivity parameters such that the resulting sensitivity findings are comparable across the different sensitivity analyses.
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Publisher Info
Paper provided by Institute of Economic Research, Korea University in its series Discussion Paper Series with number
0720.