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Title: Sensitivity to Missing Data Assumptions: Theory and An Evaluation of the US Wage Structure

Citation Type: Miscellaneous

Publication Year: 2010

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Abstract: This paper develops methods for assessing the sensitivity of empirical conclusions regarding conditional distributions to departures from the missing at random (MAR) assumption.We index the degree of non-ignorable selection governing the missingness process by the maximal Kolmogorov-Smirnov (KS) distance between the distributions of missing and observedoutcomes across all values of the covariates. Sharp bounds on minimum mean square approximations to conditional quantiles are derived as a function of the nominal level of selection considered in the sensitivity analysis and a weighted bootstrap procedure is developed forconducting inference. Using these techniques, we conduct an empirical assessment of the sensitivity of observed earnings patterns in U.S. Census data to deviations from the MARassumption. We nd that the well-documented increase in the returns to schooling between 1980 and 1990 is relatively robust to deviations from the missing at random assumption except at the lowest quantiles of the distribution, but that conclusions regarding heterogeneity in returns and changes in the returns function between 1990 and 2000 are very sensitive to departures from ignorability.

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Authors: Kline, Patrick; Santos, Andres

Publisher: UC Berkeley

Data Collections: IPUMS USA

Topics: Labor Force and Occupational Structure, Methodology and Data Collection

Countries: United States