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Sample Attrition in the presence of Population Attrition

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Seik Kim

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Abstract

This paper develops a method that accounts for non-ignorable sample attrition in the presence of population attrition for use with a non-representative panel sample. The method is applied to obtain attrition-correcting weights for the native and immigrant samples in the matched Current Population Survey (CPS). Of the two samples, the immigrant sample suffers from sample attrition due to changes in residence as well as population attrition caused by selective return migration. When there is population attrition, the second period cross-section is not representative of the first period population. Therefore, the existing sample attrition-correcting method developed by Hirano, Imbens, Ridder, and Rubin (2001) and Bhattacharya (2008) cannot be applied. We resolve this problem by generating a counterfactual, but representative cross-section prior to applying their method. The counterfactual sample can be obtained by weighting the second period cross-section by one minus the probability of population attrition. We show that the sample attrition and the population attrition processes are separately identified. This is useful because samples usually do not indicate which missing observations are due to sample attrition and which are due to population attrition. The attrition-correcting weights, once obtained, can be used in various studies of immigration using the CPS.

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Paper provided by University of Washington, Department of Economics in its series Working Papers with number UWEC-2009-02.

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Handle: RePEc:udb:wpaper:uwec-2009-02

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Thomas Lemieux, 2006. "Increasing Residual Wage Inequality: Composition Effects, Noisy Data, or Rising Demand for Skill?," American Economic Review, American Economic Association, vol. 96(3), pages 461-498, June. [Downloadable!]
  2. George J. Borjas & Bernt Bratsberg, 1994. "Who Leaves? The Outmigration of the Foreign-Born," NBER Working Papers 4913, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Keisuke Hirano & Guido W. Imbens & Geert Ridder & Donald B. Rubin, 2001. "Combining Panel Data Sets with Attrition and Refreshment Samples," Econometrica, Econometric Society, vol. 69(6), pages 1645-1659, November. [Downloadable!] (restricted)
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  4. Barth, Erling & Bratsberg, Bernt & Raaum, Oddbjørn, 2003. "Local Unemployment and the Relative Wages of Immigrants: Evidence from the Current Population Surveys," Memorandum 20/2002, Oslo University, Department of Economics. [Downloadable!]
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  5. Xiaohong Chen & Han Hong & Elie Tamer, 2005. "Measurement Error Models with Auxiliary Data," Review of Economic Studies, Blackwell Publishing, vol. 72(2), pages 343-366, 04. [Downloadable!] (restricted)
  6. Peracchi, Franco & Welch, Finis, 1995. "How representative are matched cross-sections? Evidence from the Current Population Survey," Journal of Econometrics, Elsevier, vol. 68(1), pages 153-179, July. [Downloadable!] (restricted)
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  7. Borjas, George J., 1999. "The economic analysis of immigration," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 28, pages 1697-1760 Elsevier. [Downloadable!] (restricted)
  8. Yuichi Kitamura & Gautam Tripathi & Hyungtaik Ahn, 2001. "Empirical Likelihood-Based Inference in Conditional Moment Restriction Models," CIRJE F-Series CIRJE-F-124, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
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  9. Ridder, Geert & Moffitt, Robert, 2007. "The Econometrics of Data Combination," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 75 Elsevier. [Downloadable!] (restricted)
  10. Guell, Maia & Hu, Luojia, 2006. "Estimating the probability of leaving unemployment using uncompleted spells from repeated cross-section data," Journal of Econometrics, Elsevier, vol. 133(1), pages 307-341, July. [Downloadable!] (restricted)
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  11. Seik Kim, . "Economic Assimilation of Foreign-Born Workers in the United States: An Overlapping Rotating Panel Analysis," Working Papers UWEC-2008-19, University of Washington, Department of Economics. [Downloadable!]
  12. Chunrong Ai & Xiaohong Chen, 2003. "Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions," Econometrica, Econometric Society, vol. 71(6), pages 1795-1843, November. [Downloadable!] (restricted)
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  1. Seik Kim, . "Economic Assimilation of Foreign-Born Workers in the United States: An Overlapping Rotating Panel Analysis," Working Papers UWEC-2008-19, University of Washington, Department of Economics. [Downloadable!]
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