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Food Stamps and Food Insecurity: What Can Be Learned in the Presence of Nonclassical Measurement Error?

  • Craig Gundersen
  • Brent Kreider

Policymakers have been puzzled to observe that food stamp households appear more likely to be food insecure than observationally similar eligible nonparticipating households. We reexamine this issue allowing for nonclassical reporting errors in food stamp participation and food insecurity. Extending the literature on partially identified parameters, we introduce a nonparametric framework that makes transparent what can be known about conditional probabilities when a binary outcome and conditioning variable are both subject to nonclassical measurement error. We find that the food insecurity paradox hinges on assumptions about the data that are not supported by the previous food stamp participation literature.

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Article provided by University of Wisconsin Press in its journal Journal of Human Resources.

Volume (Year): 43 (2008)
Issue (Month): 2 ()
Pages: 352-382

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Handle: RePEc:uwp:jhriss:v:43:y:2008:i:2:p:352-382
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  1. Gundersen, Craig & Ribar, David C., 2005. "Food Insecurity and Insufficiency at Low Levels of Food Expenditures," IZA Discussion Papers 1594, Institute for the Study of Labor (IZA).
  2. Moffitt, Robert, 1983. "An Economic Model of Welfare Stigma," American Economic Review, American Economic Association, vol. 73(5), pages 1023-35, December.
  3. George J. Borjas, 2001. "Food Insecurity and Public Assistance," JCPR Working Papers 243, Northwestern University/University of Chicago Joint Center for Poverty Research.
  4. Bollinger, Christopher R., 1996. "Bounding mean regressions when a binary regressor is mismeasured," Journal of Econometrics, Elsevier, vol. 73(2), pages 387-399, August.
  5. Craig Gundersen & Victor Oliveira, 2001. "The Food Stamp Program and Food Insufficiency," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(4), pages 875-887.
  6. Martin H. David & Christopher R. Bollinger, 2005. "I didn't tell, and I won't tell: dynamic response error in the SIPP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(4), pages 563-569.
  7. Frazis, Harley & Loewenstein, Mark A., 2003. "Estimating linear regressions with mismeasured, possibly endogenous, binary explanatory variables," Journal of Econometrics, Elsevier, vol. 117(1), pages 151-178, November.
  8. Molinari, Francesca, 2008. "Partial identification of probability distributions with misclassified data," Journal of Econometrics, Elsevier, vol. 144(1), pages 81-117, May.
  9. Kreider, Brent & Pepper, John V., 2003. "Disability and Employment: Reevaluating the Evidence in Light of Reporting Errors," Staff General Research Papers 10229, Iowa State University, Department of Economics.
  10. Barron, John M & Berger, Mark C & Black, Dan A, 1997. "Employer Search, Training, and Vacancy Duration," Economic Inquiry, Western Economic Association International, vol. 35(1), pages 167-92, January.
  11. Gundersen, Craig & Weinreb, Linda & Wehler, Cheryl & Hosmer, David, 2003. "Homelessness and food insecurity," Journal of Housing Economics, Elsevier, vol. 12(3), pages 250-272, September.
  12. Brent Kreider & Steven C. Hill, 2009. "Partially Identifying Treatment Effects with an Application to Covering the Uninsured," Journal of Human Resources, University of Wisconsin Press, vol. 44(2).
  13. Hamelin, Anne-Marie & Beaudry, Micheline & Habicht, Jean-Pierre, 2002. "Characterization of household food insecurity in Québec: food and feelings," Social Science & Medicine, Elsevier, vol. 54(1), pages 119-132, January.
  14. John Pepper & Brent Kreider, 2001. "Inferring Disability Status from Corrupt Data," Virginia Economics Online Papers 354, University of Virginia, Department of Economics.
  15. Kreider, Brent, 1999. "Latent Work Disability and Reporting Bias," Staff General Research Papers 5185, Iowa State University, Department of Economics.
  16. Craig Gundersen & Susan Offutt, 2005. "Farm Poverty and Safety Nets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(4), pages 885-899.
  17. Christopher Bollinger & Martin H. David, 2000. "Estimation with Response Error and Non-Response: Food Stamp Participation in the SIPP," Econometric Society World Congress 2000 Contributed Papers 0198, Econometric Society.
  18. Marianne Bitler & Craig Gundersen & Grace S. Marquis, 2005. "Are WIC Nonrecipients at Less Nutritional Risk Than Recipients? An Application of the Food Security Measure ," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 27(3), pages 433-438.
  19. Bhattacharya, Jayanta & Currie, Janet & Haider, Steven, 2004. "Poverty, food insecurity, and nutritional outcomes in children and adults," Journal of Health Economics, Elsevier, vol. 23(4), pages 839-862, July.
  20. John V. Pepper, 2000. "The Intergenerational Transmission Of Welfare Receipt: A Nonparametric Bounds Analysis," The Review of Economics and Statistics, MIT Press, vol. 82(3), pages 472-488, August.
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  22. Ribar, David C. & Hamrick, Karen S., 2003. "Dynamics Of Poverty And Food Sufficiency," Food Assistance and Nutrition Research Reports 33851, United States Department of Agriculture, Economic Research Service.
  23. Horowitz, Joel L & Manski, Charles F, 1995. "Identification and Robustness with Contaminated and Corrupted Data," Econometrica, Econometric Society, vol. 63(2), pages 281-302, March.
  24. Bound, John & Burkhauser, Richard V., 1999. "Economic analysis of transfer programs targeted on people with disabilities," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 51, pages 3417-3528 Elsevier.
  25. Black, Dan & Sanders, Seth & Taylor, Lowell, 2003. "Measurement of Higher Education in the Census and Current Population Survey," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 545-554, January.
  26. Mark C. Berger & Dan A. Black & Frank A. Scott, 1998. "How Well Do We Measure Employer-Provided Health Insurance Coverage?," Contemporary Economic Policy, Western Economic Association International, vol. 16(3), pages 356-367, 07.
  27. Donna K. Ginther, 2000. "Alternative Estimates of the Effect of Schooling on Earnings," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 103-116, February.
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