Bias from Classical and Other Forms of Measurement Error
We consider the implications of a specific alternative to the classical measurement error model, in which the data are optimal predictions based on some information set. One motivation for this model is that if respondents are aware of their ignorance they may interpret the question what is the value of this variable?' as what is your best estimate of this variable?', and provide optimal predictions of the variable of interest given their information set. In contrast to the classical measurement error model, this model implies that the measurement error is uncorrelated with the reported value and, by necessity, correlated with the true value of the variable. In the context of the linear regression framework, we show that measurement error can lead to over- as well as under-estimation of the coefficients of interest. Critical for determining the bias is the model for the individual reporting the mismeasured variables, the individual's information set, and the correlation structure of the errors. We also investigate the implications of instrumental variables methods in the presence of measurement error of the optimal prediction error form and show that such methods may in fact introduce bias. Finally, we present some calculations indicating that the range of estimates of the returns to education consistent with amounts of measurement error found in previous studies. This range can be quite wide, especially if one allows for correlation between the measurement errors.
|Date of creation:||Aug 2000|
|Date of revision:|
|Publication status:||published as Hyslop, Dean R. and Guido W. Imbens. "Bias From Classical And Other Forms Of Measurement Error," Journal of Business and Economic Statistics, 2001, v19(4,Oct), 475-481.|
|Contact details of provider:|| Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.|
Web page: http://www.nber.org
More information through EDIRC
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.:
- Leamer, Edward E, 1987.
"Errors in Variables in Linear Systems,"
Econometric Society, vol. 55(4), pages 893-909, July.
- David Card & Dean Hyslop, 1996.
"Does Inflation "Grease the Wheels of the Labor Market"?,"
NBER Working Papers
5538, National Bureau of Economic Research, Inc.
- David Card & Dean Hyslop, 1997. "Does Inflation "Grease the Wheels of the Labor Market"?," NBER Chapters, in: Reducing Inflation: Motivation and Strategy, pages 71-122 National Bureau of Economic Research, Inc.
- Alan Krueger & Orley Ashenfelter, 1992.
"Estimates of the Economic Return to Schooling from a New Sample of Twins,"
NBER Working Papers
4143, National Bureau of Economic Research, Inc.
- Ashenfelter, Orley & Krueger, Alan B, 1994. "Estimates of the Economic Returns to Schooling from a New Sample of Twins," American Economic Review, American Economic Association, vol. 84(5), pages 1157-73, December.
- Pischke, Jorn-Steffen, 1995.
"Measurement Error and Earnings Dynamics: Some Estimates from the PSID Validation Study,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 13(3), pages 305-14, July.
- Pischke, J.S., 1994. "Measurement Error and Earnings Dynamics: Some Estimates from the PSID Validation Study," Working papers 94-01, Massachusetts Institute of Technology (MIT), Department of Economics.
- Card, David, 1996. "The Effect of Unions on the Structure of Wages: A Longitudinal Analysis," Econometrica, Econometric Society, vol. 64(4), pages 957-79, July.
- Klepper, Steven & Leamer, Edward E, 1984. "Consistent Sets of Estimates for Regressions with Errors in All Variables," Econometrica, Econometric Society, vol. 52(1), pages 163-83, January.
- Bound, John & Krueger, Alan B, 1991.
"The Extent of Measurement Error in Longitudinal Earnings Data: Do Two Wrongs Make a Right?,"
Journal of Labor Economics,
University of Chicago Press, vol. 9(1), pages 1-24, January.
- John Bound & Alan B. Krueger, 1989. "The Extent of Measurement Error In Longitudinal Earnings Data: Do Two Wrongs Make A Right?," NBER Working Papers 2885, National Bureau of Economic Research, Inc.
- N. Gregory Mankiw & Matthew D. Shapiro, 1986. "News or Noise? An Analysis of GNP Revisions," NBER Working Papers 1939, National Bureau of Economic Research, Inc.
- 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.
- Angrist, Joshua D. & Krueger, Alan B., 1999.
"Empirical strategies in labor economics,"
Handbook of Labor Economics,
in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 23, pages 1277-1366
- Manski, C.F., 1989. "The Use Of Intentions Data To Predict Behaviour : A Best- Case Analysis," Working papers 8905, Wisconsin Madison - Social Systems.
When requesting a correction, please mention this item's handle: RePEc:nbr:nberte:0257. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.