Are two cheap, noisy measures better than one expensive, accurate one?
1. Survey responses are always subject to measurement error. In general surveys (and especially longitudinal surveys), there are severe constraints on the time that can be spent eliciting a less noisy response for any target variable. In this paper we consider when it may be better to consider multiple noisy measures of the target measure rather than improving the reliability of a single measure. 2. The Kotlarski result states that if the measurement errors in two measures of the same target variable are mutually independent and independent of the true value then we can recover the entire distribution of the quantity of interest, up to location. 3. We consider designing surveys to deliver measurement error with desirable properties. This shifts the emphasis from reliability (the signal to noise ratio for any given measure) to the joint properties of the multiple measures. 4. To illustrate our ideas, we consider a concrete example: the measurement of consumption inequality. A small simulation study suggests that the approach we propose has promise. The next step in this research agenda is experiments in survey data collection.
|Date of creation:||19 Jan 2009|
|Contact details of provider:|| Postal: The Institute for Fiscal Studies 7 Ridgmount Street LONDON WC1E 7AE|
Phone: (+44) 020 7291 4800
Fax: (+44) 020 7323 4780
Web page: http://www.ifs.org.uk
More information through EDIRC
|Order Information:|| Postal: The Institute for Fiscal Studies 7 Ridgmount Street LONDON WC1E 7AE|
References listed on IDEAS
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.:
- Martin Browning & Thomas F. Crossley & Guglielmo Weber, 2003.
"Asking consumption questions in general purpose surveys,"
Royal Economic Society, vol. 113(491), pages 540-567, November.
- Martin Browning & Thomas F. Crossley & Gugliemo Weber, 2002. "Asking Consumption Questions in General Purpose Surveys," CAM Working Papers 2002-05, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
- Martin Browning & Thomas F. Crossley & Guglielmo Weber, 2002. "Asking Consumption Questions in General Purpose Surveys," Social and Economic Dimensions of an Aging Population Research Papers 77, McMaster University.
- Richard Blundell & Luigi Pistaferri & Ian Preston, 2004. "Imputing consumption in the PSID using food demand estimates from the CEX," IFS Working Papers W04/27, Institute for Fiscal Studies.
- Erich Battistin & Richard Blundell & Arthur Lewbel, 2009. "Why Is Consumption More Log Normal than Income? Gibrat's Law Revisited," Journal of Political Economy, University of Chicago Press, vol. 117(6), pages 1140-1154, December.
- Erich Battistin & Richard Blundell & Arthur Lewbel, 2007. "Why is consumption more log normal than income? Gibrat's law revisited," IFS Working Papers W07/08, Institute for Fiscal Studies.
- Erich Battistin & Richard Blundell & Arthur Lewbel, 2007. "Why is Consumption More Log Normal Than Income? Gibrat's Law Revisited," Boston College Working Papers in Economics 671, Boston College Department of Economics.
- Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, January.
- Bound, John & Brown, Charles & Mathiowetz, Nancy, 2001. "Measurement error in survey data," Handbook of Econometrics,in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 59, pages 3705-3843 Elsevier.
- Cutler, David M & Katz, Lawrence F, 1992. "Rising Inequality? Changes in the Distribution of Income and Consumption in the 1980's," American Economic Review, American Economic Association, vol. 82(2), pages 546-551, May.
- David M. Cutler & Lawrence F. Katz, 1992. "Rising Inequality? Changes in the Distribution of Income and Consumption in the 1980s," NBER Working Papers 3964, National Bureau of Economic Research, Inc.
- Martin Browning & Thomas Crossley, 2009. "Are Two Cheap, Noisy Measures Better Than One Expensive, Accurate One?," American Economic Review, American Economic Association, vol. 99(2), pages 99-103, May.
- Martin Browning & Thomas Crossley, 2009. "Are two cheap, noisy measures better than one expensive, accurate one?," IFS Working Papers W09/01, Institute for Fiscal Studies.
- Martin Browning & Mette Gørtz, 2012. "Spending Time and Money within the Household," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(3), pages 681-704, September.
- Richard Blundell & Ian Preston, 1998. "Consumption Inequality and Income Uncertainty," The Quarterly Journal of Economics, Oxford University Press, vol. 113(2), pages 603-640.
- Richard Blundell & Ian Preston, 1997. "Consumption, inequality and income uncertainty," IFS Working Papers W97/15, Institute for Fiscal Studies.
- Menno Pradhan, 2009. "Welfare Analysis with a Proxy Consumption Measure: Evidence from a Repeated Experiment in Indonesia," Fiscal Studies, Institute for Fiscal Studies, vol. 30(Special I), pages 391-417, December.
- Li, Tong & Vuong, Quang, 1998. "Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 139-165, May.
- Skinner, Jonathan, 1987. "A superior measure of consumption from the panel study of income dynamics," Economics Letters, Elsevier, vol. 23(2), pages 213-216.
- Naeem Ahmed & Matthew Brzozowski & Thomas Crossley, 2006. "Measurement errors in recall food consumption data," IFS Working Papers W06/21, Institute for Fiscal Studies. Full references (including those not matched with items on IDEAS)