Advanced Search
MyIDEAS: Login

Regression with Imputed Covariates:a Generalized Missing Indicator Approach

Contents:

Author Info

Abstract

A common problem in applied regression analysis is that covariate values may be missing for some observations but imputed values may be available. This situation generates a trade-off between bias and precision: the complete cases are often disarmingly few, but replacing the missing observations with the imputed values to gain precision may lead to bias. In this paper we formalize this trade-off by showing that one can augment the regression model with a set of auxiliary variables so as to obtain, under weak assumptions about the imputations, the same unbiased estimator of the parameters of interest as complete-case analysis. Given this augmented model, the bias-precision trade-off may then be tackled by either model reduction procedures or model averaging methods. We illustrate our approach by considering the problem of estimating the relation between income and the body mass index (BMI) using survey data affected by item non-response, where the missing values on the main covariates are filled in by imputations.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: ftp://www.ceistorvergata.it/repec/rpaper/RP150.pdf
File Function: Main text
Download Restriction: no

Bibliographic Info

Paper provided by Tor Vergata University, CEIS in its series CEIS Research Paper with number 150.

as in new window
Length: 13 pages
Date of creation: 08 Oct 2009
Date of revision: 08 Oct 2009
Handle: RePEc:rtv:ceisrp:150

Contact details of provider:
Postal: CEIS - Centre for Economic and International Studies - Faculty of Economics - University of Rome "Tor Vergata" - Via Columbia, 2 00133 Roma
Phone: +390672595601
Fax: +39062020687
Email:
Web page: http://www.ceistorvergata.it
More information through EDIRC

Order Information:
Postal: CEIS - Centre for Economic and International Studies - Faculty of Economics - University of Rome "Tor Vergata" - Via Columbia, 2 00133 Roma
Email:
Web: http://www.ceistorvergata.it

Related research

Keywords: Missing covariates; Imputations; Bias-precision trade-off; Model reduction; Model averaging; BMI and income.;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

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.:
as in new window
  1. Magnus, Jan R. & Powell, Owen & Prüfer, Patricia, 2010. "A comparison of two model averaging techniques with an application to growth empirics," Journal of Econometrics, Elsevier, vol. 154(2), pages 139-153, February.
  2. David M. Cutler & Edward L. Glaeser & Jesse M. Shapiro, 2003. "Why Have Americans Become More Obese?," Harvard Institute of Economic Research Working Papers 1994, Harvard - Institute of Economic Research.
  3. Tomas Philipson & Richard Posner, 2008. "Is the Obesity Epidemic a Public Health Problem? A Decade of Research on the Economics of Obesity," NBER Working Papers 14010, National Bureau of Economic Research, Inc.
  4. Horton, Nicholas J. & Kleinman, Ken P., 2007. "Much Ado About Nothing: A Comparison of Missing Data Methods and Software to Fit Incomplete Data Regression Models," The American Statistician, American Statistical Association, vol. 61, pages 79-90, February.
  5. Jan R. Magnus & J. Durbin, 1999. "Estimation of Regression Coefficients of Interest When Other Regression Coefficients Are of No Interest," Econometrica, Econometric Society, vol. 67(3), pages 639-644, May.
  6. Jaume Garcia Villar & Climent Quintana-Domeque, 2006. "Income and body mass index in Europe," Economics Working Papers 1001, Department of Economics and Business, Universitat Pompeu Fabra, revised May 2008.
  7. Xavier Sala-I-Martin & Gernot Doppelhofer & Ronald I. Miller, 2004. "Determinants of Long-Term Growth: A Bayesian Averaging of Classical Estimates (BACE) Approach," American Economic Review, American Economic Association, vol. 94(4), pages 813-835, September.
  8. Cutler, David & Shapiro, Jesse & Glaeser, Edward, 2003. "Why Have Americans Become More Obese," Scholarly Articles 2640583, Harvard University Department of Economics.
  9. John Cawley & John R. Moran & Kosali I. Simon, 2008. "The Impact of Income on the Weight of Elderly Americans," NBER Working Papers 14104, National Bureau of Economic Research, Inc.
  10. Sanz-de-Galdeano, Anna, 2005. "The Obesity Epidemic in Europe," IZA Discussion Papers 1814, Institute for the Study of Labor (IZA).
  11. Danilov, Dmitry & Magnus, J.R.Jan R., 2004. "On the harm that ignoring pretesting can cause," Journal of Econometrics, Elsevier, vol. 122(1), pages 27-46, September.
  12. Julia Campos & Neil R. Ericsson & David F. Hendry, 2005. "General-to-specific modeling: an overview and selected bibliography," International Finance Discussion Papers 838, Board of Governors of the Federal Reserve System (U.S.).
Full references (including those not matched with items on IDEAS)

Citations

Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. Gli esperti di valutazione all’italiana
    by Alberto Baccini in ROARS - Return on Academic Research on 2011-12-16 15:45:50
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. De Luca, G. & Magnus, J.R., 2011. "Bayesian Model Averaging and Weighted Average Least Squares: Equivariance, Stability, and Numerical Issues," Discussion Paper 2011-082, Tilburg University, Center for Economic Research.
  2. Valentino Dardanoni & Giuseppe De Luca & Salvatore Modica & Franco Peracchi, 2011. "A Generalized Missing-Indicator Approach to Regression with Imputed Covariates," EIEF Working Papers Series 1111, Einaudi Institute for Economic and Finance (EIEF), revised May 2011.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:rtv:ceisrp:150

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Barbara Piazzi).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.