IDEAS home Printed from https://ideas.repec.org/p/ldr/cssrwp/132.html
   My bibliography  Save this paper

Testing for a common latent variable in a linear regression: Or how to "fix" a bad variable by adding multiple proxies for it

Author

Listed:
  • Martin Wittenberg

    (School of Economics, University of Cape Town)

Abstract

We analyse models in which additional "controls" or proxies are included in a regression. This might occur intentionally if there is significant measurement error in a key regressor or if a key variable is not measured at all. We develop a test of the hypothesis that a subset of the regressors are all proxying for the same latent variable and we show how an estimate of the structural coefficient might be obtained more efficiently than is available in the current literature. We apply the procedure to the determinants of sleep among young South Africans. We show that the income variable in the time use survey is badly measured. Nevertheless the measured impact of income on sleep is significant and amounts to 35 minutes per day between children with the median income and those in the topmost income bracket. Including a variety of asset proxies increases the estimated size of the coefficient enormously. The specification tests indicate that some of the asset proxies, however, have independent effects. Access to electricity, in particular, is not simply proxying for income. Instead it seems to be capturing access to various forms of entertainment, such as television. Even when this independent effect is properly accounted for, the size of the income coefficient is still 40% to 100% larger than in the specifications without the proxies.

Suggested Citation

  • Martin Wittenberg, 2005. "Testing for a common latent variable in a linear regression: Or how to "fix" a bad variable by adding multiple proxies for it," SALDRU/CSSR Working Papers 132, Southern Africa Labour and Development Research Unit, University of Cape Town.
    • Handle: RePEc:ldr:cssrwp:132
    as

    Download full text from publisher

    File URL: https://www.opensaldru.uct.ac.za/handle/11090/661
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Martin Wittenberg, 2005. "The school day in South Africa," SALDRU/CSSR Working Papers 113, Southern Africa Labour and Development Research Unit, University of Cape Town.
    2. Darren Lubotsky & Martin Wittenberg, 2006. "Interpretation of Regressions with Multiple Proxies," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 549-562, August.
    3. Biddle, Jeff E & Hamermesh, Daniel S, 1990. "Sleep and the Allocation of Time," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 922-943, October.
    4. Roland G. Fryer & Paul S. Heaton & Steven D. Levitt & Kevin M. Murphy, 2005. "Measuring the Impact of Crack Cocaine," NBER Working Papers 11318, National Bureau of Economic Research, Inc.
    5. Filmer, Deon & Pritchett, Lant, 1998. "Estimating wealth effects without expenditure data - or tears : with an application to educational enrollments in states of India," Policy Research Working Paper Series 1994, The World Bank.
    6. Martin Browning & S¯ren Leth-Petersen, 2003. "Imputing consumption from income and wealth information," Economic Journal, Royal Economic Society, vol. 113(488), pages 282-301, June.
    7. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wittenberg, Martin, 2007. "Testing for a common latent variable in a linear regression," MPRA Paper 2550, University Library of Munich, Germany.
    2. Szalontai, Gabor, 2006. "The demand for sleep: A South African study," Economic Modelling, Elsevier, vol. 23(5), pages 854-874, September.
    3. Fahr, René, 2003. "Loafing or Learning? The Demand for Informal Education," IZA Discussion Papers 859, Institute of Labor Economics (IZA).
    4. Rashid, Dewan Arif & Smith, Lisa C. & Rahman, Tauhidur, 2011. "Determinants of Dietary Quality: Evidence from Bangladesh," World Development, Elsevier, vol. 39(12), pages 2221-2231.
    5. Acosta, Pablo, 2006. "Labor supply, school attendance, and remittances from international migration : the case of El Salvador," Policy Research Working Paper Series 3903, The World Bank.
    6. Wittenberg, Martin, 2011. "Estimating expenditure impacts without expenditure data using asset proxies," Economics Letters, Elsevier, vol. 110(2), pages 122-125, February.
    7. Martin Wittenberg, 2009. "Weighing the value of Asset Proxies: The case of the Body Mass Index in South Africa," SALDRU Working Papers 39, Southern Africa Labour and Development Research Unit, University of Cape Town.
    8. Evans Jadotte, 2009. "International Migration, Remittances and Labour Supply: The Case of the Republic of Haiti," WIDER Working Paper Series RP2009-28, World Institute for Development Economic Research (UNU-WIDER).
    9. Eskeland,Gunnar S. & Filmer,Deon P., 2002. "Autonomy, participation, and learning in Argentine schools - findings and their implications for decentralization," Policy Research Working Paper Series 2766, The World Bank.
    10. Dan A. Black & Jeffrey A. Smith, 2006. "Estimating the Returns to College Quality with Multiple Proxies for Quality," Journal of Labor Economics, University of Chicago Press, vol. 24(3), pages 701-728, July.
    11. Deon Filmer & Kinnon Scott, 2012. "Assessing Asset Indices," Demography, Springer;Population Association of America (PAA), vol. 49(1), pages 359-392, February.
    12. Hillebrand, Eric & Schnabl, Gunther & Ulu, Yasemin, 2009. "Japanese foreign exchange intervention and the yen-to-dollar exchange rate: A simultaneous equations approach using realized volatility," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 19(3), pages 490-505, July.
    13. Anikó Bíró, 2013. "Subjective mortality hazard shocks and the adjustment of consumption expenditures," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(4), pages 1379-1408, October.
    14. Zanini, Fabio C. & Irwin, Scott H. & Schnitkey, Gary D. & Sherrick, Bruce J., 2000. "Estimating Farm-Level Yield Distributions For Corn And Soybeans In Illinois," 2000 Annual meeting, July 30-August 2, Tampa, FL 21720, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    15. Giuseppe Croce & Emanuela Ghignoni, 2011. "Overeducation and spatial flexibility in Italian local labour markets," Working Papers in Public Economics 145, Department of Economics and Law, Sapienza University of Roma.
    16. Chasco, Coro & López, Ana María & Guillain, Rachel, 2008. "The non-stationary influence of geography on the spatial agglomeration of production in the EU," MPRA Paper 10737, University Library of Munich, Germany.
    17. Davidson, Russell & Flachaire, Emmanuel, 2007. "Asymptotic and bootstrap inference for inequality and poverty measures," Journal of Econometrics, Elsevier, vol. 141(1), pages 141-166, November.
    18. Darrian Collins & Clem Tisdell, 2004. "Outbound Business Travel Depends on Business Returns: Australian Evidence," Australian Economic Papers, Wiley Blackwell, vol. 43(2), pages 192-207, June.
    19. Caginalp, Gunduz & DeSantis, Mark, 2017. "Does price efficiency increase with trading volume? Evidence of nonlinearity and power laws in ETFs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 436-452.
    20. Jongeneel, Roelof A. & Ge, Lan, 2005. "Explaining Growth in Dutch Agriculture: Prices, Public R&D, and Technological Change," 2005 International Congress, August 23-27, 2005, Copenhagen, Denmark 24573, European Association of Agricultural Economists.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ldr:cssrwp:132. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Alison Siljeur (email available below). General contact details of provider: https://edirc.repec.org/data/sauctza.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.