[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/fip/fedgfe/2008-15.html
   My bibliography  Save this paper

Lack of signal error (LoSE) and implications for OLS regression: measurement error for macro data

Author

Listed:
  • Jeremy J. Nalewaik
Abstract
This paper proposes a simple generalization of the classical measurement error model, introducing new measurement errors that subtract signal from the true variable of interest, in addition to the usual classical measurement errors (CME) that add noise. The effect on OLS regression of these lack of signal errors (LoSE) is opposite the conventional wisdom about CME: while CME in the explanatory variables causes attenuation bias, LoSE in the dependent variable, not the explanatory variables, causes a similar bias under some conditions. In addition, LoSE in the dependent variable shrinks the variance of the regression residuals, making inference potentially misleading. The paper provides evidence that LoSE is an important source of error in US macroeconomic quantity data such as GDP growth, illustrates downward bias in regressions of GDP growth on asset prices, and provides recommendations for econometric practice.

Suggested Citation

  • Jeremy J. Nalewaik, 2008. "Lack of signal error (LoSE) and implications for OLS regression: measurement error for macro data," Finance and Economics Discussion Series 2008-15, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgfe:2008-15
    as

    Download full text from publisher

    File URL: http://www.federalreserve.gov/pubs/feds/2008/200815/200815abs.html
    Download Restriction: no
    File URL: http://www.federalreserve.gov/pubs/feds/2008/200815/200815pap.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Martin D. D. Evans & Richard K. Lyons, 2017. "Meese-Rogoff Redux: Micro-Based Exchange-Rate Forecasting," World Scientific Book Chapters, in: Studies in Foreign Exchange Economics, chapter 11, pages 457-475, World Scientific Publishing Co. Pte. Ltd..
    2. Jeremy J. Nalewaik, 2007. "Incorporating vintage differences and forecasts into Markov switching models," Finance and Economics Discussion Series 2007-23, Board of Governors of the Federal Reserve System (U.S.).
    3. Martin D. D. Evans & Richard K. Lyons, 2017. "Exchange Rate Fundamentals and Order Flow," World Scientific Book Chapters, in: Studies in Foreign Exchange Economics, chapter 16, pages 645-724, World Scientific Publishing Co. Pte. Ltd..
    4. Christian Broda & David E. Weinstein, 2010. "Product Creation and Destruction: Evidence and Price Implications," American Economic Review, American Economic Association, vol. 100(3), pages 691-723, June.
    5. Karen E. Dynan & Douglas W. Elmendorf, 2001. "Do provisional estimates of output miss economic turning points?," Finance and Economics Discussion Series 2001-52, Board of Governors of the Federal Reserve System (U.S.).
    6. John Y. Campbell & N. Gregory Mankiw, 1989. "Consumption, Income, and Interest Rates: Reinterpreting the Time Series Evidence," NBER Chapters, in: NBER Macroeconomics Annual 1989, Volume 4, pages 185-246, National Bureau of Economic Research, Inc.
    7. repec:fth:harver:1435 is not listed on IDEAS
    8. Dennis J. Fixler & Jeremy J. Nalewaik, 2007. "News, noise, and estimates of the \"true\" unobserved state of the economy," Finance and Economics Discussion Series 2007-34, Board of Governors of the Federal Reserve System (U.S.).
    9. Dennis Fixler & Bruce Grimm, 2006. "GDP Estimates: Rationality Tests and Turning Point Performance," Journal of Productivity Analysis, Springer, vol. 25(3), pages 213-229, June.
    10. Fama, Eugene F, 1990. "Stock Returns, Expected Returns, and Real Activity," Journal of Finance, American Finance Association, vol. 45(4), pages 1089-1108, September.
    11. Kimball, Miles S & Sahm, Claudia R & Shapiro, Matthew D, 2008. "Imputing Risk Tolerance From Survey Responses," Journal of the American Statistical Association, American Statistical Association, vol. 103(483), pages 1028-1038.
    12. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    13. Estrella, Arturo & Hardouvelis, Gikas A, 1991. "The Term Structure as a Predictor of Real Economic Activity," Journal of Finance, American Finance Association, vol. 46(2), pages 555-576, June.
    14. Faust, Jon & Rogers, John H. & Wang, Shing-Yi B. & Wright, Jonathan H., 2007. "The high-frequency response of exchange rates and interest rates to macroeconomic announcements," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1051-1068, May.
    15. 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.
    16. Chen, Nai-Fu, 1991. "Financial Investment Opportunities and the Macroeconomy," Journal of Finance, American Finance Association, vol. 46(2), pages 529-554, June.
    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. Lettau, Martin & Ludvigson, Sydney, 2002. "Time-varying risk premia and the cost of capital: An alternative implication of the Q theory of investment," Journal of Monetary Economics, Elsevier, vol. 49(1), pages 31-66, January.
    2. Jeremy J. Nalewaik, 2014. "Missing Variation in the Great Moderation: Lack of Signal Error and OLS Regression," Finance and Economics Discussion Series 2014-27, Board of Governors of the Federal Reserve System (U.S.).
    3. Dominguez, Kathryn M.E. & Panthaki, Freyan, 2006. "What defines `news' in foreign exchange markets?," Journal of International Money and Finance, Elsevier, vol. 25(1), pages 168-198, February.
    4. Fabio ALESSANDRINI, 2003. "Do Financial Variables Provide Information about the Swiss Business Cycle ?," Cahiers de Recherches Economiques du Département d'économie 03.02, Université de Lausanne, Faculté des HEC, Département d’économie.
    5. Nalewaik, Jeremy J., 2011. "Incorporating vintage differences and forecasts into Markov switching models," International Journal of Forecasting, Elsevier, vol. 27(2), pages 281-307, April.
    6. Dennis J. Fixler & Jeremy J. Nalewaik, 2007. "News, noise, and estimates of the \"true\" unobserved state of the economy," Finance and Economics Discussion Series 2007-34, Board of Governors of the Federal Reserve System (U.S.).
    7. Nalewaik, Jeremy J., 2011. "Incorporating vintage differences and forecasts into Markov switching models," International Journal of Forecasting, Elsevier, vol. 27(2), pages 281-307.
    8. Nalewaik, Jeremy J., 2006. "Current consumption and future income growth: Synthetic panel evidence," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 2239-2266, November.
    9. Oral Erdogan & Paul Bennett & Cenktan Ozyildirim, 2015. "Recession Prediction Using Yield Curve and Stock Market Liquidity Deviation Measures," Review of Finance, European Finance Association, vol. 19(1), pages 407-422.
    10. Rime, Dagfinn & Sarno, Lucio & Sojli, Elvira, 2010. "Exchange rate forecasting, order flow and macroeconomic information," Journal of International Economics, Elsevier, vol. 80(1), pages 72-88, January.
    11. Long Chen & Lu Zhang, 2009. "The stock market and aggregate employment," NBER Working Papers 15219, National Bureau of Economic Research, Inc.
    12. Ang, Andrew & Piazzesi, Monika & Wei, Min, 2006. "What does the yield curve tell us about GDP growth?," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 359-403.
    13. Angelidis, Timotheos & Michairinas, Athanasios & Sakkas, Athanasios, 2024. "World ESG performance and economic activity," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 93(C).
    14. Drobetz, Wolfgang & Kugler, Peter & Wanzenried, Gabrielle & Zimmermann, Heinz, 2009. "Heterogeneity in asset allocation decisions: Empirical evidence from Switzerland," International Review of Financial Analysis, Elsevier, vol. 18(1-2), pages 84-93, March.
    15. Cremers, Martijn & Fleckenstein, Matthias & Gandhi, Priyank, 2021. "Treasury yield implied volatility and real activity," Journal of Financial Economics, Elsevier, vol. 140(2), pages 412-435.
    16. Michael P. Clements, 2014. "Anticipating Early Data Revisions to US GDP and the Effects of Releases on Equity Markets," ICMA Centre Discussion Papers in Finance icma-dp2014-06, Henley Business School, University of Reading.
    17. Hettihewa, Samanthala & Saha, Shrabani & Zhang, Hanxiong, 2018. "Does an aging population influence stock markets? Evidence from New Zealand," Economic Modelling, Elsevier, vol. 75(C), pages 142-158.
    18. Kathryn M. E. Dominguez & Freyan Panthaki, 2007. "The influence of actual and unrequited interventions," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 12(2), pages 171-200.
    19. Cooper, Michael J. & Gubellini, Stefano, 2011. "The critical role of conditioning information in determining if value is really riskier than growth," Journal of Empirical Finance, Elsevier, vol. 18(2), pages 289-305, March.
    20. de Mendonça, Helder Ferreira & Díaz, Raime Rolando Rodríguez, 2023. "Can ignorance about the interest rate and macroeconomic surprises affect the stock market return? Evidence from a large emerging economy," The North American Journal of Economics and Finance, Elsevier, vol. 64(C).

    More about this item

    Keywords

    Error analysis (Mathematics); Gross domestic product;

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:fip:fedgfe:2008-15. 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: Ryan Wolfslayer ; Keisha Fournillier (email available below). General contact details of provider: https://edirc.repec.org/data/frbgvus.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.