IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v108y2010i1p73-76.html
   My bibliography  Save this article

Two geometric representations of confidence intervals for ratios of linear combinations of regression parameters: An application to the NAIRU

Author

Abstract

We present two geometric representations of the Fieller confidence interval for the ratio of regression parameter estimates using standard statistics packages. These methods are used to interpret the estimation of the NAIRU for Australia.

Suggested Citation

  • Hirschberg, J.G. & Lye, J.N., 2010. "Two geometric representations of confidence intervals for ratios of linear combinations of regression parameters: An application to the NAIRU," Economics Letters, Elsevier, vol. 108(1), pages 73-76, July.
    • Handle: RePEc:eee:ecolet:v:108:y:2010:i:1:p:73-76
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1765(10)00119-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Valentine, T. J., 1979. "Hypothesis tests and confidence intervals for mean elasticities calculated from linear regression equations," Economics Letters, Elsevier, vol. 4(4), pages 363-367.
    2. Gruen, David & Pagan, Adrian & Thompson, Christopher, 1999. "The Phillips curve in Australia," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 223-258, October.
    3. Joseph G. Hirschberg & Jenny N. Lye, 2004. "Inferences for the Extremum of Quadratic Regression Models," Department of Economics - Working Papers Series 906, The University of Melbourne.
    4. Blomqvist, A G, 1973. "Hypothesis Tests and Confidence Intervals for Steady-State Coefficients in Models with Lagged Dependent Variables: Some Notes in Fieller's Method," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 35(1), pages 69-74, February.
    5. Jean-Marie Dufour, 1997. "Some Impossibility Theorems in Econometrics with Applications to Structural and Dynamic Models," Econometrica, Econometric Society, vol. 65(6), pages 1365-1388, November.
    6. Jean-Thomas Bernard & Nadhem Idoudi & Lynda Khalaf & Clément Yélou, 2007. "Finite sample inference methods for dynamic energy demand models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1211-1226.
    7. Anders Alexandersson, 2004. "Graphing confidence ellipses: An update of ellip for Stata 8," Stata Journal, StataCorp LP, vol. 4(3), pages 242-256, September.
    8. Jenny N. Lye & Ian M. Mcdonald, 2006. "John Maynard Keynes Meets Milton Friedman And Edmond Phelps: The Range Versus The Natural Rate In Australia, 1965:4 To 2003:3," Australian Economic Papers, Wiley Blackwell, vol. 45(3), pages 227-240, September.
    9. Douglas Staiger & James H. Stock & Mark W. Watson, 1997. "The NAIRU, Unemployment and Monetary Policy," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 33-49, Winter.
    10. J.G. Hirschberg & J. N. Lye, 2007. "Providing Intuition to the Fieller Method with Two Geometric Representations using STATA and Eviews," Department of Economics - Working Papers Series 992, The University of Melbourne.
    11. Hirschberg, J.G. & Lye, J.N. & Slottje, D.J., 2008. "Inferential methods for elasticity estimates," Journal of Econometrics, Elsevier, vol. 147(2), pages 299-315, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hirschberg, Joe & Lye, Jenny, 2017. "Inverting the indirect—The ellipse and the boomerang: Visualizing the confidence intervals of the structural coefficient from two-stage least squares," Journal of Econometrics, Elsevier, vol. 199(2), pages 173-183.
    2. J. N. Lye and J. G. Hirschberg, 2012. "Inverse Test Confidence Intervals for Turning points: A," Department of Economics - Working Papers Series 1160, The University of Melbourne.
    3. Joe Hirschberg & Jenny Lye, 2017. "Alternative Graphical Representations of the Confidence Intervals for the Structural Coefficient from Exactly Identified Two-Stage Least Squares," Department of Economics - Working Papers Series 2026, The University of Melbourne.

    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. J.G. Hirschberg & J. N. Lye, 2007. "Providing Intuition to the Fieller Method with Two Geometric Representations using STATA and Eviews," Department of Economics - Working Papers Series 992, The University of Melbourne.
    2. Joe Hirschberg & Jenny Lye, 2017. "Alternative Graphical Representations of the Confidence Intervals for the Structural Coefficient from Exactly Identified Two-Stage Least Squares," Department of Economics - Working Papers Series 2026, The University of Melbourne.
    3. Carson, Richard T. & Czajkowski, Mikołaj, 2019. "A new baseline model for estimating willingness to pay from discrete choice models," Journal of Environmental Economics and Management, Elsevier, vol. 95(C), pages 57-61.
    4. J. G. Hirschberg, J. N. Lye & D. J. Slottje, 2008. "Confidence Intervals for Estimates of Elasticities," Department of Economics - Working Papers Series 1053, The University of Melbourne.
    5. Juan Urquiza & Christian J. Murray, 2017. "Do Estimated Taylor Rules Suffer from Weak Identification?," Documentos de Trabajo 494, Instituto de Economia. Pontificia Universidad Católica de Chile..
    6. Hirschberg, J.G. & Lye, J.N. & Slottje, D.J., 2008. "Inferential methods for elasticity estimates," Journal of Econometrics, Elsevier, vol. 147(2), pages 299-315, December.
    7. Jun Ma & Charles R. Nelson, 2008. "Valid Inference for a Class of Models Where Standard Inference Performs Poorly: Including Nonlinear Regression, ARMA, GARCH, and Unobserved Components," Working Papers UWEC-2008-06-R, University of Washington, Department of Economics, revised Sep 2008.
    8. Franz Wolfgang, 2001. "Neues von der NAIRU? / News from the NAIRU?," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 221(3), pages 256-284, June.
    9. Jean-Thomas Bernard & Ba Chu & Lynda Khalaf & Marcel Voia, 2019. "Non-Standard Confidence Sets for Ratios and Tipping Points with Applications to Dynamic Panel Data," Annals of Economics and Statistics, GENES, issue 134, pages 79-108.
    10. Glenn D. Rudebusch, 2002. "Assessing Nominal Income Rules for Monetary Policy with Model and Data Uncertainty," Economic Journal, Royal Economic Society, vol. 112(479), pages 402-432, April.
    11. Beissinger, Thomas, 2003. "Strukturelle Arbeitslosigkeit in Europa : eine Bestandsaufnahme (Structural unemployment in Europe * an inventory)," Mitteilungen aus der Arbeitsmarkt- und Berufsforschung, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany], vol. 36(4), pages 411-427.
    12. Alvaro Aguiar & Manuel Martins, 2005. "Testing the significance and the non-linearity of the Phillips trade-off in the Euro Area," Empirical Economics, Springer, vol. 30(3), pages 665-691, October.
    13. Tito Nícias Teixeira da Silva Filho, 2008. "Buscando la tasa natural de desempleo en una economía expuesta a grandes choques de precios relativos: el caso de Brasil," Investigación Conjunta-Joint Research, in: Centro de Estudios Monetarios Latinoamericanos (CEMLA) (ed.), Estimación y Uso de Variables no Observables en la Región, edition 1, volume 1, chapter 14, pages 426-464, Centro de Estudios Monetarios Latinoamericanos, CEMLA.
    14. Bardsen, Gunnar & Eitrheim, Oyvind & Jansen, Eilev S. & Nymoen, Ragnar, 2005. "The Econometrics of Macroeconomic Modelling," OUP Catalogue, Oxford University Press, number 9780199246502.
    15. Marika Karanassou & Hector Sala, 2010. "Labour Market Dynamics in Australia: What Drives Unemployment?," The Economic Record, The Economic Society of Australia, vol. 86(273), pages 185-209, June.
    16. Kajuth Florian, 2016. "NAIRU Estimates for Germany: New Evidence on the Inflation–Unemployment Tradeoff," German Economic Review, De Gruyter, vol. 17(1), pages 104-125, February.
    17. Hirschberg, Joe & Lye, Jenny, 2017. "Inverting the indirect—The ellipse and the boomerang: Visualizing the confidence intervals of the structural coefficient from two-stage least squares," Journal of Econometrics, Elsevier, vol. 199(2), pages 173-183.
    18. Richard A. Ashley & Randall J. Verbrugge., 2006. "Mis-Specification in Phillips Curve Regressions: Quantifying Frequency Dependence in This Relationship While Allowing for Feedback," Working Papers e06-11, Virginia Polytechnic Institute and State University, Department of Economics.
    19. David Shepherd & Ciaran Driver, 2003. "Inflation and Capacity Constraints in Australian Manufacturing Industry," The Economic Record, The Economic Society of Australia, vol. 79(245), pages 182-195, June.
    20. Jean-Marie Dufour & Emmanuel Flachaire & Lynda Khalaf & Abdallah Zalghout, 2020. "Identification-Robust Inequality Analysis," Cahiers de recherche 03-2020, Centre interuniversitaire de recherche en économie quantitative, CIREQ.

    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:eee:ecolet:v:108:y:2010:i:1:p:73-76. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.