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Providing Intuition to the Fieller Method with Two Geometric Representations using STATA and Eviews

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Abstract

The Fieller Method for the construction of confidence intervals for ratios of the expected value of two normally distributed random variables has been shown by a number of authors to be a superior method to the delta approximation. However, it is not widely used due in part, to the tendency to present the intervals only in a formula context. In addition, potential users have been deterred by the potential difficulty in interpreting non-finite confidence intervals when the confidence level is less than 100%. In this paper we present two graphical methods which can be easily constructed using two widely used statistical software packages (Eviews and Stata) for the representation of the Fieller intervals. An application is presented to assess the results of a model of the non-accelerating inflation rate of unemployment (NAIRU).

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  • 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.
    • Handle: RePEc:mlb:wpaper:992
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    2. 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.
    3. J. Hirschberg & J. Lye & D.J. Slottje, 2005. "Alernative Forms for Restricted Regressions," Department of Economics - Working Papers Series 954, The University of Melbourne.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Anders Alexandersson, 2004. "Graphing confidence ellipses: An update of ellip for Stata 8," Stata Journal, StataCorp LP, vol. 4(3), pages 242-256, September.
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    Cited by:

    1. J. Hirschberg & J. Lye, 2010. "A reinterpretation of interactions in regressions," Applied Economics Letters, Taylor & Francis Journals, vol. 17(5), pages 427-430.
    2. 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.
    3. 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.
    4. Michael Sherman & Arnab Maity & Suojin Wang, 2011. "Inferences for the ratio: Fieller’s interval, log ratio, and large sample based confidence intervals," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(3), pages 313-323, September.
    5. 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.

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    More about this item

    Keywords

    Fieller method; ratios of parameters; confidence interval; confidence ellipsoid; 1st derivative function; NAIRU; EViews; STATA;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity

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