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

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Author Info
J.G. Hirschberg
J. N. Lye

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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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File URL: http://www.economics.unimelb.edu.au/SITE/research/workingpapers/wp07/992.pdf
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Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 992.

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Length: 22 pages
Date of creation: 2007
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Handle: RePEc:mlb:wpaper:992

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Related research
Keywords: Fieller method; ratios of parameters; confidence interval; confidence ellipsoid; 1st derivative function; NAIRU; EViews; STATA;

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
E24 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution

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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.:
  1. J. Hirschberg & J. Lye & D.J. Slottje, 2005. "Alernative Forms for Restricted Regressions," Department of Economics - Working Papers Series 954, The University of Melbourne. [Downloadable!]
  2. Anders Alexandersson, 2004. "Graphing confidence ellipses: An update of ellip for Stata 8," Stata Journal, StataCorp LP, vol. 4(3), pages 242-256, September. [Downloadable!]
  3. 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.
  4. David Gruen & Adrian Pagan & Christopher Thompson, 1999. "The Phillips Curve in Australia," RBA Research Discussion Papers rdp1999-01, Reserve Bank of Australia. [Downloadable!]
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  5. 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. [Downloadable!]
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Cited by:
(explanations, 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.)

  1. 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. [Downloadable!]
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