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

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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.

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  • 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
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    1. Gruen, David & Pagan, Adrian & Thompson, Christopher, 1999. "The Phillips curve in Australia," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 223-258, October.
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    5. 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.
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    8. 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.
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    11. 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.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.

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