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Approaches for the Joint Evaluation of Hypothesis Tests: Classical Testing, Bayes Testing, and Joint Confirmation

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Author Info
Kunst, Robert M. (Department of Economics and Finance, Institute for Advanced Studies, Vienna, Austria and Department of Economics, University of Vienna)

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Abstract

The occurrence of decision problems with changing roles of null and alternative hypotheses has increased interest in extending the classical hypothesis testing setup. Particularly, confirmation analysis has been in the focus of some recent contributions in econometrics. We emphasize that confirmation analysis is grounded in classical testing and should be contrasted with the Bayesian approach. Differences across the three approaches – traditional classical testing, Bayes testing, joint confirmation – are highlighted for a popular testing problem. A decision is searched for the existence of a unit root in a time-series process on the basis of two tests. One of them has the existence of a unit root as its null hypothesis and its non-existence as its alternative, while the roles of null and alternative are reversed for the other hypothesis test.

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File URL: http://www.ihs.ac.at/publications/eco/es-177.pdf
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File Function: First version, 2005
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Publisher Info
Paper provided by Institute for Advanced Studies in its series Economics Series with number 177.

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Length: 25 pages
Date of creation: Sep 2005
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Handle: RePEc:ihs:ihsesp:177

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Related research
Keywords: Confirmation analysis; Decision contours; Unit roots;

Other versions of this item:

Find related papers by JEL classification:
C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Bayesian Analysis
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Statistical Decision Theory; Operations Research

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References listed on IDEAS
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  1. Kunst, Robert M., 2002. "Decision Maps for Bivariate Time Series with Potential Thrshold Cointegration," Economics Series 121, Institute for Advanced Studies. [Downloadable!]
  2. Steve Leybourne & Paul Newbold & Tae-Hwan Kim, 2003. "Examination Of Some More Powerful Modifications Of The Dickey- Fuller Test," Econometrics 0311007, EconWPA. [Downloadable!]
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  3. Leybourne, S J, 1995. "Testing for Unit Roots Using Forward and Reverse Dickey-Fuller Regressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 57(4), pages 559-71, November.
  4. Charemza, Wojciech W. & Syczewska, Ewa M., 1998. "Joint application of the Dickey-Fuller and KPSS tests," Economics Letters, Elsevier, vol. 61(1), pages 17-21, October. [Downloadable!] (restricted)
  5. Kunst, Robert M. & Reutter, Michael, 2000. "Decisions on Seasonal Unit Roots," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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