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The Choice Between Sets Of Regressors


  • J. Denis Sargan


This paper examines the choice of critical values for testing both non-sequential and nested sequential sets of constraints in the standard linear regression model. Modest increases in (e.g.) t-ratio critical values relative to their one-off values are often sufficient to maintain proper size. A Bayesian decision-theoretic approach, highlighted by the Schwarz (1978) criterion, provides a framework for deriving consistency and asymptotic local power properties of both forms of testing (data mining) algorithms.

Suggested Citation

  • J. Denis Sargan, 2001. "The Choice Between Sets Of Regressors," Econometric Reviews, Taylor & Francis Journals, vol. 20(2), pages 171-186.
  • Handle: RePEc:taf:emetrv:v:20:y:2001:i:2:p:171-186 DOI: 10.1081/ETC-100103821

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    References listed on IDEAS

    1. Savin, N.E., 1984. "Multiple hypothesis testing," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 14, pages 827-879 Elsevier.
    2. N. E. Savin, 1980. "The Bonferroni and the Scheffé Multiple Comparison Procedures," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 255-273.
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    Cited by:

    1. Phillips, Peter C.B., 2003. "Vision And Influence In Econometrics: John Denis Sargan," Econometric Theory, Cambridge University Press, vol. 19(03), pages 495-511, June.
    2. Julia Campos & Neil R. Ericsson, 1999. "Contructive data mining: modeling consumers' expenditure in Venezuela," Econometrics Journal, Royal Economic Society, vol. 2(2), pages 226-240.
    3. David F. Hendry & Peter C.B. Phillips, 2017. "John Denis Sargan at the London School of Economics," Cowles Foundation Discussion Papers 2082, Cowles Foundation for Research in Economics, Yale University.

    More about this item


    Bayes; Bonferroni; Critical values; Data mining; Multiple testing; Scheffe; Schwarz criterion; Specification searches; JEL Classifixcation: C44; C51;

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation


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