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The Choice Between Sets Of Regressors

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  • J. Denis Sargan

Abstract

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

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    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," The Review of Economic Studies, Review of Economic Studies Ltd, 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(3), 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.

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    More about this item

    Keywords

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

    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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