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S-values: Conventional context-minimal measures of the sturdiness of regression coefficients

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  • Leamer, Edward E.

Abstract

This paper proposes a context-minimal range of alternative regression models that is used to generate a range of alternative estimates. A prior distribution is assumed with a zero mean but an ambiguous covariance matrix. The choice of the prior covariance matrix is facilitated by transformation to standardized variables which makes the prior expected R2 equal to the sum of the prior variances. Three different ranges of the prior expected R2 are used to define three different intervals of prior covariance matrices which are used to produce three different sets of s-values.

Suggested Citation

  • Leamer, Edward E., 2016. "S-values: Conventional context-minimal measures of the sturdiness of regression coefficients," Journal of Econometrics, Elsevier, vol. 193(1), pages 147-161.
    • Handle: RePEc:eee:econom:v:193:y:2016:i:1:p:147-161
    DOI: 10.1016/j.jeconom.2015.10.013
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    References listed on IDEAS

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    1. Carmen Fernandez & Eduardo Ley & Mark F. J. Steel, 2001. "Model uncertainty in cross-country growth regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(5), pages 563-576.
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    4. Levine, Ross & Renelt, David, 1992. "A Sensitivity Analysis of Cross-Country Growth Regressions," American Economic Review, American Economic Association, vol. 82(4), pages 942-963, September.
    5. Xavier Sala-I-Martin & Gernot Doppelhofer & Ronald I. Miller, 2004. "Determinants of Long-Term Growth: A Bayesian Averaging of Classical Estimates (BACE) Approach," American Economic Review, American Economic Association, vol. 94(4), pages 813-835, September.
    6. Leamer, Edward E, 1982. "Sets of Posterior Means with Bounded Variance Priors," Econometrica, Econometric Society, vol. 50(3), pages 725-736, May.
    7. Press, S. James & Zellner, Arnold, 1978. "Posterior distribution for the multiple correlation coefficient with fixed regressors," Journal of Econometrics, Elsevier, vol. 8(3), pages 307-321, December.
    8. Leamer, Edward E., 1975. "A result on the sign of restricted least-squares estimates," Journal of Econometrics, Elsevier, vol. 3(4), pages 387-390, November.
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    Cited by:

    1. John B. Guerard & Ganlin Xu & Harry Markowitz, 2021. "A further analysis of robust regression modeling and data mining corrections testing in global stocks," Annals of Operations Research, Springer, vol. 303(1), pages 175-195, August.
    2. Mark F. J. Steel, 2020. "Model Averaging and Its Use in Economics," Journal of Economic Literature, American Economic Association, vol. 58(3), pages 644-719, September.

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    More about this item

    Keywords

    Model ambiguity; Regression; s-values;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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