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The Empirical Trap of Sign Reversals with Equality Restrictions

Author

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  • Stephen E. Haynes

    () (Department of Economics, University of Oregon)

Abstract

This note explores the insidious empirical trap posed by two common equality restrictions in regression analysis. The trap is that restricted coefficients can lie outside the interval of unrestricted coefficients and even reverse sign when negatively correlated regressors are added to one another or when positively correlated regressors are subtracted from one another.

Suggested Citation

  • Stephen E. Haynes, 2005. "The Empirical Trap of Sign Reversals with Equality Restrictions," University of Oregon Economics Department Working Papers 2005-8, University of Oregon Economics Department.
  • Handle: RePEc:ore:uoecwp:2005-8
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    File URL: http://economics.uoregon.edu/papers/UO-2005-8_Haynes_Reversals.pdf
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    References listed on IDEAS

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    1. Fleurbaey, Marc & Hagnere, Cyrille & Trannoy, Alain, 2003. "Welfare comparisons with bounded equivalence scales," Journal of Economic Theory, Elsevier, vol. 110(2), pages 309-336, June.
    2. Atkinson, A B, 1992. "Measuring Poverty and Differences in Family Composition," Economica, London School of Economics and Political Science, vol. 59(233), pages 1-16, February.
    3. Lambert, Peter J & Ramos, Xavier, 2002. "Welfare Comparisons: Sequential Procedures for Heterogeneous Populations," Economica, London School of Economics and Political Science, vol. 69(276), pages 549-562, November.
    4. Patrick Moyes, 1999. "Comparaisons de distributions hétérogènes et critères de dominance," Économie et Prévision, Programme National Persée, vol. 138(2), pages 125-146.
    5. Ebert, Udo, 1997. "Social Welfare When Needs Differ: An Axiomatic Approach," Economica, London School of Economics and Political Science, vol. 64(254), pages 233-244, May.
    6. Udo Ebert & Patrick Moyes, 2003. "Equivalence Scales Reconsidered," Econometrica, Econometric Society, pages 319-343.
    7. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
    8. Anthony Shorrocks, 2004. "Inequality and welfare evaluation of heterogeneous income distributions," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(3), pages 193-218, July.
    9. Jenkins, Stephen P & Lambert, Peter J, 1993. "Ranking Income Distributions When Needs Differ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(4), pages 337-356, December.
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    12. Udo Ebert, 1999. "Using equivalent income of equivalent adults to rank income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 233-258.
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    More about this item

    Keywords

    Equality restrictions; Sign reversals; Invalid restrictions;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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