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Group-mean-centering independent variables in multi-level models is dangerous

Author

Listed:
  • Jonathan Kelley

    (University of Nevada)

  • M. D. R. Evans

    (University of Nevada)

  • Jennifer Lowman

    (University of Nevada)

  • Valerie Lykes

    (University of Nevada)

Abstract

Group-mean centering of independent variables in multi-level models is widely practiced and widely recommended. For example, in cross-national studies of educational performance, family background is scored as a deviation from the country mean for student’s family background. We argue that this is usually a serious mis-specification, introducing bias and random measurement error with all their attendant vices. We examine five diverse examples of “real world” analyses using large, high quality datasets on topics of broad interest in the social sciences. In all of them, consistent with much (but not all) of the technical literature, group-mean centering substantially distorts results. Moreover the distortions are large, substantively important differences pointing towards seriously incorrect interpretations of important social processes. We therefore recommend that group-mean centering be abandoned.

Suggested Citation

  • Jonathan Kelley & M. D. R. Evans & Jennifer Lowman & Valerie Lykes, 2017. "Group-mean-centering independent variables in multi-level models is dangerous," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(1), pages 261-283, January.
    • Handle: RePEc:spr:qualqt:v:51:y:2017:i:1:d:10.1007_s11135-015-0304-z
    DOI: 10.1007/s11135-015-0304-z
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    References listed on IDEAS

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    1. M. Evans & Jonathan Kelley, 2004. "Effect of family structure on life satisfaction: australian evidence," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 69(3), pages 303-349, December.
    2. Krzysztof Zagorski & Mariah Evans & Jonathan Kelley & Katarzyna Piotrowska, 2014. "Erratum to: Does National Income Inequality Affect Individuals’ Quality of Life in Europe? Inequality, Happiness, Finances, and Health," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 118(2), pages 939-939, September.
    3. Omar Paccagnella, 2006. "Centering or Not Centering in Multilevel Models? The Role of the Group Mean and the Assessment of Group Effects," Evaluation Review, , vol. 30(1), pages 66-85, February.
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    Cited by:

    1. Ming-Chang Tsai, 2019. "The Good, the Bad, and the Ordinary: The Day-of-the-Week Effect on Mood Across the Globe," Journal of Happiness Studies, Springer, vol. 20(7), pages 2101-2124, October.
    2. Andrew Bell & Kelvyn Jones & Malcolm Fairbrother, 2018. "Understanding and misunderstanding group mean centering: a commentary on Kelley et al.’s dangerous practice," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(5), pages 2031-2036, September.
    3. M. D. R. Evans & Jonathan Kelley & S. M. C. Kelley & C. G. E. Kelley, 2019. "Rising Income Inequality During the Great Recession Had No Impact on Subjective Wellbeing in Europe, 2003–2012," Journal of Happiness Studies, Springer, vol. 20(1), pages 203-228, January.

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