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On Lange and Ryan's plotting technique for diagnosing non-normality of random effects

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  • Eberly, Lynn E.
  • Thackeray, Lisa M.

Abstract

For linear mixed models, Lange and Ryan's plot [Lange, N., Ryan, L., 1989. Assessing normality in random effects models. Ann. Statist. 17, 624-642] was derived for diagnosing random effect distributions. We show it is sensitive to both non-normality of random effects and mis-specified mean models, and thus may be more useful as a general diagnostic.

Suggested Citation

  • Eberly, Lynn E. & Thackeray, Lisa M., 2005. "On Lange and Ryan's plotting technique for diagnosing non-normality of random effects," Statistics & Probability Letters, Elsevier, vol. 75(2), pages 77-85, November.
    • Handle: RePEc:eee:stapro:v:75:y:2005:i:2:p:77-85
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    References listed on IDEAS

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    1. Nicholas T. Longford, 2001. "Simulation‐based diagnostics in random‐coefficient models," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 164(2), pages 259-273.
    2. J. S. Hodges, 1998. "Some algebra and geometry for hierarchical models, applied to diagnostics," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 60(3), pages 497-536.
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    2. B. N. Sánchez & E. A. Houseman & L. M. Ryan, 2009. "Residual-Based Diagnostics for Structural Equation Models," Biometrics, The International Biometric Society, vol. 65(1), pages 104-115, March.
    3. Leonardo Grilli & Carla Rampichini, 2015. "Specification of random effects in multilevel models: a review," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(3), pages 967-976, May.

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