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Functional response models for intraclass correlation coefficients

Author

Listed:
  • N. Lu
  • T. Chen
  • P. Wu
  • D. Gunzler
  • H. Zhang
  • H. He
  • X.M. Tu

Abstract

Intraclass correlation coefficients (ICC) are employed in a wide range of behavioral, biomedical, psychosocial, and health care related research for assessing reliability of continuous outcomes. The linear mixed-effects model (LMM) is the most popular approach for inference about the ICC. However, since LMM is a normal distribution-based model and non-normal data are the norm rather than the exception in most studies, its applications to real study data always beg the question of inference validity. In this paper, we propose a distribution-free alternative to provide robust inference based on the functional response models. We illustrate the performance of the new approach using both real and simulated data.

Suggested Citation

  • N. Lu & T. Chen & P. Wu & D. Gunzler & H. Zhang & H. He & X.M. Tu, 2014. "Functional response models for intraclass correlation coefficients," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(11), pages 2539-2556, November.
  • Handle: RePEc:taf:japsta:v:41:y:2014:i:11:p:2539-2556
    DOI: 10.1080/02664763.2014.920780
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    References listed on IDEAS

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    1. J. Richard Landis & Gary G. Koch, 1975. "A review of statistical methods in the analysis of data arising from observer reliability studies (Part II)," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 29(4), pages 151-161, December.
    2. J. Richard Landis & Gary G. Koch, 1975. "A review of statistical methods in the analysis of data arising from observer reliability studies (Part I)," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 29(3), pages 101-123, September.
    3. Emily Kistner & Keith Muller, 2004. "Exact distributions of intraclass correlation and Cronbach's alpha with Gaussian data and general covariance," Psychometrika, Springer;The Psychometric Society, vol. 69(3), pages 459-474, September.
    4. Beth Reboussin & Kung-Yee Liang, 1998. "An estimating equations approach for the LISCOMP model," Psychometrika, Springer;The Psychometric Society, vol. 63(2), pages 165-182, June.
    5. Jeanne Kowalski, 2004. "Nonparametric inference for stochastic linear hypotheses: Application to high-dimensional data," Biometrika, Biometrika Trust, vol. 91(2), pages 393-408, June.
    6. H. Zhang & Q. Yu & C. Feng & D. Gunzler & P. Wu & X. M. Tu, 2012. "A new look at the difference between the GEE and the GLMM when modeling longitudinal count responses," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(9), pages 2067-2079, June.
    7. Huiman X. Barnhart & John M. Williamson, 2001. "Modeling Concordance Correlation via GEE to Evaluate Reproducibility," Biometrics, The International Biometric Society, vol. 57(3), pages 931-940, September.
    8. Helena Kraemer, 1981. "Extension of Feldt's approach to testing homogeneity of coefficients of reliability," Psychometrika, Springer;The Psychometric Society, vol. 46(1), pages 41-45, March.
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