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Asymptotic properties of estimators of interclass correlation from familial data

  • Sadanori Konishi
Article

Summary

Asymptotic properties of several estimators of interclass correlation from familial data are examined in the case of a variable number of siblings per family. After showing that the usual sib-mean estimator is not consistent, a modified sib-mean estimator is proposed. Asymptotic distributions of estimators are derived and a test procedure is provided for a certain testing problem concerning interclass correlation. Several estimators are compared in the various mean number of siblings per family, using asymptotic mean square errors.

Key words and phrases

Interclass correlation familial data consistent estimator asymptotic distribution 

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References

  1. [1]
    Elston, R. C. (1975). On the correlation between correlations,Biometrika,62, 133–140.MathSciNetCrossRefGoogle Scholar
  2. [2]
    Fisher, R. A. (1921). On the “probable error” of a coefficient of correlation deduced from a small sample,Metron,1, 1–32.Google Scholar
  3. [3]
    Konishi, S. (1978). An approximation to the distribution of the sample correlation coefficient,Biometrika,65, 654–656.MathSciNetCrossRefGoogle Scholar
  4. [4]
    Konishi, S. (1981). Normalizing transformations of some statistics in multivariate analysis,Biometrika,68, 647–651.MathSciNetCrossRefGoogle Scholar
  5. [5]
    Mak, T. K. and Ng, K. W. (1981). Analysis of familial data: Linear-model approach.Biometrika,68, 457–461.MathSciNetCrossRefGoogle Scholar
  6. [6]
    Rosner, B. (1979). Maximum likelihood estimation of interclass correlations,Biometrika,66, 533–538.CrossRefGoogle Scholar
  7. [7]
    Rosner, B. and Donner, A. (1979). Significance testing of interclass correlations from familial data,Biometrics,35, 461–471.MathSciNetCrossRefGoogle Scholar
  8. [8]
    Rosner, B., Donner, A. and Hennekens, C.H. (1977). Estimation of interclass correlation from familial data,Appl. Statist.,26, 179–187.CrossRefGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics, Tokyo 1982

Authors and Affiliations

  • Sadanori Konishi

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