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Estimation of Interclass Correlation from Familial Data

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  • B. Rosner
  • A. Donner
  • C. H. Hennekens

Abstract

In the analysis of familial data in order to quantify the degree of parent–child resemblance several different estimators of interclass correlation, the pairwise, sib‐mean and random‐sib methods, have been used. We compare these methods and propose a new estimator, the ensemble estimator. For the case where there are a fixed number of siblings per family, the pairwise estimator is shown to be equivalent to the maximum likelihood estimator. When there are a variable number of siblings per family, the pairwise and ensemble estimators are shown by Monte Carlo simulation to be preferable due to their smaller mean square errors. When the sib‐sib correlation is low, the pairwise estimator is more effective whereas at high values the ensemble estimator is more effective.

Suggested Citation

  • B. Rosner & A. Donner & C. H. Hennekens, 1977. "Estimation of Interclass Correlation from Familial Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(2), pages 179-187, June.
  • Handle: RePEc:bla:jorssc:v:26:y:1977:i:2:p:179-187
    DOI: 10.2307/2347026
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    Cited by:

    1. Mathew George & Song Yeunjoo & Elston Robert, 2011. "Interval Estimation of Familial Correlations from Pedigrees," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 10(1), pages 1-29, February.
    2. Naik, Dayanand N. & Helu, Amal, 2007. "On testing equality of intraclass correlations under unequal family sizes," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6498-6510, August.
    3. Helu, Amal & Naik, Dayanand N., 2006. "Estimation of interclass correlation via a Kotz-type distribution," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1523-1534, December.
    4. Wen-Tao Huang & Bimal Sinha, 1993. "On optimum invariant tests of equality of intraclass correlation coefficients," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(3), pages 579-597, September.

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