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.
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Konishi, S. Asymptotic properties of estimators of interclass correlation from familial data. Ann Inst Stat Math 34, 505–515 (1982). https://doi.org/10.1007/BF02481048
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DOI: https://doi.org/10.1007/BF02481048