Sankhya: The Indian Journal of Statistics
1995, Volume 57, Series B, Pt. 1, pp. 151--157
EVALUATION OF A PROPOSED MODIFICATION TO THE PAIRWISE ESTIMATOR OF A PARENT-OFFSPRING
MICHAEL ELIASZIW and ALLAN DONNER, University of Western Ontario
SUMMARY. The properties of two estimators of a parent-offspring correlation coefficient $\ro_ms are compared. It is shown that the modification to the pairwise estimator proposed by Srivastava and Keen (1988) leads to a loss of accuracy. Specifically, the asymptotic variance of the corrected pairwise estimator is uniformly larger than the asymptotic variance of the pairwise estimator is uniformly larger than the asymptotic variance of the pairwise estimator provided $\ro_ms \gt 0$. The loss in accuracy increases with increasing imbalance in the sibship size distribution.
AMS (1991) subject classification. 62J99.
Key words and phrases. Familial resemblance, family data, interclass correlation.
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