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Biometrika 1990 77(3):557-562; doi:10.1093/biomet/77.3.557
© 1990 by Biometrika Trust
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Estimation of parent-offspring correlation

RAJA VELU and M. BHASKARA ROA

College of Business and Economics, University of Wisconsin Whitewater, Wisconsin 53190, U.S.A.
Department of Statistics, North Dokota State University Fargo, North Dakota 58105, U.S.A.

When families have different numbers of offspring, Srivastava (1984) provided an easily computable estimator as an alternative to the maximum likelihood estimator of parent-offspring correlation. Some properties of this estimator are discussed vis-à-vis with those of ensemble and pairwise estimators. Further, we derive the small sample distribution of Srivastava's estimator under the assumption of null parent-offspring correlation. In the process, we demonstrate that a certain function of the classical sib-mean estimator has Student's t distribution despite differing sib-ship sizes.

Key Words: Ensemble estimator • Familial data • Pairwise estimator • Parent-offspring correlation • Sib-mean estimator • Small sample distribution • Srivastava's estimator


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