Bias Correction for Segregation Ratio Estimation in Human Genetics

Authors: Yao, Yi-Ching1; Tai, John Jen2

Source: Biometrics, Volume 56, Number 3, September 2000 , pp. 795-800(6)

Publisher: Blackwell Publishing

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Abstract:

Summary.

Segregation ratio estimation has long been important in human genetics. A simple truncated binomial model is considered that assumes complete ascertainment and a deterministic genotype-phenotype relationship. A simple but intuitively appealing estimator of the segregation ratio, previously proposed, is shown to have a negative bias. It is also shown that the bias of this estimator can be largely reduced via a randomization device, resulting in a new estimator that has the same large-sample behavior but with a negligible bias (decaying at a geometric rate). Numerical results are given to show the small-sample performance of this new estimator. An extension to incomplete ascertainment is also considered.

Keywords: Ascertainment bias; Randomization; Truncated binomial

Document Type: Research article

DOI: 10.1111/j.0006-341X.2000.00795.x

Affiliations: 1: Institute of Statistical Science, Academia Sinica, Taipei, Taiwan, R.O.C., Email: yao@stat.sinica.edu.tw 2: Division of Biostatistics, Institute of Epidemiology, National Taiwan University, Taipei, Taiwan, R.O.C.

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