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The Estimation of the Segregation Parameter when Ascertainment is not Complete

✍ Scribed by M. Shoukri; R. Ward

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
525 KB
Volume
27
Category
Article
ISSN
0323-3847

No coin nor oath required. For personal study only.

✦ Synopsis

Dedicated t o Professor C. C. LI, in recognition of his seminal contribution to the field of human Statistical genetics

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Procedures t o estimate the genetic segregation parameter when ascertainment of families is incomplcte, hnve previously relied on iterative computer algorithms since estimators with closed form :ire lacking. We now present the Minimum Variance Unbiased Estimator for the segregation parameter under any ascertainment probability. This estimator assumes a simple form when ascertainment is complete. We also present a simple estimator, akin t o Li and Mantel's (1968) estimator, but without the restriction that ascertainment be complete. The performance of these estimators is compared with respect t o asymptotic efficiency. We also provide tables that define the required number of families of a given size that need t o be sampled t o achieve a specific power for testing simple hypothesis on the segregation parameter.

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