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S N Ethier

Publications and source records attributed to S N Ethier.

4 recordsLinked to original sources

Statistical analysis of in situ hybridization data: derivation and use of the zmax test.

There are many situations in which grain distributions resulting from in situ hybridization of radioactively labeled probes to unique genes should be subjected to a statistical analysis. However, the problems posed by analysis of in situ hybridization data are not straightforward, and no completely satisfying method is currently available. We have developed a procedure in which the major and any number of minor site(s) of hybridization may be specifically located and the significance of each tested. This zmax procedure first tests the overall distribution for departure from randomness and then identifies significantly overlabeled whole chromosomes (or chromosome arms or other large segments), a process that may be repeated to pinpoint significantly overlabeled regions within these chromosomes. We describe in detail the derivation of the zmax statistic, present tables of significant zmax levels, and show with examples how zmax is used in tests of significance of in situ hybridization data.

Animals↗

Diffusion approximations of the two-locus Wright-Fisher model.

Diffusion approximations are established for the multiallelic, two-locus Wright-Fisher model for mutation, selection, and random genetic drift in a finite, panmictic, monoecious, diploid population. All four combinations of weak or strong selection and tight or loose linkage are treated, though the proof in the case of strong selection and loose linkage is incomplete. Under certain conditions, explicit formulas are obtained for the stationary distributions of the two diffusions with loose linkage.

Genetic Linkage↗

Identity-by-descent analysis of sibship configurations.

This study considers configurations of identity-by-descent sharing in sibships as an alternative to breaking the sibship into sib pairs. A general method is presented for specifying all distinct configurations and deriving their probabilities. The method works for sibships of arbitrary size and can be implemented with paper and pencil. Specific results are given for sibships up to size six. Applications for disease-marker studies are discussed.

Genetic Diseases, Inborn↗

Error estimate for the diffusion approximation of the Wright--Fisher model.

The Wright--Fisher model and its approximating diffusion model are compared in terms of the expected value of a smooth but arbitrary function of nth-generation gene frequency. In the absence of selection, this expectation is shown to differ in the two models by at most a linear combination (with coefficients depending only on the derivatives of the smooth function involved) of the maximum mutation rate and the reciprocal of the population size.

Genetics↗