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Trials of the beta model for complex inheritance

Trials of the beta model for complex inheritance
Trials of the beta model for complex inheritance
Theoretical advantages of nonparametric logarithm of odds to map polygenic diseases are supported by tests of the beta model that depends on a single logistic parameter and is the only model under which paternal and maternal transmissions to sibs of specified phenotypes are independent. Although it does not precisely describe recurrence risks in monozygous twins, the beta model has greater power to detect family resemblance or linkage than the more general delta model which describes the probability of 0, 1, or 2 alleles identical by descent (ibd) with two parameters. Available data on ibd in sibs are consistent with the beta model, but not with the equally parsimonious but less powerful gamma model that assumes a fixed probability of 1/2 for 1 allele ibd. Additivity of loci on the liability scale is not disproven. A simple equivalence extends the beta model to multipoint analysis.
0027-8424
9177-9181
Collins, Andrew
7daa83eb-0b21-43b2-af1a-e38fb36e2a64
MacLean, C. J.
083d6129-f9b8-4831-9dda-818977353ba0
Morton, Newton Ennis
c668e2be-074a-4a0a-a2ca-e8f51830ebb7
Collins, Andrew
7daa83eb-0b21-43b2-af1a-e38fb36e2a64
MacLean, C. J.
083d6129-f9b8-4831-9dda-818977353ba0
Morton, Newton Ennis
c668e2be-074a-4a0a-a2ca-e8f51830ebb7

Collins, Andrew, MacLean, C. J. and Morton, Newton Ennis (1996) Trials of the beta model for complex inheritance. Proceedings of the National Academy of Sciences of the United States of America, 93 (17), 9177-9181. (doi:10.1073/pnas.93.17.9177).

Record type: Article

Abstract

Theoretical advantages of nonparametric logarithm of odds to map polygenic diseases are supported by tests of the beta model that depends on a single logistic parameter and is the only model under which paternal and maternal transmissions to sibs of specified phenotypes are independent. Although it does not precisely describe recurrence risks in monozygous twins, the beta model has greater power to detect family resemblance or linkage than the more general delta model which describes the probability of 0, 1, or 2 alleles identical by descent (ibd) with two parameters. Available data on ibd in sibs are consistent with the beta model, but not with the equally parsimonious but less powerful gamma model that assumes a fixed probability of 1/2 for 1 allele ibd. Additivity of loci on the liability scale is not disproven. A simple equivalence extends the beta model to multipoint analysis.

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Published date: 20 August 1996

Identifiers

Local EPrints ID: 470502
URI: http://eprints.soton.ac.uk/id/eprint/470502
ISSN: 0027-8424
PURE UUID: 08617c90-8218-472e-95cc-11aae8cebd76
ORCID for Andrew Collins: ORCID iD orcid.org/0000-0001-7108-0771

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Date deposited: 11 Oct 2022 17:02
Last modified: 17 Mar 2024 02:37

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Contributors

Author: Andrew Collins ORCID iD
Author: C. J. MacLean
Author: Newton Ennis Morton

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