A simple generalisation of Kinghorn's genotypic probability index

Bruce Tier

A simple generalisation of Kinghorn's genotypic probability index

Bruce Tier

Animal Genetics and Breeding Unit

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Using trigonometry, Kinghorn (1997) developed the genotype probability index as a measure of the amount of information contained in genotype probabilities predicted by segregation analysis for loci with only three genotypes. Percy (2005) represented the problem algebraically and generalised it for loci with any number of genotypes. This paper describes a general and simpler method for calculating the genotype probability index for loci with multiple ordered or unordered genotypes which requires nothing more than solving a single quadratic equation.

Original language	English
Title of host publication	Proceedings of the Association for the Advancement of Animal Breeding and Genetics
Editors	AAABG: Association for the Advancement of Animal Breeding, Genetics
Place of Publication	Collingwood, Australia
Pages	362-365
Volume	16
Publication status	Published - 2005
Event	AAABG 2005: 16th Conference of the Association for the Advancement of Animal Breeding and Genetics - Noosa Lakes, Australia Duration: 25 Sept 2005 → 28 Sept 2005

Conference

Conference	AAABG 2005: 16th Conference of the Association for the Advancement of Animal Breeding and Genetics
City	Noosa Lakes, Australia
Period	25/09/05 → 28/09/05

Keywords

Animal Breeding

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https://hdl.handle.net/1959.11/4549

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@inproceedings{b28e38abfe62490d8305cff0f71eef59,

title = "A simple generalisation of Kinghorn's genotypic probability index",

abstract = "Using trigonometry, Kinghorn (1997) developed the genotype probability index as a measure of the amount of information contained in genotype probabilities predicted by segregation analysis for loci with only three genotypes. Percy (2005) represented the problem algebraically and generalised it for loci with any number of genotypes. This paper describes a general and simpler method for calculating the genotype probability index for loci with multiple ordered or unordered genotypes which requires nothing more than solving a single quadratic equation.",

keywords = "Animal Breeding",

author = "Bruce Tier",

year = "2005",

language = "English",

isbn = "064309234X",

volume = "16",

pages = "362--365",

editor = "\{Association for the Advancement of Animal Breeding\}, AAABG: and Genetics",

booktitle = "Proceedings of the Association for the Advancement of Animal Breeding and Genetics",

note = "AAABG 2005: 16th Conference of the Association for the Advancement of Animal Breeding and Genetics ; Conference date: 25-09-2005 Through 28-09-2005",

}

Tier, B 2005, A simple generalisation of Kinghorn's genotypic probability index. in AAABG Association for the Advancement of Animal Breeding & Genetics (eds), Proceedings of the Association for the Advancement of Animal Breeding and Genetics. vol. 16, Collingwood, Australia, pp. 362-365, AAABG 2005: 16th Conference of the Association for the Advancement of Animal Breeding and Genetics, Noosa Lakes, Australia, 25/09/05. <https://hdl.handle.net/1959.11/4549>

A simple generalisation of Kinghorn's genotypic probability index. / Tier, Bruce.
Proceedings of the Association for the Advancement of Animal Breeding and Genetics. ed. / AAABG: Association for the Advancement of Animal Breeding; Genetics. Vol. 16 Collingwood, Australia, 2005. p. 362-365.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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PY - 2005

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N2 - Using trigonometry, Kinghorn (1997) developed the genotype probability index as a measure of the amount of information contained in genotype probabilities predicted by segregation analysis for loci with only three genotypes. Percy (2005) represented the problem algebraically and generalised it for loci with any number of genotypes. This paper describes a general and simpler method for calculating the genotype probability index for loci with multiple ordered or unordered genotypes which requires nothing more than solving a single quadratic equation.

AB - Using trigonometry, Kinghorn (1997) developed the genotype probability index as a measure of the amount of information contained in genotype probabilities predicted by segregation analysis for loci with only three genotypes. Percy (2005) represented the problem algebraically and generalised it for loci with any number of genotypes. This paper describes a general and simpler method for calculating the genotype probability index for loci with multiple ordered or unordered genotypes which requires nothing more than solving a single quadratic equation.

KW - Animal Breeding

UR - http://trove.nla.gov.au/work/13321110

UR - http://www.aaabg.org/livestocklibrary/2005/362tier.pdf

M3 - Conference contribution

SN - 064309234X

SN - 0643092331

VL - 16

SP - 362

EP - 365

BT - Proceedings of the Association for the Advancement of Animal Breeding and Genetics

A2 - Association for the Advancement of Animal Breeding, AAABG:

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CY - Collingwood, Australia

T2 - AAABG 2005: 16th Conference of the Association for the Advancement of Animal Breeding and Genetics

Y2 - 25 September 2005 through 28 September 2005

ER -

A simple generalisation of Kinghorn's genotypic probability index

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