A note on bias in reduced rank estimates of covariance matrices

Karin Meyer; Mark Kirkpatrick

A note on bias in reduced rank estimates of covariance matrices

Karin Meyer
, Mark Kirkpatrick

Animal Genetics and Breeding Unit

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

Abstract

Fitting only the leading principal components allows genetic covariance matrices to be modelled parsimoniously, yielding reduced rank estimates. If principal components with non-zero variances are omitted from the model, genetic variation is moved into the covariance matrices for residuals or other random effects. The resulting bias in estimates of genetic eigen-values and -vectors is examined.

Original language	English
Title of host publication	Proceedings of the Seventeenth Conference for the Advancement of Animal Breeding and Genetics
Editors	AAABG: Association for the Advancement of Animal Breeding, Genetics
Place of Publication	Armidale, Australia
Publisher	Association for the Advancement of Animal Breeding and Genetics (AAABG)
Pages	154-157
Volume	17
ISBN (Print)	1921208139
Publication status	Published - 2007
Event	AAABG 2007: 17th Conference of the Association for the Advancement of Animal Breeding and Genetics - University of New England, Armidale, Australia Duration: 23 Sept 2007 → 26 Sept 2007

Conference

Conference	AAABG 2007: 17th Conference of the Association for the Advancement of Animal Breeding and Genetics
City	Armidale, Australia
Period	23/09/07 → 26/09/07

Keywords

Quantitative Genetics (incl Disease and Trait Mapping Genetics)

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https://hdl.handle.net/1959.11/4163

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Meyer, K., & Kirkpatrick, M. (2007). A note on bias in reduced rank estimates of covariance matrices. In AAABG. Association for the Advancement of Animal Breeding, & Genetics (Eds.), Proceedings of the Seventeenth Conference for the Advancement of Animal Breeding and Genetics (Vol. 17, pp. 154-157). Association for the Advancement of Animal Breeding and Genetics (AAABG). https://hdl.handle.net/1959.11/4163

Meyer, Karin ; Kirkpatrick, Mark. / A note on bias in reduced rank estimates of covariance matrices. Proceedings of the Seventeenth Conference for the Advancement of Animal Breeding and Genetics. editor / AAABG: Association for the Advancement of Animal Breeding ; Genetics. Vol. 17 Armidale, Australia : Association for the Advancement of Animal Breeding and Genetics (AAABG), 2007. pp. 154-157

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title = "A note on bias in reduced rank estimates of covariance matrices",

abstract = "Fitting only the leading principal components allows genetic covariance matrices to be modelled parsimoniously, yielding reduced rank estimates. If principal components with non-zero variances are omitted from the model, genetic variation is moved into the covariance matrices for residuals or other random effects. The resulting bias in estimates of genetic eigen-values and -vectors is examined.",

keywords = "Quantitative Genetics (incl Disease and Trait Mapping Genetics)",

author = "Karin Meyer and Mark Kirkpatrick",

year = "2007",

language = "English",

isbn = "1921208139",

volume = "17",

pages = "154--157",

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

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

publisher = "Association for the Advancement of Animal Breeding and Genetics (AAABG)",

note = "AAABG 2007: 17th Conference of the Association for the Advancement of Animal Breeding and Genetics ; Conference date: 23-09-2007 Through 26-09-2007",

}

Meyer, K & Kirkpatrick, M 2007, A note on bias in reduced rank estimates of covariance matrices. in AAABG Association for the Advancement of Animal Breeding & Genetics (eds), Proceedings of the Seventeenth Conference for the Advancement of Animal Breeding and Genetics. vol. 17, Association for the Advancement of Animal Breeding and Genetics (AAABG), Armidale, Australia, pp. 154-157, AAABG 2007: 17th Conference of the Association for the Advancement of Animal Breeding and Genetics, Armidale, Australia, 23/09/07. <https://hdl.handle.net/1959.11/4163>

A note on bias in reduced rank estimates of covariance matrices. / Meyer, Karin; Kirkpatrick, Mark.
Proceedings of the Seventeenth Conference for the Advancement of Animal Breeding and Genetics. ed. / AAABG: Association for the Advancement of Animal Breeding; Genetics. Vol. 17 Armidale, Australia: Association for the Advancement of Animal Breeding and Genetics (AAABG), 2007. p. 154-157.

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

TY - GEN

T1 - A note on bias in reduced rank estimates of covariance matrices

AU - Meyer, Karin

AU - Kirkpatrick, Mark

PY - 2007

Y1 - 2007

N2 - Fitting only the leading principal components allows genetic covariance matrices to be modelled parsimoniously, yielding reduced rank estimates. If principal components with non-zero variances are omitted from the model, genetic variation is moved into the covariance matrices for residuals or other random effects. The resulting bias in estimates of genetic eigen-values and -vectors is examined.

AB - Fitting only the leading principal components allows genetic covariance matrices to be modelled parsimoniously, yielding reduced rank estimates. If principal components with non-zero variances are omitted from the model, genetic variation is moved into the covariance matrices for residuals or other random effects. The resulting bias in estimates of genetic eigen-values and -vectors is examined.

KW - Quantitative Genetics (incl Disease and Trait Mapping Genetics)

UR - http://trove.nla.gov.au/work/35062558?selectedversion=NBD42373479

UR - http://www.aaabg.org/livestocklibrary/2007/meyer154.pdf

M3 - Conference contribution

SN - 1921208139

VL - 17

SP - 154

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BT - Proceedings of the Seventeenth Conference for the Advancement of Animal Breeding and Genetics

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

A2 - Genetics, null

PB - Association for the Advancement of Animal Breeding and Genetics (AAABG)

CY - Armidale, Australia

T2 - AAABG 2007: 17th Conference of the Association for the Advancement of Animal Breeding and Genetics

Y2 - 23 September 2007 through 26 September 2007

ER -

Meyer K, Kirkpatrick M. A note on bias in reduced rank estimates of covariance matrices. In Association for the Advancement of Animal Breeding AAABG, Genetics, editors, Proceedings of the Seventeenth Conference for the Advancement of Animal Breeding and Genetics. Vol. 17. Armidale, Australia: Association for the Advancement of Animal Breeding and Genetics (AAABG). 2007. p. 154-157

A note on bias in reduced rank estimates of covariance matrices

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Keywords

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