Constrained unidimensional scaling with application to genomics

S. I. Ao; Kwok Po NG; Pak C. Sham

doi:10.1016/j.csda.2006.11.012

Constrained unidimensional scaling with application to genomics

S. I. Ao, Kwok Po NG^*, Pak C. Sham

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A constrained unidimensional scaling model where the objects are required to be placed in a given order on the real line, is studied. A procedure formulated as a least squares problem with nonnegativity is considered to solve this problem. An application to linkage disequilibrium (LD) maps for human genome is presented to demonstrate the proposed model. The LD maps are also constructed for four populations from Hapmap data sets, and analyze some of their similarities.

Original language	English
Pages (from-to)	201-210
Number of pages	10
Journal	Computational Statistics and Data Analysis
Volume	52
Issue number	1
DOIs	https://doi.org/10.1016/j.csda.2006.11.012
Publication status	Published - 15 Sept 2007

Scopus Subject Areas

Statistics and Probability
Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

User-Defined Keywords

Constraints
Genomics
Least squares problem
Linkage disequilibrium
Nonnegativity
Unidimensional scaling

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10.1016/j.csda.2006.11.012

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abstract = "A constrained unidimensional scaling model where the objects are required to be placed in a given order on the real line, is studied. A procedure formulated as a least squares problem with nonnegativity is considered to solve this problem. An application to linkage disequilibrium (LD) maps for human genome is presented to demonstrate the proposed model. The LD maps are also constructed for four populations from Hapmap data sets, and analyze some of their similarities.",

keywords = "Constraints, Genomics, Least squares problem, Linkage disequilibrium, Nonnegativity, Unidimensional scaling",

author = "Ao, {S. I.} and NG, {Kwok Po} and Sham, {Pak C.}",

note = "Funding Information: Research supported in part by Hong Kong Research Grants Council Grant Nos. 7035/04P and 7035/05P and HKBU FRGs. ",

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AU - Ao, S. I.

AU - NG, Kwok Po

AU - Sham, Pak C.

N1 - Funding Information: Research supported in part by Hong Kong Research Grants Council Grant Nos. 7035/04P and 7035/05P and HKBU FRGs.

PY - 2007/9/15

Y1 - 2007/9/15

N2 - A constrained unidimensional scaling model where the objects are required to be placed in a given order on the real line, is studied. A procedure formulated as a least squares problem with nonnegativity is considered to solve this problem. An application to linkage disequilibrium (LD) maps for human genome is presented to demonstrate the proposed model. The LD maps are also constructed for four populations from Hapmap data sets, and analyze some of their similarities.

AB - A constrained unidimensional scaling model where the objects are required to be placed in a given order on the real line, is studied. A procedure formulated as a least squares problem with nonnegativity is considered to solve this problem. An application to linkage disequilibrium (LD) maps for human genome is presented to demonstrate the proposed model. The LD maps are also constructed for four populations from Hapmap data sets, and analyze some of their similarities.

KW - Constraints

KW - Genomics

KW - Least squares problem

KW - Linkage disequilibrium

KW - Nonnegativity

KW - Unidimensional scaling

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M3 - Article

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SN - 0167-9473

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JO - Computational Statistics and Data Analysis

JF - Computational Statistics and Data Analysis

IS - 1

ER -

Constrained unidimensional scaling with application to genomics

Abstract

Scopus Subject Areas

User-Defined Keywords

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