Constrained unidimensional scaling with application to genomics

S. I. Ao; Michael K. Ng; Pak C. Sham

doi:10.1016/j.csda.2006.11.012

Constrained unidimensional scaling with application to genomics

S. I. Ao, Michael K. Ng^*, Pak C. Sham

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › 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

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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title = "Constrained unidimensional scaling with application to genomics",

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, {Michael K.} 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. ",

year = "2007",

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AU - Ao, S. I.

AU - Ng, Michael K.

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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U2 - 10.1016/j.csda.2006.11.012

DO - 10.1016/j.csda.2006.11.012

M3 - Journal article

AN - SCOPUS:34548223685

SN - 0167-9473

VL - 52

SP - 201

EP - 210

JO - Computational Statistics and Data Analysis

JF - Computational Statistics and Data Analysis

IS - 1

ER -

Constrained unidimensional scaling with application to genomics

Abstract

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