A comparison between singular value decomposition and eigenvector method in group decision making

In any group decision making exercise, the issues of having justified and consistent decisions are always of major concerns, especially when the group members come from diverse backgrounds, selection expectations and priorities, and there are a number of selection criteria to consider. This paper...

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Main Authors: Nur Jumaadzan Zaleha Mamat, Afzan Adam
Format: Article
Published: Penerbit ukm 2008
Online Access:http://journalarticle.ukm.my/1859/
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author Nur Jumaadzan Zaleha Mamat,
Afzan Adam ,
author_facet Nur Jumaadzan Zaleha Mamat,
Afzan Adam ,
author_sort Nur Jumaadzan Zaleha Mamat,
building UKM Institutional Repository
collection Online Access
description In any group decision making exercise, the issues of having justified and consistent decisions are always of major concerns, especially when the group members come from diverse backgrounds, selection expectations and priorities, and there are a number of selection criteria to consider. This paper looks at these issues in the faculty member selection domain where the objective is to select the best candidate to be the new faculty member. Two hypotheses are tested using two-way ANOVA; overall candidates’ ranking depends on their own performance and competencies, and overall candidates’ ranking does not depend on individual selection committee members’ different roles. Selection committee members were treated as treatment factor while the candidates as the blocking factor. Singular value decomposition (SVD) and eigenvector method (EM), two different methods in analytic hierarchy process (AHP) were used to obtain the rankings. The statistical tests showed that both SVD and EM resulted in the same conclusion, that is the overall candidates’ ranking does not depend on the difference in the selection committee members’ selection criteria preferences, but on the individual candidates’ performance and competencies. Hence, all parties can be assured of an unbiased evaluations and the selection process itself is conducted in the most professional manner
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institution Universiti Kebangasaan Malaysia
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spelling ukm-18592011-06-15T06:51:28Z http://journalarticle.ukm.my/1859/ A comparison between singular value decomposition and eigenvector method in group decision making Nur Jumaadzan Zaleha Mamat, Afzan Adam , In any group decision making exercise, the issues of having justified and consistent decisions are always of major concerns, especially when the group members come from diverse backgrounds, selection expectations and priorities, and there are a number of selection criteria to consider. This paper looks at these issues in the faculty member selection domain where the objective is to select the best candidate to be the new faculty member. Two hypotheses are tested using two-way ANOVA; overall candidates’ ranking depends on their own performance and competencies, and overall candidates’ ranking does not depend on individual selection committee members’ different roles. Selection committee members were treated as treatment factor while the candidates as the blocking factor. Singular value decomposition (SVD) and eigenvector method (EM), two different methods in analytic hierarchy process (AHP) were used to obtain the rankings. The statistical tests showed that both SVD and EM resulted in the same conclusion, that is the overall candidates’ ranking does not depend on the difference in the selection committee members’ selection criteria preferences, but on the individual candidates’ performance and competencies. Hence, all parties can be assured of an unbiased evaluations and the selection process itself is conducted in the most professional manner Penerbit ukm 2008-07 Article PeerReviewed Nur Jumaadzan Zaleha Mamat, and Afzan Adam , (2008) A comparison between singular value decomposition and eigenvector method in group decision making. Journal of Quality Measurement and Analysis, 4 (1). pp. 109-117. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html
spellingShingle Nur Jumaadzan Zaleha Mamat,
Afzan Adam ,
A comparison between singular value decomposition and eigenvector method in group decision making
title A comparison between singular value decomposition and eigenvector method in group decision making
title_full A comparison between singular value decomposition and eigenvector method in group decision making
title_fullStr A comparison between singular value decomposition and eigenvector method in group decision making
title_full_unstemmed A comparison between singular value decomposition and eigenvector method in group decision making
title_short A comparison between singular value decomposition and eigenvector method in group decision making
title_sort comparison between singular value decomposition and eigenvector method in group decision making
url http://journalarticle.ukm.my/1859/
http://journalarticle.ukm.my/1859/