ANOVA like analysis for structured families of stochastic matrices

Cristina Dias; Carla Santos; Maria Varadinov; João T. Mexia

doi:10.1063/1.4968735

ANOVA like analysis for structured families of stochastic matrices

Cristina Dias, Carla Santos, Maria Varadinov, João T. Mexia

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

2 Citations (Scopus)

Abstract

Symmetric stochastic matrices width a width a dominant eigenvalue λ and the corresponding eigenvector α appears in many applications. Such matrices can be written as M=λ α αt+Ē. Thus β = λ α will be the structure vector. When the matrices in such families correspond to the treatments of a base design we can carry out a ANOVA like analysis of the action of the treatments in the model on the structured vectors. This analysis can be transversal-when we worked width homologous components and - longitudinal when we consider contrast on the components of each structure vector. The analysis will be briefly considered at the end of our presentation.

Original language	English
Title of host publication	International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016
Publisher	AIP - American Institute of Physics
Volume	1790
ISBN (Electronic)	978-073541454-9
DOIs	https://doi.org/10.1063/1.4968735
Publication status	Published - 6 Dec 2016
Event	International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016 - Athens, Greece Duration: 17 Mar 2016 → 20 Mar 2016

Conference

Conference	International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016
Country/Territory	Greece
City	Athens
Period	17/03/16 → 20/03/16

Keywords

Stochastic matrices
Structured families
Transversal and longitudinal analysis

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Cite this

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title = "ANOVA like analysis for structured families of stochastic matrices",

abstract = "Symmetric stochastic matrices width a width a dominant eigenvalue λ and the corresponding eigenvector α appears in many applications. Such matrices can be written as M=λ α αt+Ē. Thus β = λ α will be the structure vector. When the matrices in such families correspond to the treatments of a base design we can carry out a ANOVA like analysis of the action of the treatments in the model on the structured vectors. This analysis can be transversal-when we worked width homologous components and - longitudinal when we consider contrast on the components of each structure vector. The analysis will be briefly considered at the end of our presentation.",

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Dias, C, Santos, C, Varadinov, M & Mexia, JT 2016, ANOVA like analysis for structured families of stochastic matrices. in International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016. vol. 1790, 140006, AIP - American Institute of Physics, International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016, Athens, Greece, 17/03/16. https://doi.org/10.1063/1.4968735

ANOVA like analysis for structured families of stochastic matrices. / Dias, Cristina; Santos, Carla; Varadinov, Maria et al.
International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016. Vol. 1790 AIP - American Institute of Physics, 2016. 140006.

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

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T1 - ANOVA like analysis for structured families of stochastic matrices

AU - Dias, Cristina

AU - Santos, Carla

AU - Varadinov, Maria

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PY - 2016/12/6

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AB - Symmetric stochastic matrices width a width a dominant eigenvalue λ and the corresponding eigenvector α appears in many applications. Such matrices can be written as M=λ α αt+Ē. Thus β = λ α will be the structure vector. When the matrices in such families correspond to the treatments of a base design we can carry out a ANOVA like analysis of the action of the treatments in the model on the structured vectors. This analysis can be transversal-when we worked width homologous components and - longitudinal when we consider contrast on the components of each structure vector. The analysis will be briefly considered at the end of our presentation.

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KW - Structured families

KW - Transversal and longitudinal analysis

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BT - International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016

PB - AIP - American Institute of Physics

T2 - International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016

Y2 - 17 March 2016 through 20 March 2016

ER -

ANOVA like analysis for structured families of stochastic matrices

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