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 proceedingConference contributionpeer-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 languageEnglish
Title of host publicationInternational Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016
PublisherAmerican Institute of Physics
Volume1790
ISBN (Electronic)978-073541454-9
DOIs
Publication statusPublished - 6 Dec 2016
EventInternational Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016 - Athens, Greece
Duration: 17 Mar 201620 Mar 2016

Conference

ConferenceInternational Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016
Country/TerritoryGreece
CityAthens
Period17/03/1620/03/16

Keywords

  • Stochastic matrices
  • Structured families
  • Transversal and longitudinal analysis

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