Interaction in balanced cross nested designs

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Commutative Jordan Algebras, CJA, are used in the study of mixed models obtained, through crossing and nesting, from simpler ones. In the study of cross nested models the interaction between nested factors have been systematically discarded. However this can constitutes an artificial simplification of the models. We point out that, when two crossed factors interact, such interaction is symmetric, both factors playing in it equivalent roles, while when two nested factors interact, the interaction is determined by the nesting factor. These interactions will be called interactions with nesting. In this work we present a coherent formulation of the algebraic structure of models enabling the choice of families of interactions between cross and nested factors using binary operations on CJA.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics, ICNAAM 2011
Subtitle of host publicationInternational Conference on Numerical Analysis and Applied Mathematics
EditorsTheodōros Simos, George Psihoyios
Place of PublicationMelville
PublisherAmerican Institute of Physics
Pages1619-1622
Number of pages4
ISBN (Print)9780735409569
DOIs
Publication statusPublished - 2011
EventICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics - Halkidiki, Greece
Duration: 19 Sep 201125 Sep 2011

Publication series

NameAIP Conference Proceedings
Volume1389
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceICNAAM 2011
Abbreviated titleICNAAM 2011
CountryGreece
CityHalkidiki
Period19/09/1125/09/11

Keywords

  • Balanced cross nested designs
  • commutative Jordan algebras
  • interaction

Fingerprint

Dive into the research topics of 'Interaction in balanced cross nested designs'. Together they form a unique fingerprint.

Cite this