Models with stair nesting

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5 Citations (Scopus)

Abstract

When we work with balanced nested designs, the usual approach forces us to divide repeatedly the plots, so we have few degrees of freedom for the first levels. As an alternative we have the stair nested designs. Stair nesting leads to very light models since we can work with fewer observations and the amount of information for the different factors is more evenly distributed. This is in fact a big advantage when comparing with balanced nesting, since stair nesting will allow experiments that will become cheaper, due to the less number of observations involved, or with the same resources produce more experiments. For models with stair nesting it is easy to carry out inference, as we shall see. It is interesting to point out that stair nested designs although being orthogonal, with the advantages associated to that condition, are not balanced.

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
Pages1627-1630
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

  • Cartesian product
  • Commutative Jordan algebras
  • Inference
  • Stair nesting

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