@inproceedings{b0bffb667e094f7fbccc91a621ddf4f0,

title = "Models with stair nesting",

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.",

keywords = "Cartesian product, Commutative Jordan algebras, Inference, Stair nesting",

author = "C{\'e}lia Fernandes and Mexia, {Jo{\~a}o T.} and Paulo Ramos and Francisco Carvalho",

year = "2011",

doi = "10.1063/1.3636920",

language = "English",

isbn = "9780735409569",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

pages = "1627--1630",

editor = "Theodōros Simos and George Psihoyios",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011",

address = "United States",

note = "ICNAAM 2011 : International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2011 ; Conference date: 19-09-2011 Through 25-09-2011",

}