Algebraic structure for the crossing of balanced and stair nested designs

Célia Fernandes, Paulo Ramos, and João Tiago Mexia. "Algebraic structure for the crossing of balanced and stair nested designs." Discussiones Mathematicae Probability and Statistics 34.1-2 (2014): 71-88. <http://eudml.org/doc/271055>.

@article{CéliaFernandes2014,
abstract = {Stair nesting allows us to work with fewer observations than the most usual form of nesting, the balanced nesting. In the case of stair nesting the amount of information for the different factors is more evenly distributed. This new design leads to greater economy, because we can work with fewer observations. In this work we present the algebraic structure of the cross of balanced nested and stair nested designs, using binary operations on commutative Jordan algebras. This new cross requires fewer observations than the usual cross balanced nested designs and it is easy to carry out inference.},
author = {Célia Fernandes, Paulo Ramos, João Tiago Mexia},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {balanced nested designs; stair nested designs; crossing; commutative Jordan algebras; variance components; inference},
language = {eng},
number = {1-2},
pages = {71-88},
title = {Algebraic structure for the crossing of balanced and stair nested designs},
url = {http://eudml.org/doc/271055},
volume = {34},
year = {2014},
}

TY - JOUR
AU - Célia Fernandes
AU - Paulo Ramos
AU - João Tiago Mexia
TI - Algebraic structure for the crossing of balanced and stair nested designs
JO - Discussiones Mathematicae Probability and Statistics
PY - 2014
VL - 34
IS - 1-2
SP - 71
EP - 88
AB - Stair nesting allows us to work with fewer observations than the most usual form of nesting, the balanced nesting. In the case of stair nesting the amount of information for the different factors is more evenly distributed. This new design leads to greater economy, because we can work with fewer observations. In this work we present the algebraic structure of the cross of balanced nested and stair nested designs, using binary operations on commutative Jordan algebras. This new cross requires fewer observations than the usual cross balanced nested designs and it is easy to carry out inference.
LA - eng
KW - balanced nested designs; stair nested designs; crossing; commutative Jordan algebras; variance components; inference
UR - http://eudml.org/doc/271055
ER -