| Name: | Description: | Size: | Format: | |
|---|---|---|---|---|
| 143.65 KB | Adobe PDF |
Advisor(s)
Abstract(s)
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.
Description
Keywords
Balanced Nested Designs Stair Nested Designs Crossing Commutative Jordan Algebras Variance Components Inference
Citation
FERNANDES, Célia Maria da Silva; RAMOS, Paulo José Raimundo; MEXIA, João Tiago – Algebraic structure for the crossing of balanced and stair nested designs. Discussiones Mathematicae, Probability and Statistics. ISSN: 1509-9423. Vol. 34, nr. 1-2 (2014), pp. 71-88