Variance components estimation in generalized orthogonal models

Célia Fernandes; Paulo Ramos; Sandra Maria Bargão Saraiva  Ferreira; João Tiago Praça Nunes Mexia

Variance components estimation in generalized orthogonal models

Célia Fernandes, Paulo Ramos, Sandra Maria Bargão Saraiva Ferreira, João Tiago Praça Nunes Mexia

Research output: Contribution to journal › Article › peer-review

Abstract

The model y =∑^w_j=1Xjβ j+e is generalized orthogonal if the orthogonal projection matrices on the range spaces of matrices X_j, j =1, ..., w, commute. Unbiased estimators are obtained for the variance components of such models with cross-nesting.

Original language	English
Pages (from-to)	99-115
Number of pages	17
Journal	Discussiones Mathematicae: Probability and Statistics
Volume	27
Issue number	1-2
Publication status	Published - 1 Jan 2007

Keywords

generalized orthogonal models
variance components
generalized cross nesting designs

Cite this

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title = "Variance components estimation in generalized orthogonal models",

abstract = "The model y =∑wj=1Xjβ j+e is generalized orthogonal if the orthogonal projection matrices on the range spaces of matrices Xj , j =1, ..., w, commute. Unbiased estimators are obtained for the variance components of such models with cross-nesting.",

keywords = "generalized orthogonal models, variance components, generalized cross nesting designs",

author = "C{\'e}lia Fernandes and Paulo Ramos and Ferreira, {Sandra Maria Barg{\~a}o Saraiva} and Mexia, {Jo{\~a}o Tiago Pra{\c c}a Nunes}",

year = "2007",

month = jan,

day = "1",

language = "English",

volume = "27",

pages = "99--115",

journal = "Discussiones Mathematicae: Probability and Statistics",

issn = "1509-9423",

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T1 - Variance components estimation in generalized orthogonal models

AU - Fernandes, Célia

AU - Ramos, Paulo

AU - Ferreira, Sandra Maria Bargão Saraiva

AU - Mexia, João Tiago Praça Nunes

PY - 2007/1/1

Y1 - 2007/1/1

N2 - The model y =∑wj=1Xjβ j+e is generalized orthogonal if the orthogonal projection matrices on the range spaces of matrices Xj , j =1, ..., w, commute. Unbiased estimators are obtained for the variance components of such models with cross-nesting.

AB - The model y =∑wj=1Xjβ j+e is generalized orthogonal if the orthogonal projection matrices on the range spaces of matrices Xj , j =1, ..., w, commute. Unbiased estimators are obtained for the variance components of such models with cross-nesting.

KW - generalized orthogonal models

KW - variance components

KW - generalized cross nesting designs

M3 - Article

SN - 1509-9423

VL - 27

SP - 99

EP - 115

JO - Discussiones Mathematicae: Probability and Statistics

JF - Discussiones Mathematicae: Probability and Statistics

IS - 1-2

ER -

Variance components estimation in generalized orthogonal models

Abstract

Keywords

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