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Doctoral Thesis
DOI
https://doi.org/10.11606/T.11.2020.tde-20200111-122024
Document
Author
Full name
Carlos Roberto Padovani
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
Piracicaba, 1984
Supervisor
Title in Portuguese
Estimabilidade no modelo linear em classificação hierárquica com s estágios
Keywords in Portuguese
DELINEAMENTO EXPERIMENTAL
MODELOS LINEARES
Abstract in Portuguese
Considera-se o modelo linear em classificação hierárquica, com s-estágios, onde as subclasses em cada um dos s-estágios, podem possuir um número diferente de unidades experimentais. Através do conceito de função linear paramétrica estimável no contexto de modelo linear, estabelece-se um teorema que resulta numa regra simples e prática para identificar a estabilidade no modelo considerado. Baseado nesse teorema, concluem-se que são estimáveis as diferenças entre duas médias de classes e todas as diferenças entre duas médiasde subclasses de um j-ésimo estágio, dentro da subclasse do (j-1)-ésimo estágio. Faz-se ainda a programação computacional da metodologia apresentada e ilustra-se o desenvolvimento teórico com uma aplicação a dados de comprimentos de fibras de madeira.
Title in English
Estimability in linear model in hierarchical classification with s stages
Abstract in English
The linear model with hierarchical classification in s stages with possible different sub-unit numbers of observations is considered in this work.Through estimability of linear function of parameters concept, a theorem is stablished resulting in a simple and practical rule under which estimability of the parameters of the model can be identified. Based on this theorem, the estimability of the differences among classes averages and all differences between two jth sub-classes within a the (j-1) th sub-class can be obtained. Computer programs for the methodology are presented and the theoretical development is exemplified by an application to wood fiber measurements.
 
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Publishing Date
2020-01-11
 
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