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Structured orthogonal families of one and two strata prime basis factorial models

Research output: Contribution to journalArticleScientificpeer-review

Details

Original languageEnglish
Pages (from-to)603-614
Number of pages12
JournalStatistical Papers
Volume55
Issue number3
DOIs
Publication statusPublished - 2014
Publication typeA1 Journal article-refereed

Abstract

The models in structured families correspond to the treatments of a fixed effects base design π, on the fixed effects parameters of the models, is studied. Analyzing such a families enables the study of the action of nesting factors on the effects and interactions of nested factors. When π has an orthogonal structure, the family of models is said to be orthogonal. The models in the family can have one, two or more strata. Models with more than one stratum are obtained through nesting of one stratum models. A general treatment of the case in which the base design has orthogonal structure is presented and a special emphasis is given to the families of prime basis factorials models. These last models are, as it is well known, widely used in fertilization trials.

Keywords

  • Factorial designs, Families of models, Nested models, Orthogonal models, Two strata models