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

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Structured orthogonal families of one and two strata prime basis factorial models. / Rodrigues, Paulo C.; Moreira, Elsa E.; Jesus, Vera M.; Mexia, João T.

In: Statistical Papers, Vol. 55, No. 3, 2014, p. 603-614.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Rodrigues, PC, Moreira, EE, Jesus, VM & Mexia, JT 2014, 'Structured orthogonal families of one and two strata prime basis factorial models', Statistical Papers, vol. 55, no. 3, pp. 603-614. https://doi.org/10.1007/s00362-013-0507-0

APA

Rodrigues, P. C., Moreira, E. E., Jesus, V. M., & Mexia, J. T. (2014). Structured orthogonal families of one and two strata prime basis factorial models. Statistical Papers, 55(3), 603-614. https://doi.org/10.1007/s00362-013-0507-0

Vancouver

Rodrigues PC, Moreira EE, Jesus VM, Mexia JT. Structured orthogonal families of one and two strata prime basis factorial models. Statistical Papers. 2014;55(3):603-614. https://doi.org/10.1007/s00362-013-0507-0

Author

Rodrigues, Paulo C. ; Moreira, Elsa E. ; Jesus, Vera M. ; Mexia, João T. / Structured orthogonal families of one and two strata prime basis factorial models. In: Statistical Papers. 2014 ; Vol. 55, No. 3. pp. 603-614.

Bibtex - Download

@article{b42dd8497ac145f0ac47c2c45e8edef7,
title = "Structured orthogonal families of one and two strata prime basis factorial models",
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",
author = "Rodrigues, {Paulo C.} and Moreira, {Elsa E.} and Jesus, {Vera M.} and Mexia, {Jo{\~a}o T.}",
year = "2014",
doi = "10.1007/s00362-013-0507-0",
language = "English",
volume = "55",
pages = "603--614",
journal = "Statistical Papers",
issn = "0932-5026",
publisher = "Springer Verlag",
number = "3",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Structured orthogonal families of one and two strata prime basis factorial models

AU - Rodrigues, Paulo C.

AU - Moreira, Elsa E.

AU - Jesus, Vera M.

AU - Mexia, João T.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Factorial designs

KW - Families of models

KW - Nested models

KW - Orthogonal models

KW - Two strata models

UR - http://www.scopus.com/inward/record.url?scp=84903887341&partnerID=8YFLogxK

U2 - 10.1007/s00362-013-0507-0

DO - 10.1007/s00362-013-0507-0

M3 - Article

VL - 55

SP - 603

EP - 614

JO - Statistical Papers

JF - Statistical Papers

SN - 0932-5026

IS - 3

ER -