An approach to the decomposition of interaction in a factorial experiment with five factors

Factorial experiments are widely employed in agricultural research. In these experiments, inferences related to the interaction between factors are fundamental. However, many researchers are still unable to analyze this type of experiment, and others do not consider the effect of interaction. This study aims to exemplify a scheme for unfolding the degrees of freedom and to demonstrate the relevance of this rearrangement when the interaction is significant. For these purposes, the response variable time of cooking bean grains was measured in minutes using a completely casualized experimental design, with two replications, arranged in a 2 x 2 x 3 x 2 x 2 factorial scheme (fivefold classification). The following factors were evaluated: bean genotypes (2 levels), salt type (2 levels), salt dose (3 levels), hydration time (2 levels) and storage time (2 levels). The results highlight the importance of unfolding the degrees of freedom of the interaction every time it is significant because the possibility of evaluating the interaction between factors leads to conclusions related to the dependence between the factors. These results are more coherent with biological systems, and the example shown provides a solid basis for minimizing errors in factorial experiments.

Saved in:
Bibliographic Details
Main Authors: Rocha,Fabiani da, Vale,Naine Martins do, Barili,Leiri Daiana, Coimbra,Jefferson Luís Meirelles, Guidolin,Altamir Frederico, Bertoldo,Juliano Garcia
Format: Digital revista
Language:English
Published: Editora da Universidade Estadual de Maringá - EDUEM 2012
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-86212012000100008
Tags: Add Tag
No Tags, Be the first to tag this record!
id oai:scielo:S1807-86212012000100008
record_format ojs
spelling oai:scielo:S1807-862120120001000082012-01-05An approach to the decomposition of interaction in a factorial experiment with five factorsRocha,Fabiani daVale,Naine Martins doBarili,Leiri DaianaCoimbra,Jefferson Luís MeirellesGuidolin,Altamir FredericoBertoldo,Juliano Garcia dependence between factors main effect simple effect Factorial experiments are widely employed in agricultural research. In these experiments, inferences related to the interaction between factors are fundamental. However, many researchers are still unable to analyze this type of experiment, and others do not consider the effect of interaction. This study aims to exemplify a scheme for unfolding the degrees of freedom and to demonstrate the relevance of this rearrangement when the interaction is significant. For these purposes, the response variable time of cooking bean grains was measured in minutes using a completely casualized experimental design, with two replications, arranged in a 2 x 2 x 3 x 2 x 2 factorial scheme (fivefold classification). The following factors were evaluated: bean genotypes (2 levels), salt type (2 levels), salt dose (3 levels), hydration time (2 levels) and storage time (2 levels). The results highlight the importance of unfolding the degrees of freedom of the interaction every time it is significant because the possibility of evaluating the interaction between factors leads to conclusions related to the dependence between the factors. These results are more coherent with biological systems, and the example shown provides a solid basis for minimizing errors in factorial experiments.info:eu-repo/semantics/openAccessEditora da Universidade Estadual de Maringá - EDUEMActa Scientiarum. Agronomy v.34 n.1 20122012-03-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-86212012000100008en10.1590/S1807-86212012000100008
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Rocha,Fabiani da
Vale,Naine Martins do
Barili,Leiri Daiana
Coimbra,Jefferson Luís Meirelles
Guidolin,Altamir Frederico
Bertoldo,Juliano Garcia
spellingShingle Rocha,Fabiani da
Vale,Naine Martins do
Barili,Leiri Daiana
Coimbra,Jefferson Luís Meirelles
Guidolin,Altamir Frederico
Bertoldo,Juliano Garcia
An approach to the decomposition of interaction in a factorial experiment with five factors
author_facet Rocha,Fabiani da
Vale,Naine Martins do
Barili,Leiri Daiana
Coimbra,Jefferson Luís Meirelles
Guidolin,Altamir Frederico
Bertoldo,Juliano Garcia
author_sort Rocha,Fabiani da
title An approach to the decomposition of interaction in a factorial experiment with five factors
title_short An approach to the decomposition of interaction in a factorial experiment with five factors
title_full An approach to the decomposition of interaction in a factorial experiment with five factors
title_fullStr An approach to the decomposition of interaction in a factorial experiment with five factors
title_full_unstemmed An approach to the decomposition of interaction in a factorial experiment with five factors
title_sort approach to the decomposition of interaction in a factorial experiment with five factors
description Factorial experiments are widely employed in agricultural research. In these experiments, inferences related to the interaction between factors are fundamental. However, many researchers are still unable to analyze this type of experiment, and others do not consider the effect of interaction. This study aims to exemplify a scheme for unfolding the degrees of freedom and to demonstrate the relevance of this rearrangement when the interaction is significant. For these purposes, the response variable time of cooking bean grains was measured in minutes using a completely casualized experimental design, with two replications, arranged in a 2 x 2 x 3 x 2 x 2 factorial scheme (fivefold classification). The following factors were evaluated: bean genotypes (2 levels), salt type (2 levels), salt dose (3 levels), hydration time (2 levels) and storage time (2 levels). The results highlight the importance of unfolding the degrees of freedom of the interaction every time it is significant because the possibility of evaluating the interaction between factors leads to conclusions related to the dependence between the factors. These results are more coherent with biological systems, and the example shown provides a solid basis for minimizing errors in factorial experiments.
publisher Editora da Universidade Estadual de Maringá - EDUEM
publishDate 2012
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-86212012000100008
work_keys_str_mv AT rochafabianida anapproachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT valenainemartinsdo anapproachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT barilileiridaiana anapproachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT coimbrajeffersonluismeirelles anapproachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT guidolinaltamirfrederico anapproachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT bertoldojulianogarcia anapproachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT rochafabianida approachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT valenainemartinsdo approachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT barilileiridaiana approachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT coimbrajeffersonluismeirelles approachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT guidolinaltamirfrederico approachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
AT bertoldojulianogarcia approachtothedecompositionofinteractioninafactorialexperimentwithfivefactors
_version_ 1756432544345096192