Degree of multicollinearity and variables involved in linear dependence in additive-dominant models
The objective of this work was to assess the degree of multicollinearity and to identify the variables involved in linear dependence relations in additive-dominant models. Data of birth weight (n=141,567), yearling weight (n=58,124), and scrotal circumference (n=20,371) of Montana Tropical composite...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Embrapa Informação Tecnológica
2012-12-01
|
| Series: | Pesquisa Agropecuária Brasileira |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-204X2012001200010&lng=en&tlng=en |
| _version_ | 1819142686914904064 |
|---|---|
| author | Juliana Petrini Raphael Antonio Prado Dias Simone Fernanda Nedel Pertile Joanir Pereira Eler José Bento Sterman Ferraz Gerson Barreto Mourão |
| author_facet | Juliana Petrini Raphael Antonio Prado Dias Simone Fernanda Nedel Pertile Joanir Pereira Eler José Bento Sterman Ferraz Gerson Barreto Mourão |
| author_sort | Juliana Petrini |
| collection | DOAJ |
| description | The objective of this work was to assess the degree of multicollinearity and to identify the variables involved in linear dependence relations in additive-dominant models. Data of birth weight (n=141,567), yearling weight (n=58,124), and scrotal circumference (n=20,371) of Montana Tropical composite cattle were used. Diagnosis of multicollinearity was based on the variance inflation factor (VIF) and on the evaluation of the condition indexes and eigenvalues from the correlation matrix among explanatory variables. The first model studied (RM) included the fixed effect of dam age class at calving and the covariates associated to the direct and maternal additive and non-additive effects. The second model (R) included all the effects of the RM model except the maternal additive effects. Multicollinearity was detected in both models for all traits considered, with VIF values of 1.03 - 70.20 for RM and 1.03 - 60.70 for R. Collinearity increased with the increase of variables in the model and the decrease in the number of observations, and it was classified as weak, with condition index values between 10.00 and 26.77. In general, the variables associated with additive and non-additive effects were involved in multicollinearity, partially due to the natural connection between these covariables as fractions of the biological types in breed composition. |
| first_indexed | 2024-12-22T12:14:18Z |
| format | Article |
| id | doaj.art-42449723423744f2a7d5ed486ee6ea17 |
| institution | Directory Open Access Journal |
| issn | 1678-3921 |
| language | English |
| last_indexed | 2024-12-22T12:14:18Z |
| publishDate | 2012-12-01 |
| publisher | Embrapa Informação Tecnológica |
| record_format | Article |
| series | Pesquisa Agropecuária Brasileira |
| spelling | doaj.art-42449723423744f2a7d5ed486ee6ea172022-12-21T18:26:12ZengEmbrapa Informação TecnológicaPesquisa Agropecuária Brasileira1678-39212012-12-0147121743175010.1590/S0100-204X2012001200010S0100-204X2012001200010Degree of multicollinearity and variables involved in linear dependence in additive-dominant modelsJuliana Petrini0Raphael Antonio Prado Dias1Simone Fernanda Nedel Pertile2Joanir Pereira Eler3José Bento Sterman Ferraz4Gerson Barreto Mourão5Universidade de São PauloInstituto Federal do Sul de Minas GeraisUniversidade de São PauloUniversidade de São PauloUniversidade de São PauloUniversidade de São PauloThe objective of this work was to assess the degree of multicollinearity and to identify the variables involved in linear dependence relations in additive-dominant models. Data of birth weight (n=141,567), yearling weight (n=58,124), and scrotal circumference (n=20,371) of Montana Tropical composite cattle were used. Diagnosis of multicollinearity was based on the variance inflation factor (VIF) and on the evaluation of the condition indexes and eigenvalues from the correlation matrix among explanatory variables. The first model studied (RM) included the fixed effect of dam age class at calving and the covariates associated to the direct and maternal additive and non-additive effects. The second model (R) included all the effects of the RM model except the maternal additive effects. Multicollinearity was detected in both models for all traits considered, with VIF values of 1.03 - 70.20 for RM and 1.03 - 60.70 for R. Collinearity increased with the increase of variables in the model and the decrease in the number of observations, and it was classified as weak, with condition index values between 10.00 and 26.77. In general, the variables associated with additive and non-additive effects were involved in multicollinearity, partially due to the natural connection between these covariables as fractions of the biological types in breed composition.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-204X2012001200010&lng=en&tlng=enBos taurus x Bos indicusmelhoramento animalbovino de cortematriz de correlaçãocruzamentofator de inflação da variância |
| spellingShingle | Juliana Petrini Raphael Antonio Prado Dias Simone Fernanda Nedel Pertile Joanir Pereira Eler José Bento Sterman Ferraz Gerson Barreto Mourão Degree of multicollinearity and variables involved in linear dependence in additive-dominant models Pesquisa Agropecuária Brasileira Bos taurus x Bos indicus melhoramento animal bovino de corte matriz de correlação cruzamento fator de inflação da variância |
| title | Degree of multicollinearity and variables involved in linear dependence in additive-dominant models |
| title_full | Degree of multicollinearity and variables involved in linear dependence in additive-dominant models |
| title_fullStr | Degree of multicollinearity and variables involved in linear dependence in additive-dominant models |
| title_full_unstemmed | Degree of multicollinearity and variables involved in linear dependence in additive-dominant models |
| title_short | Degree of multicollinearity and variables involved in linear dependence in additive-dominant models |
| title_sort | degree of multicollinearity and variables involved in linear dependence in additive dominant models |
| topic | Bos taurus x Bos indicus melhoramento animal bovino de corte matriz de correlação cruzamento fator de inflação da variância |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-204X2012001200010&lng=en&tlng=en |
| work_keys_str_mv | AT julianapetrini degreeofmulticollinearityandvariablesinvolvedinlineardependenceinadditivedominantmodels AT raphaelantoniopradodias degreeofmulticollinearityandvariablesinvolvedinlineardependenceinadditivedominantmodels AT simonefernandanedelpertile degreeofmulticollinearityandvariablesinvolvedinlineardependenceinadditivedominantmodels AT joanirpereiraeler degreeofmulticollinearityandvariablesinvolvedinlineardependenceinadditivedominantmodels AT josebentostermanferraz degreeofmulticollinearityandvariablesinvolvedinlineardependenceinadditivedominantmodels AT gersonbarretomourao degreeofmulticollinearityandvariablesinvolvedinlineardependenceinadditivedominantmodels |