Comparison of Collinearity Indices for Linear Models in Agricultural Trials

Rivas D.V.; Sánchez J.M.P.; Rivero C.A.A.; Del Carpio C.M.F.; Carrera C.O.; Vasquez M.G.; Calderón L.R.; Salinas L.E.C.; Rojas K.P.; Rojas L.C.; Figueroa J.J.R.; Narrea C.; Felicia L.; Pachas S.; Delia A.; Benoutt A.; Felipe; Flores A.N.N.; Pupuche P.E.Z.; Falcón C.F.; Fernández Y.M.M.C.; Lezama M.T.F.; Tello A.R.L.; Chávez P.V.A.; Rosas V.H.F.; Polo F.A.E.; Pingo G.E.C.; Vera M.C.M.; Muñoz C.A.C.; Diaz L.O.M.; López M.Á.H.; Campos M.D.V.; Bazán E.D.; Campaña Z.G.; Carranza J.P.; Ventura L.J.A.; Correa G.M.M.; Becerra R.A.C.; Barboza J.R.R.; Prieto R.D.V.; Prieto C.R.V.; Bellizza M.M.Q.; Vilchez F.E.E.; Llerena S.L.S. · OnLine Journal of Biological Sciences (2024) · DOI: 10.3844/ojbsci.2024.195.207

Resumen

The deleterious consequences of collinearity in linear regression on the precision of estimators of regression coefficients and the interpretability of the fitted model are widely recognized. In this study, we compare several methodologies for assessing collinearity in linear models and explore the effect of outliers on collinearity. The robustness of collinearity measures (individual and overall) is validated through two detailed Monte Carlo simulation study which also considers the effect of outliers on collinearity indices. The methods are illustrated with two real-world agricultural and fish morphology l data sets to show potential applications. The results do not provide any evidence for an effect from outliers on collinearity identification using the collinearity indices (individual and overall). The FG and Fj collinearity indices more robust as both sample size and collinearity degree increase. The VIF (individual measure) had a better performance on the fitted model with a greater number of parameters.

Instituciones: Universidad Nacional de Trujillo; Universidad Nacional San Luis Gonzaga; Universidad San Ignacio de Loyola; Universidad Continental; Universidad Nacional Federico Villarreal; Universidad del Pacífico; Universidad Nacional de Jaén; Universidad Femenina del Sagrado Corazón; Universidad Privada Norbert Wiener; Universidad César Vallejo; Universidad Autónoma de Ica; Universidad Señor de Sipán; Universidad Católica de Trujillo Benedicto XVI