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Frequency: Quarterly
ISSN: 1608-4217 (Print)
ISSN: 2410-8561 (Online)
Research Article Open Access

Comparison of Collinearity Indices for Linear Models in Agricultural Trials

Danny Villegas Rivas1, José M. Palacios Sánchez2, Cristina A. Alzamora Rivero2, Carlos M. Franco Del Carpio2, César Osorio Carrera3, Martin Grados Vasquez1, Luis Ramírez Calderón1, Luis E. Cruz Salinas1, Karin Ponce Rojas1, Liliana Correa Rojas1, José Jorge Rodríguez Figueroa1, Felicia L. Cáceres Narrea2, Delia A. Saravia Pachas2, Arrieta Benoutt Felipe2, Arturo N. Neyra Flores2, Pedro E. Zata Pupuche2, Carlos Fabián Falcón1, Yolanda Maribel Mercedes Chipana Fernández1, Marilú T. Flores Lezama1, Asunción R. Lezcano Tello1, Pablo V. Aguilar Chávez1, Víctor Hugo Fernández Rosas1, Francisco Alejandro Espinoza Polo1, Gaby Esther Chunga Pingo1, Mercy Carolina Merejildo Vera4, Carlos Alfredo Cerna Muñoz5, Luis Orlando Miranda Diaz5, Miguel Ángel Hernández López6, Martín Desiderio Vejarano Campos7, Erick Delgado Bazán8, Zadith Garrido Campaña8, José Paredes Carranza9, Leyli J. Aguilar Ventura10, Graciela M. Monroy Correa2, Ruth A. Chicana Becerra11, Jhonny Richard Rodriguez Barboza12, Rafael Damián Villón Prieto1, Claudia Rosalía Villón Prieto1, Mariella M. Quipas Bellizza13, Fernando Emilio Escudero Vilchez14 and Silvia Liliana Salazar Llerena14
  • 1 Graduate School, Universidad César Vallejo, Peru
  • 2 Faculty of Education, Universidad Nacional Federico Villarreal, Peru
  • 3 Graduate School, Universidad Continental, Peru
  • 4 Graduate School, Universidad Privada Norbert Wiener, Lima, Peru
  • 5 Graduate School, Universidad Católica de Trujillo Benedicto XVI, Trujillo, Peru
  • 6 Graduate School, Universidad Nacional San Luis Gonzaga, Ica, Peru
  • 7 Graduate School, Universidad Señor de Sipán, Chiclayo, Peru
  • 8 Faculty of Engineering. Universidad Nacional de Jaén, Cajamarca, Peru
  • 9 School of Medical Technology, Universidad Nacional de Jaén, Cajamarca, Peru
  • 10 Graduate School, Universidad Nacional de Trujillo, Peru
  • 11 Graduate School, Universidad del Pacífico, Peru
  • 12 Center for Language Studies, Universidad San Ignacio de Loyola, Peru
  • 13 Graduate School, Universidad Femenina del Sagrado Corazón, Peru
  • 14 Faculty of Engineering, Sciences and Administration, Universidad Autónoma de Ica, Peru

Abstract

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.

OnLine Journal of Biological Sciences
Volume 24 No. 2, 2024, 195-207

DOI: https://doi.org/10.3844/ojbsci.2024.195.207

Submitted On: 14 June 2023 Published On: 28 December 2023

How to Cite: 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, F. L. C., Pachas, D. A. S., Felipe, A. B., Neyra Flores, A. N., Zata Pupuche, P. E., Falcón, C. F., Chipana Fernández, Y. M. M., Lezama, M. T. F., Tello, A. R. L., Chávez, P. V. A., Rosas, V. H. F., Polo, F. A. E., Chunga Pingo, G. E., Merejildo Vera, M. C., Cerna Muñoz, C. A., Miranda Diaz, L. O., Hernández López, M. �., Vejarano Campos, M. D., Bazán, E. D., Campaña, Z. G., Carranza, J. P., Ventura, L. J. A., Monroy Correa, G. M., Chicana Becerra, R. A., Barboza, J. R. R., Villón Prieto, R. D., Villón Prieto, C. R., Quipas Bellizza, M. M., Escudero Vilchez, F. E. & Salazar Llerena, S. L. (2024). Comparison of Collinearity Indices for Linear Models in Agricultural Trials. OnLine Journal of Biological Sciences, 24(2), 195-207. https://doi.org/10.3844/ojbsci.2024.195.207

Open AccessCopyright: © 2024 Danny Villegas Rivas, José M. Palacios Sánchez, Cristina A. Alzamora Rivero, Carlos M. Franco Del Carpio, César Osorio Carrera, Martin Grados Vasquez, Luis Ramírez Calderón, Luis E. Cruz Salinas, Karin Ponce Rojas, Liliana Correa Rojas, José Jorge Rodríguez Figueroa, Felicia L. Cáceres Narrea, Delia A. Saravia Pachas, Arrieta Benoutt Felipe, Arturo N. Neyra Flores, Pedro E. Zata Pupuche, Carlos Fabián Falcón, Yolanda Maribel Mercedes Chipana Fernández, Marilú T. Flores Lezama, Asunción R. Lezcano Tello, Pablo V. Aguilar Chávez, Víctor Hugo Fernández Rosas, Francisco Alejandro Espinoza Polo, Gaby Esther Chunga Pingo, Mercy Carolina Merejildo Vera, Carlos Alfredo Cerna Muñoz, Luis Orlando Miranda Diaz, Miguel Ángel Hernández López, Martín Desiderio Vejarano Campos, Erick Delgado Bazán, Zadith Garrido Campaña, José Paredes Carranza, Leyli J. Aguilar Ventura, Graciela M. Monroy Correa, Ruth A. Chicana Becerra, Jhonny Richard Rodriguez Barboza, Rafael Damián Villón Prieto, Claudia Rosalía Villón Prieto, Mariella M. Quipas Bellizza, Fernando Emilio Escudero Vilchez and Silvia Liliana Salazar Llerena. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Multicollinearity
  • Overall Some Individual Indices
  • Monte Carlo Simulation
  • Mctest Package