Sufficient number of replications for path analysis in maize

Authors

DOI:

https://doi.org/10.5902/2179460X40936

Keywords:

Zea mays L, Correlation analysis, Quadratic response plateau model

Abstract

The number of replications is assumed to interfere in the estimates of the path analysis coefficients. Thus, the objective of this work was to determine the sufficient number of replications for the path analysis of traits in maize cultivars. An experiment was conducted with 15 maize cultivars in a complete randomized block design with nine replications, and seven variables were measured. Then, 511 data files (matrices) formed by all combinations of the nine replications were organized, in groups of 1, 2, 3, 4, 5, 6, 7, 8 and 9 replications. In each matrix, containing the averages of 15 cultivars for the seven variables, Pearson's linear correlation coefficients were estimated, the multicollinearity diagnostics and path analysis were performed and dispersion diagrams were constructed. The sufficient number of replications for the path analysis was determined from the parameter estimates of the quadratic response plateau model. With the replications number increases, the accuracy of the path analysis coefficient estimates improves, but the gains in accuracy gradually decrease. Six replications are sufficient to perform the path analysis of agronomic traits of maize cultivars and can be used as a reference for designing future experiments.

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Author Biographies

Alberto Cargnelutti Filho, Departamento de Fitotecnia, Universidade Federal de Santa Maria, Santa Maria, RS

Possui graduação, mestrado e doutorado em Agronomia pela Universidade Federal de Santa Maria. Atualmente é Professor Associado III do Departamento de Fitotecnia da Universidade Federal de Santa Maria.

Marcos Toebe, Departamento de Ciências Agronômicas e Ambientais, Universidade Federal de Santa Maria, Frederico Westphalen, RS

Possui graduação em Administração e graduação, mestrado e doutorado em Agronomia com ênfase em produção vegetal, na Universidade Federal de Santa Maria. Atualmente sou Professor Adjunto da Universidade Federal de Santa Maria nas áreas de Estatística, Experimentação Agrícola e Melhoramento Vegetal junto ao Departamento de Ciências Agronômicas e Ambientais. Sou professor permanente nos dois programas de pós-graduação da UFSM-FW (PG Agronomia - Agricultura e Ambiente - Mestrado e PG em Ciência e Tecnologia Ambiental - Mestrado), membro do corpo editorial de duas revistas científicas, revisor de periódicos e de projetos de fomento nas ciências agrárias.

Bruna Mendonça Alves, Programa de Pós-Graduação em Agronomia, Universidade Federal de Santa Maria, Santa Maria, RS

Possui graduação (Licenciatura) em Formação de Professores para a Educação Profissional, graduação, Mestrado e doutorado em Agronomia, sendo todos pela Universidade Federal de Santa Maria. Atuou como professora substituta do Departamento de Estatística da Universidade Federal de Santa Maria. Atualmente é Engenheira Agrônoma do Exército Brasileiro.

Ismael Mario Marcio Neu, Programa de Pós-Graduação em Agronomia, Universidade Federal de Santa Maria, Santa Maria, RS

Possui graduação, mestrado e, atualmente, é doutorando no Programa de Pós Graduação em Agronomia pela a Universidade Federal de Santa Maria.

Jéssica Andiara Kleinpaul, Programa de Pós-Graduação em Agronomia, Universidade Federal de Santa Maria, Santa Maria, RS

Possui graduação, mestrado e, atualmente, é doutoranda no Programa de Pós Graduação em Agronomia pela a Universidade Federal de Santa Maria.

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Published

2021-03-10

How to Cite

Cargnelutti Filho, A., Toebe, M., Alves, B. M., Neu, I. M. M., & Kleinpaul, J. A. (2021). Sufficient number of replications for path analysis in maize. Ciência E Natura, 43, e32. https://doi.org/10.5902/2179460X40936

Issue

Vol. 43 (2021): Continuous Publication

Section

Statistics

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