Comparison of Normal, Logistic, Laplace, and Student’s t distributions for experimental error in the Bayesian description of dry matter accumulation in Allium sativum

Autor: George Lucas Santana de Moura, Felipe Guzzo, Paulo Roberto Cecon, Sebastião Martins Filho, Antônio Policarpo Souza Carneiro, Moysés Nascimento
Jazyk: English<br />Portuguese
Rok vydání: 2024
Předmět:
Zdroj: Ciência Rural, Vol 54, Iss 7 (2024)
Druh dokumentu: article
ISSN: 1678-4596
0103-8478
DOI: 10.1590/0103-8478cr20230056
Popis: ABSTRACT: This study assessed distributions associated with Bayesian nonlinear modeling error in the description of total plant dry matteraccumulation (TDMA) of Allium sativumas a function of days after planting (DAP). According to the DIC criterion, Logistic and Gompertzmodels that use student’s t distribution error exhibited the highest DIC with logistic error distribution. In general, the difference of DIC in all the scenarios was not more than 5.The Bayes factor (BF) criterion showed no difference in the Logistic and Gompertzmodel fit when four distributions are used for the errors, where BF values do not exceed 2. Posterior distributions and the usual estimators of Logistic and Gompertz model parameters were similar even forvaried error distribution. In summary, there was no difference in the use of 4 distributions associated with the modeling error of garlic plant growth by the Bayes factor, whereby the results showed that alternating between error distributions significantly changes the number of Markov Chain Monte Carlo (MCMC) iterations.
Databáze: Directory of Open Access Journals