Analysis of Fluid Velocity inside an Agricultural Sprayer Using Generalized Linear Mixed Models

The fluid velocity inside the tank of agricultural sprayers is an indicator of the quality of the mixture. This study aims to formulate the best generalized linear mixed model to infer the fluid velocity inside a tank under specific operational parameters of the agitation system, such as liquid leve...

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Main Authors: Ángel Javier Aguirre, Guillermo E. Guevara-Viera, Carlos S. Torres-Inga, Raúl V. Guevara-Viera, Antonio Boné, Mariano Vidal, Francisco Javier García-Ramos
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/15/5029
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spelling doaj-853856e8d3c64c1ea60205b6f0914bf32020-11-25T02:48:06ZengMDPI AGApplied Sciences2076-34172020-07-01105029502910.3390/app10155029Analysis of Fluid Velocity inside an Agricultural Sprayer Using Generalized Linear Mixed ModelsÁngel Javier Aguirre0Guillermo E. Guevara-Viera1Carlos S. Torres-Inga2Raúl V. Guevara-Viera3Antonio Boné4Mariano Vidal5Francisco Javier García-Ramos6CPIFP Montearagón, 22071 Huesca, SpainFaculty of Agricultural and Livestock Sciences, University of Cuenca, 010205 Cuenca, EcuadorDepartment of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87106, USAFaculty of Agricultural and Livestock Sciences, University of Cuenca, 010205 Cuenca, EcuadorHigher Polytechnic School, University of Zaragoza, 22071 Huesca, SpainHigher Polytechnic School, University of Zaragoza, 22071 Huesca, SpainHigher Polytechnic School, University of Zaragoza, 22071 Huesca, SpainThe fluid velocity inside the tank of agricultural sprayers is an indicator of the quality of the mixture. This study aims to formulate the best generalized linear mixed model to infer the fluid velocity inside a tank under specific operational parameters of the agitation system, such as liquid level, circuit pressures, and number of active nozzles. A complex model was developed that included operational parameters as fixed effects (FE) and the section of the tank as the random effect. The goodness of fit of the model was evaluated by considering the lowest values of Akaike’s information criteria and Bayesian information criterion, and by estimating the residual variance. The gamma distribution and log-link function enhanced the goodness of fit of the best model. The Toeplitz structure was chosen as the structure of the covariance matrix. SPSS and SAS software were used to compute the model. The analysis showed that the greatest influence on the fluid velocity was exerted by the liquid level in the tank, followed by the circuit pressure and, finally, the number of active nozzles. The development presented here could serve as a guide for formulating models to evaluate the efficiency of the agitation system of agricultural sprayers.https://www.mdpi.com/2076-3417/10/15/5029information criteriaresidual variancerandom-effectslink functioncovariance structure
collection DOAJ
language English
format Article
sources DOAJ
author Ángel Javier Aguirre
Guillermo E. Guevara-Viera
Carlos S. Torres-Inga
Raúl V. Guevara-Viera
Antonio Boné
Mariano Vidal
Francisco Javier García-Ramos
spellingShingle Ángel Javier Aguirre
Guillermo E. Guevara-Viera
Carlos S. Torres-Inga
Raúl V. Guevara-Viera
Antonio Boné
Mariano Vidal
Francisco Javier García-Ramos
Analysis of Fluid Velocity inside an Agricultural Sprayer Using Generalized Linear Mixed Models
Applied Sciences
information criteria
residual variance
random-effects
link function
covariance structure
author_facet Ángel Javier Aguirre
Guillermo E. Guevara-Viera
Carlos S. Torres-Inga
Raúl V. Guevara-Viera
Antonio Boné
Mariano Vidal
Francisco Javier García-Ramos
author_sort Ángel Javier Aguirre
title Analysis of Fluid Velocity inside an Agricultural Sprayer Using Generalized Linear Mixed Models
title_short Analysis of Fluid Velocity inside an Agricultural Sprayer Using Generalized Linear Mixed Models
title_full Analysis of Fluid Velocity inside an Agricultural Sprayer Using Generalized Linear Mixed Models
title_fullStr Analysis of Fluid Velocity inside an Agricultural Sprayer Using Generalized Linear Mixed Models
title_full_unstemmed Analysis of Fluid Velocity inside an Agricultural Sprayer Using Generalized Linear Mixed Models
title_sort analysis of fluid velocity inside an agricultural sprayer using generalized linear mixed models
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-07-01
description The fluid velocity inside the tank of agricultural sprayers is an indicator of the quality of the mixture. This study aims to formulate the best generalized linear mixed model to infer the fluid velocity inside a tank under specific operational parameters of the agitation system, such as liquid level, circuit pressures, and number of active nozzles. A complex model was developed that included operational parameters as fixed effects (FE) and the section of the tank as the random effect. The goodness of fit of the model was evaluated by considering the lowest values of Akaike’s information criteria and Bayesian information criterion, and by estimating the residual variance. The gamma distribution and log-link function enhanced the goodness of fit of the best model. The Toeplitz structure was chosen as the structure of the covariance matrix. SPSS and SAS software were used to compute the model. The analysis showed that the greatest influence on the fluid velocity was exerted by the liquid level in the tank, followed by the circuit pressure and, finally, the number of active nozzles. The development presented here could serve as a guide for formulating models to evaluate the efficiency of the agitation system of agricultural sprayers.
topic information criteria
residual variance
random-effects
link function
covariance structure
url https://www.mdpi.com/2076-3417/10/15/5029
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