Meta-analysis of the experimental coefficient of variation in wheat using the Bayesian and Frequentist approaches
ABSTRACT A large set of variables is assessed for progeny selection in a plant-breeding program and other agronomic fields. The meta-analysis of the coefficient of variation (CVe) produces information for researchers and breeders on the experimental quality of trials. This analysis can also be appli...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Universidade de São Paulo
2022-06-01
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| Series: | Scientia Agricola |
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| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-90162023000100501&tlng=en |
| _version_ | 1811344407693099008 |
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| author | Maicon Nardino Fabyano Fonseca e Silva Tiago Olivoto Willian Silva Barros Chainheny Gomes de Carvalho Victor Silva Signorini Henrique Caletti Mezzomo Cleiton Renato Casagrande |
| author_facet | Maicon Nardino Fabyano Fonseca e Silva Tiago Olivoto Willian Silva Barros Chainheny Gomes de Carvalho Victor Silva Signorini Henrique Caletti Mezzomo Cleiton Renato Casagrande |
| author_sort | Maicon Nardino |
| collection | DOAJ |
| description | ABSTRACT A large set of variables is assessed for progeny selection in a plant-breeding program and other agronomic fields. The meta-analysis of the coefficient of variation (CVe) produces information for researchers and breeders on the experimental quality of trials. This analysis can also be applied in the decision-making process of the experimental plan regarding the experimental design, the number of repetitions, and the treatments and plants/progenies to be measured. In this study, we evaluated the dataset distribution and the descriptive statistics of CVe through the Frequentist and Bayesian approaches, aiming to establish the credibility and confidence intervals. We submitted CVe data of ten wheat (Triticum aestivum L.) traits reported in 1,068 articles published to the Bayesian and Frequentist analyses. Sample data were analyzed via Gamma and normal models. We selected the model with the lowest Akaike Information Criterion (AIC) value, and then we tested three link functions. In the Bayesian analysis, uniform distributions were used as non-informative priors for the Gamma distribution parameters with three ranges of q~U (a,b,). Thus, the prior probability density function was given by: p θ = 1 β - α , θ ∈ α , β . The Bayesian and Frequentist approaches with the Gamma model presented similar results for CVe; however, the range Bayesian credible intervals was narrower than the Frequentist confidence intervals. Gamma distribution fitted the CVe data better than the normal distribution. The credible and confidence intervals of CVe were successfully applied to wheat traits and could be used as experimental accuracy measurements in other experiments. |
| first_indexed | 2024-04-13T19:47:47Z |
| format | Article |
| id | doaj.art-071ef231eeca4e46b90ca5a8c88efdfa |
| institution | Directory Open Access Journal |
| issn | 1678-992X |
| language | English |
| last_indexed | 2024-04-13T19:47:47Z |
| publishDate | 2022-06-01 |
| publisher | Universidade de São Paulo |
| record_format | Article |
| series | Scientia Agricola |
| spelling | doaj.art-071ef231eeca4e46b90ca5a8c88efdfa2022-12-22T02:32:40ZengUniversidade de São PauloScientia Agricola1678-992X2022-06-018010.1590/1678-992x-2021-0190Meta-analysis of the experimental coefficient of variation in wheat using the Bayesian and Frequentist approachesMaicon Nardinohttps://orcid.org/0000-0002-4177-4921Fabyano Fonseca e Silvahttps://orcid.org/0000-0001-9536-1113Tiago Olivotohttps://orcid.org/0000-0002-0241-9636Willian Silva Barroshttps://orcid.org/0000-0003-1057-6006Chainheny Gomes de Carvalhohttps://orcid.org/0000-0001-7987-6037Victor Silva Signorinihttps://orcid.org/0000-0002-1257-3653Henrique Caletti Mezzomohttps://orcid.org/0000-0002-8220-9611Cleiton Renato Casagrandehttps://orcid.org/0000-0002-6396-3125ABSTRACT A large set of variables is assessed for progeny selection in a plant-breeding program and other agronomic fields. The meta-analysis of the coefficient of variation (CVe) produces information for researchers and breeders on the experimental quality of trials. This analysis can also be applied in the decision-making process of the experimental plan regarding the experimental design, the number of repetitions, and the treatments and plants/progenies to be measured. In this study, we evaluated the dataset distribution and the descriptive statistics of CVe through the Frequentist and Bayesian approaches, aiming to establish the credibility and confidence intervals. We submitted CVe data of ten wheat (Triticum aestivum L.) traits reported in 1,068 articles published to the Bayesian and Frequentist analyses. Sample data were analyzed via Gamma and normal models. We selected the model with the lowest Akaike Information Criterion (AIC) value, and then we tested three link functions. In the Bayesian analysis, uniform distributions were used as non-informative priors for the Gamma distribution parameters with three ranges of q~U (a,b,). Thus, the prior probability density function was given by: p θ = 1 β - α , θ ∈ α , β . The Bayesian and Frequentist approaches with the Gamma model presented similar results for CVe; however, the range Bayesian credible intervals was narrower than the Frequentist confidence intervals. Gamma distribution fitted the CVe data better than the normal distribution. The credible and confidence intervals of CVe were successfully applied to wheat traits and could be used as experimental accuracy measurements in other experiments.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-90162023000100501&tlng=enTriticum aestivum LCVe probability distributionGamma distributioncredible and confidence interval |
| spellingShingle | Maicon Nardino Fabyano Fonseca e Silva Tiago Olivoto Willian Silva Barros Chainheny Gomes de Carvalho Victor Silva Signorini Henrique Caletti Mezzomo Cleiton Renato Casagrande Meta-analysis of the experimental coefficient of variation in wheat using the Bayesian and Frequentist approaches Scientia Agricola Triticum aestivum L CVe probability distribution Gamma distribution credible and confidence interval |
| title | Meta-analysis of the experimental coefficient of variation in wheat using the Bayesian and Frequentist approaches |
| title_full | Meta-analysis of the experimental coefficient of variation in wheat using the Bayesian and Frequentist approaches |
| title_fullStr | Meta-analysis of the experimental coefficient of variation in wheat using the Bayesian and Frequentist approaches |
| title_full_unstemmed | Meta-analysis of the experimental coefficient of variation in wheat using the Bayesian and Frequentist approaches |
| title_short | Meta-analysis of the experimental coefficient of variation in wheat using the Bayesian and Frequentist approaches |
| title_sort | meta analysis of the experimental coefficient of variation in wheat using the bayesian and frequentist approaches |
| topic | Triticum aestivum L CVe probability distribution Gamma distribution credible and confidence interval |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-90162023000100501&tlng=en |
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