Prediction of hybrid means from a partial circulant diallel table using the ordinary least square and the mixed model methods

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dc.creatorReis, Américo José dos Santos
dc.creatorChaves, Lázaro José
dc.creatorDuarte, João Batista
dc.creatorBrasil, Edward Madureira
dc.date.accessioned2020-10-27T12:45:16Z
dc.date.available2020-10-27T12:45:16Z
dc.date.issued2005
dc.description.abstractBy definition, the genetic effects obtained from a circulant diallel table are random. However, because of the methods of analysis, those effects have been considered as fixed. Two different statistical approaches were applied. One assumed the model to be fixed and obtained solutions through the ordinary least square (OLS) method. The other assumed a mixed model and estimated the fixed effects (BLUE) by generalized least squares (GLS) and the best linear unbiased predictor (BLUP) of the random effects. The goal of this study was to evaluate the consequences when considering these effects as fixed or random, using the coefficient of correlation between the responses of observed and non-observed hybrids. Crossings were made between S1 inbred lines from two maize populations developed at Universidade Federal de Goiás, the UFG-Samambaia “Dent” and UFG-Samambaia “Flint”. A circulant inter-group design was applied, and there were five (s = 5) crossings for each parent. The predictions were made using a reduced model. Diallels with different sizes of s (from 2 to 5) were simulated, and the coefficients of correlation were obtained using two different approaches for each size of s. In the first approach, the observed hybrids were included in both the estimation of the genetic parameters and the coefficient of correlation, while in the second a cross-validation process was employed. In this process, the set of hybrids was divided in two groups: one group, comprising 75% of the original group, to estimate the genetic parameters, and a second one, consisting of the remaining 25%, to validate the predictions. In all cases, a bootstrap process with 200 resamplings was used to generate the empirical distribution of the correlation coefficient. This coefficient showed a decrease as the value of s decreased. The cross-validation method allowed to estimate the bias magnitude in evaluating the correlation coefficient using the same hybrids, to predict the genetic parameters and the correlation evaluation. The bias was shown to be greater when the OLS method was used. When the correlation coefficients of the observed and estimated hybrid means were obtained through the mixed instead of the fixed model, this decrease was less marked. The selection of hybrids superior to the checks, in terms of grain weight, also differed in the two different approaches. Nineteen percent of the hybrids were shown to be superior to the checks in the fixed models, while only 1.8% of them were superior in the mixed model.pt_BR
dc.identifier.citationREIS, Américo José dos Santos et al. Prediction of hybrid means from a parial circulant diallel table using the ordinary least square and the mixed model methods. Genetics and Molecular Biology, Ribeirão Preto, v. 28, n. 2, p. 314-320, 2005.pt_BR
dc.identifier.doi10.1590/S1415-47572005000200023
dc.identifier.issn1415-4757
dc.identifier.issne- 1678-4685
dc.identifier.urihttp://repositorio.bc.ufg.br/handle/ri/19199
dc.language.isoengpt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentEscola de Agronomia - EA (RG)pt_BR
dc.rightsAcesso Abertopt_BR
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectDiallel analysispt_BR
dc.subjectCross-validationpt_BR
dc.subjectBLUPpt_BR
dc.subjectPredictionpt_BR
dc.titlePrediction of hybrid means from a partial circulant diallel table using the ordinary least square and the mixed model methodspt_BR
dc.typeArtigopt_BR

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