Abstract

PEREZ-LOPEZ, Delfina de Jesús et al. Use of artifices in Opstat to analyze series of experiments in a partial diallel. Rev. Mex. Cienc. Agríc [online]. 2022, vol.13, n.2, pp.273-287.  Epub Aug 01, 2022. ISSN 2007-0934.  https://doi.org/10.29312/remexca.v13i2.3130.

The use of specialized software saves time and resources when designing, randomizing and analyzing diallel cross experiments in a plant breeding program. In this study, the components of an analysis of variance (Anova) are calculated for a series of experiments in a randomized complete block design applied to the grain yield of a partial diallel cross generated with eight lines of corn (Zea mays L.), each sampled five times (p= 8; s= 5), evaluated in three environments and in four repetitions per environment (n= 240 data). The main objective was to validate these results with the Opstat statistical package, which produces the Anova outputs for each trial and some indirect calculations to complete this in the series of experiments. The most critical part of the statistical genetic analysis was to propose an artifice to decompose the effects of GCA and SCA in the crosses and those corresponding to GCA x A and SCA x A in the interaction crosses x environments. In these calculations, the inverse of the matrix A is common in all operations performed with matrix algebra. In the above context, it was observed that Opstat is very friendly and reliable to generate the Anovas and gi estimators for the evaluated parents, but it incorrectly calculates narrow-sense heritability when some negative variance is estimated.

Keywords : circulating matrices; free software; randomized complete block design; symmetrical incomplete diallel.

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