Use of artifices in Opstat to analyze series of experiments in a partial diallel

Authors

  • Delfina de Jesús Pérez-López Center for Research and Advanced Studies in Plant Breeding-Faculty of Agricultural Sciences. AP. 435. Tel. 722 2965518, ext. 148
  • Gerardo Jasso-Bobadilla Center for Research and Advanced Studies in Plant Breeding-Faculty of Agricultural Sciences. AP. 435. Tel. 722 2965518, ext. 148
  • Claudia Saavedra-Guevara Doctoral Program in Agricultural Sciences and Natural Resources-Institute of Agricultural and Rural Sciences. University Campus ‘El Cerrillo’-Autonomous University of the State of Mexico, Toluca, State of Mexico. Tel. 722 2965552, ext. 117
  • J. Ramón Pascual Franco-Martínez Doctoral Program in Agricultural Sciences and Natural Resources-Institute of Agricultural and Rural Sciences. University Campus ‘El Cerrillo’-Autonomous University of the State of Mexico, Toluca, State of Mexico. Tel. 722 2965552, ext. 117
  • José Francisco Ramírez-Dávila Center for Research and Advanced Studies in Plant Breeding-Faculty of Agricultural Sciences. AP. 435. Tel. 722 2965518, ext. 148
  • Andrés González-Huerta Center for Research and Advanced Studies in Plant Breeding-Faculty of Agricultural Sciences. AP. 435. Tel. 722 2965518, ext. 148

DOI:

https://doi.org/10.29312/remexca.v13i2.3130

Keywords:

circulating matrices, free software, randomized complete block design, symmetrical incomplete diallel

Abstract

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.

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References

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Published

2022-03-23

How to Cite

Pérez-López, Delfina de Jesús, Gerardo Jasso-Bobadilla, Claudia Saavedra-Guevara, J. Ramón Pascual Franco-Martínez, José Francisco Ramírez-Dávila, and Andrés González-Huerta. 2022. “Use of Artifices in Opstat to Analyze Series of Experiments in a Partial Diallel”. Revista Mexicana De Ciencias Agrícolas 13 (2). México, ME:273-87. https://doi.org/10.29312/remexca.v13i2.3130.

Issue

Vol. 13 No. 2 (2022)

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Articles

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