1. bookVolume 61 (2012): Issue 1-6 (December 2012)
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Journal
eISSN
2509-8934
First Published
22 Feb 2016
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1 time per year
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English
access type Open Access

GSCA: New Software and Algorithms to Analyse Diallel Mating Designs Based on Restricted Linear Model

Published Online: 01 Aug 2017
Volume & Issue: Volume 61 (2012) - Issue 1-6 (December 2012)
Page range: 126 - 132
Received: 03 Dec 2001
Journal Details
License
Format
Journal
eISSN
2509-8934
First Published
22 Feb 2016
Publication timeframe
1 time per year
Languages
English

Abstract The diallel mating designs have been extensively employed to gain genetic information by crop and tree breeders, but analysis of diallel data faces some challenges because the same parent acts both male and female roles. Theoretically, little attention was paid to the statistical inference and hypothesis testing for a fixed diallel linear model. In this paper we provide a uniform solution to any fixed diallel linear model with matrix expression based on the theory of restricted linear models. We derive formulae for estimating diallel parameters and their standard errors, and obtain uniform statistics for hypothesis testing of parameters, factors and differences between general combining abilities (GCA) or specific combining abilities (SCA). To put the result into practice, we have developed a Windows® software program “GSCA” for analyzing a flexible diallel linear model that could contain the GCA, SCA, reciprocal, block and environment effects as well as interaction effects such as GCA by environment. GSCA can perform analyses not only for Griffing’s four types of diallel crosses but also for more complicated diallel crosses whether the data structure is balanced or unbalanced. A real example is given to illustrate the convenience, flexibility and power of our software for diallel analysis.

Keywords

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