to study combining ability and genetic parameters of seed yield trait in rapeseed, eight lines of rapeseed were evaluated by a design of half diallel cross. seeds of f1 generation and their parents were grown in a 6 × 6 simple lattice design with two replications. according to the analysis of variance, general combining ability (gca), specific combining ability (sca) and mean squares of genotyp...

this research was investigated to analyze genotype × environment (ge) interaction for grain yield in durum wheat multi-environment trials (met) conducted in dryland agricultural research stations (dari) using gge (g + ge interaction) biplot methodology and joint regression analysis (b +  s2di). the environment, ge interaction and genotype effects were accounted for 84%, 7.7% and 2.3% of total s...

A simple geometry allows the main properties of matrix approximations used in biplot displays to be developed. It establishes orthogonal components of an analysis of variance, from which different contributions to approximations may be assessed. Particular attention is paid to approximations that share the same singular vectors, in which case the solution space is a convex cone. Two and three-d...

Abstract A biplot, which is the multivariate generalization of the two-variable scatterplot, can be used to visualize the results of many multivariate techniques, especially those that are based on the singular value decomposition. We consider data sets consisting of continuous-scale measurements, their fuzzy coding and the biplots that visualize them, using a fuzzy version of multiple correspo...

Correspondence analysis, when used to understand relationships in a table of counts (for example, abundance data in ecology), has been criticized as being too sensitive to objects (for example, species) that occur with very low frequency or in very few samples. Here I show that this criticism is generally unfounded. This is demonstrated in several data sets by calculating the actual contributio...

In this note we show how the entries of a data matrix can be approximated by a sum of row effects, column effects and interaction terms in a robust way using a weighted L1 estimator. We discuss an algorithm to compute this fit, and show by a simulation experiment and an example that the proposed method can be a useful tool in exploring data matrices. Moreover, a robust biplot is produced as a b...

The common bean is the most important grain legume for direct human consumption in the world and BCMV is one of the world's most serious bean diseases that can reduce yield and quality of harvested product. To determine the best tolerance index to BCMV and recognize tolerant genotypes, 2 experiments were conducted in field conditions. Twenty five common bean genotypes were sown in 2 separate RC...