This short article is to comment on the methodology and conclusions of Yang et al. (2009) concerning the use of biplots to reveal crossover genotype-by-environment interaction (GE) patterns, which was published in Crop Science. Yan et al. (2007) applied GGE (genotypic main effect plus genotype-by-environment interaction) biplot analysis to an Ontario winter wheat dataset and concluded that ther...

Test environments and classification of regional ecological zones into mega environments are the two key components in regional testing of sugarcane cultivars. This study aims to provide the theoretical basis for test environment evaluation and ecological zone division for sugarcane cultivars. In the present study, sugarcane yield data from a three-year nationwide field trial involving 21 culti...

This chapter presents ViSta-PrnCmp, the module for Principal Components Analysis (PCA) in ViSta. This procedure is capable of analyzing numerical variables so they can be represented on a lower dimensionality space. The visualization for ViSta-PrnCmp includes a scatterplot-matrix of component scores; a bi-dimensional biplot; a tri-dimensional (spin-plot) version of the biplot; a box-diamond-dot...

In this paper Non-Symmetric Correspondence Analysis (NSCA, Lauro & D'Ambra, 1984; D'Ambra & Lauro, 1989, 1992) is proposed as an useful technique for evaluating contingency table with a dependence structure, in particular within the context of comparing market share di erences. Technical aspects of the method are discussed with a view towards application, giving special attention to the biplot ...

In population genetic study, one of the first analyses is to explore the relationships among the frequencies of alleles within or between loci. Hardy–Weinberg equilibrium is tested for two alleles of a single locus, and the linkage disequilibrium is tested for an allele from each of two loci. Although the equilibrium plays an important role and often serves as a basis for genetic inference, res...

Plant biologists in fields of ecology, evolution, genetics and breeding frequently use multivariate methods. This paper illustrates Principal Component Analysis (PCA) and Gabriel's biplot as applied to microarray expression data from plant pathology experiments.

This paper presents the R package CAvariants (Lombardo and Beh, 2017). The package performs six variants of correspondence analysis on a two-way contingency table. The main function that shares the same name as the package – CAvariants – allows the user to choose (via a series of input parameters) from six different correspondence analysis procedures. These include the classical approach to (sy...

Identification of the genetic architecture of phenotypic stability and management of adaptational genes is a prerequisite for improvement of adaptation. To locate the genes controlling adaptation, disomic addition lines of agropyron (agropyron elongatum, 2n=2x=14) into the genetic background of bread wheat (Triticum aestivum L., 2n=6x=42, cv. ‘Chinese Spring’=CS) were used in a randomized compl...

A graphical display of PLS regression of a data set is presented. Biplots in regression analysis has many advantages, including demonstrating the association between samples and variables graphically. The PLS biplot provides a single graphical representation of the samples alongside the predictor and response variables, as well as their interrelationships.