On Hadamard and Kronecker products in covariance structures for genotype × environment interaction

Covariance Estimation via Sparse Kronecker Structures

The problem of estimating covariance matrices is central to statistical analysis and is extensively addressed when data are vectors. This paper studies a novel Kronecker-structured approach for estimating such matrices when data are matrices and arrays. Focusing on matrix-variate data, we present simple approaches to estimate the row and the column correlation matrices, formulated separately vi...

Hadamard, Khatri-rao, Kronecker and Other Matrix Products

In this paper we present a brief overview on Hadamard, KhatriRao, Kronecker and several related non-simple matrix products and their properties. We include practical applications, in different areas, of some of the al-

On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications

Stability Analysis of Genotype × Environment Interaction Effect on Sugar Yield in Sugar Beet Hybrids

   Testing plant varieties under different regions is necessary to assess their stability. In this study, 17 sugar beet genotypes were evaluated in a randomized complete block design with six replications in five regions including Karaj, Hamedan, Miandoab, Mashhad, and Shiraz. After checking the homogeneity of mean squares in five experiments by Bartlett’s test, analysis of the combined was per...

Effects of genotype and environment on breadmaking quality in wheat

Background: It has long been recognized that bread making quality traits vary considerably as a result of genotype, environment and their interaction. The present study was aimed at determining the effect of cultivar, environment and their interaction on several bread making quality traits as well as to analyze relationship between these traits, Methods: Hundred forty wheat genotypes originated...