Most current statistical methods developed for mapping quantitative trait loci (QTL) based on inbred line designs apply to crosses from two inbred lines. Analysis of QTL in these crosses is restricted by the parental genetic differences between lines. Crosses from multiple inbred lines or multiple families are common in plant and animal breeding programmes, and can be used to increase the effic...

Factorial Schur functions are generalizations of Schur functions that have, in addition to the usual variables, a second family of “shift” parameters. We show that a factorial Schur function times a deformation of the Weyl denominator may be expressed as the partition function of a particular statistical-mechanical system (six-vertex model). The proof is based on the Yang-Baxter equation. There...

In connection to sensory evaluations of foods, chemical or physical measurements of the relevant sensory properties are often searched for. The data available for testing whether some such instrumental measurement is linearly related to a sensory variable usually stem from a factorial experiment rather than from some random sub-population. Thus, to calibrate the two variables properly and to te...

Empirical and factorial methods are currently used to estimate nutrient requirements for domestic animals. The purpose of this study was to estimate the nutrient requirements of a given pig population using the empirical and factorial methods; to establish the relationship between the requirements estimated with these two methods; and to study the limitations of the methods when used to determi...

We present a method for detection and classi cation of a spatial pattern in noise contaminated binary images which is based on performing subspace decomposition on a nonnegative de nite matrix of higher order moments of the image. We introduce a method which uses normalized power moments or ascending factorial moments as descriptors. While the set of p-th order factorial moments are in one-to-o...

The aim of this paper is to carried out statistical analysis for optimization of various concrete mix proportions by using full factorial experimental technique. The variables such as 28 days cube compressive strength, water to cement ratio (w/c), coarse aggregate to total aggregate ratio (CA/TA) and total aggregate to cement ratio (TA/C) were the parameters to be used for optimization. Four w/...