Search results for "Design matrix"
showing 3 items of 3 documents
Systematic procedure for the preparation of sets of calibration standards for x-ray fluorescence analysis of ceramic materials
1998
A systematic procedure for the preparation of optimized sets of calibration solid standards for the x-ray fluorescence analysis of ceramic materials is described. The matrix of the contents of the N analytes in the n standards (n ≥ N) is calculated from an n x N experimental design matrix, and from the upper and lower limits of the calibration range for each of the N analytes. Two procedures, which are useful for taking into account analyte interactions, are proposed for constructing the experimental design matrix, i.e. the scroll procedure and the procedure of the centers. A program developed to help the analyst in designing and preparing the set of standards following the proposed procedu…
Derived variables calculated from similar joint responses: some characteristics and examples
1995
Abstract A technique (Cox and Wermuth, 1992) is reviewed for finding linear combinations of a set of response variables having special relations of linear conditional independence with a set of explanatory variables. A theorem in linear algebra is used both to examine conditions in which the derived variables take a specially simple form and lead to reduced computations. Examples are discussed of medical and psychological investigations in which the method has aided interpretation.
Selection of the Best Subset of Variables in Regression and Time Series Models
2009
The problem of variable selection is one of the most pervasive model selection problems in statistical applications. Often referred to as the problem of subset selection, it arises when one wants to model the relationship between a variable of interest and a subset of potential explanatory variables or predictors, but there is uncertainty about which subset to use. Several papers have dealt with various aspects of the problem but it appears that the typical regression user has not benefited appreciably. One reason for the lack of resolution of the problem is the fact that it is has not been well defined. Indeed, it is apparent that there is not a single problem, but rather several problems …