Accession Number : ADP002950

Title :   Non-Linear Multidimensional Models, Least Squares and Reduced Residuals,

Corporate Author : ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s) : Celmins,A.

Report Date : FEB 1984

Pagination or Media Count : 26

Abstract : This paper addresses the treatment of such model fitting problems that include an analysis of the residuals, for instance to determine heteroscedasticity. In cases with multidimensional observations the residuals are vectors having model induced correlations between components. It is shown that one can eliminate such correlations and also reduce the number of residual components by introducing a concept of reduced residuals. The application of the new concept is illustrated by an investigation of heteroscedasticity of vapor pressure measurements. (Author)

Descriptors :   *Mathematical models, *Least squares method, Nonlinear systems, Residuals, Reduction, Scalar functions, Errors, Curve fitting, Corrections, Vapor pressure, Pressure measurement

Distribution Statement : APPROVED FOR PUBLIC RELEASE