Access Restriction

Author Richter, P. H.
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Least-squares Fitting ♦ Data Analysis ♦ Broad Range ♦ Closed-form Expression ♦ Inde-pendent Variable ♦ Random Error ♦ Gaussian Fltting Function ♦ Standard Error ♦ Present Work Considers Statistical Error ♦ Proper As-sessment ♦ Little Attention ♦ General Nonlinear ♦ Direct Application ♦ Ordinary Polynomial ♦ System Temperature Characteristic ♦ Linear Fltting Problem ♦ Engineering Flelds ♦ Fltted Parameter ♦ Antenna Gain ♦ General Rule
Abstract While least-squares fltting procedures are commonly used in data analysis and are extensively discussed in the literature devoted to this subject, the proper as-sessment of errors resulting from such flts has received relatively little attention. The present work considers statistical errors in the fltted parameters, as well as in the values of the fltted function itself, resulting from random errors in the data. Expressions are derived for the standard error of the flt, as a function of the inde-pendent variable, for the general nonlinear and linear fltting problems. Additionally, closed-form expressions are derived for some examples commonly encountered in the scientiflc and engineering flelds, namely, ordinary polynomial and Gaussian fltting functions. These results have direct application to the assessment of antenna gain and system temperature characteristics, in addition to a broad range of problems in data analysis. The efiects of the nature of the data and the choice of fltting func-tion on the ability to accurately model the system under study are discussed, and some general rules are deduced to assist workers intent on maximizing the amount of information obtained from a given set of measurements. I. Summary
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Publisher Date 1995-01-01