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Estimating errors in least-squares fitting
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Richter, P. H. |
| Copyright Year | 1995 |
| Description | While least-squares fitting procedures are commonly used in data analysis and are extensively discussed in the literature devoted to this subject, the proper assessment of errors resulting from such fits has received relatively little attention. The present work considers statistical errors in the fitted parameters, as well as in the values of the fitted function itself, resulting from random errors in the data. Expressions are derived for the standard error of the fit, as a function of the independent variable, for the general nonlinear and linear fitting problems. Additionally, closed-form expressions are derived for some examples commonly encountered in the scientific and engineering fields, namely ordinary polynomial and Gaussian fitting functions. These results have direct application to the assessment of the antenna gain and system temperature characteristics, in addition to a broad range of problems in data analysis. The effects of the nature of the data and the choice of fitting function 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 form a given set of measurements. |
| File Size | 1300981 |
| Page Count | 31 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19960009481 |
| Archival Resource Key | ark:/13960/t24b80w35 |
| Language | English |
| Publisher Date | 1995-08-15 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Estimating Error Analysis Random Errors Curve Fitting Least Squares Method Independent Variables Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
