Useful and little-known applications of the Least Square Method and some consequences of covariances
| Autor: | Zwinglio Guimarães-Filho, Leandro Mariano, Otaviano Augusto Marcondes Helene |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Nuclear and High Energy Physics 010308 nuclear & particles physics Covariance matrix Experimental data Value (computer science) 01 natural sciences Simple (abstract algebra) 0103 physical sciences Applied mathematics Covariant transformation Single point Matrix form 010306 general physics Instrumentation Physical quantity |
| Zdroj: | Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 833:82-87 |
| ISSN: | 0168-9002 |
| DOI: | 10.1016/j.nima.2016.06.126 |
| Popis: | Covariances are as important as variances when dealing with experimental data and they must be considered in fitting procedures and adjustments in order to preserve the statistical properties of the adjusted quantities. In this paper, we apply the Least Square Method in matrix form to several simple problems in order to evaluate the consequences of covariances in the fitting procedure. Among the examples, we demonstrate how a measurement of a physical quantity can change the adopted value of all other covariant quantities and how a new single point (x,y) improves the parameters of a previously adjusted straight-line. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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