imported>Perlwikibot |
|
| (One intermediate revision by the same user not shown) |
| Line 1: |
Line 1: |
| | | #REDIRECT [[Random error]] |
| #REDIRECT [[random error]] | |
| | |
| {{TermHeader}}
| |
| {{TermSearch}}
| |
| | |
| <div class="termentry">
| |
| <div class="term">
| |
| == random error ==
| |
| </div>
| |
| | |
| <div class="definition"><div class="short_definition">The inherent imprecision of a given process of measurement; the unpredictable component of repeated independent measurements on the same object under sensibly uniform conditions.</div><br/> <div class="paragraph">It is found experimentally that, given sufficient refinement of reading, a series of independent measurements ''x''<sub>1</sub>, ''x''<sub>2</sub>, . . ., ''x''<sub>n</sub> will vary one from another even when conditions are most stringently controlled. Hence, any such measurement ''x''<sub>i</sub> may be regarded as composed of two terms: <div class="display-formula"><blockquote>[[File:ams2001glos-Re15.gif|link=|center|ams2001glos-Re15]]</blockquote></div> where μ (ordinarily the true value) is a numerical constant common to all members of the series and ''v''<sub>i</sub>, the random error, is an unpredictable [[deviation]] from μ. The principal conclusion of classical investigations of errors of measurement (by Gauss and Laplace) was that, as a consequence of the [[central limit theorem]], repeated measurements under controlled conditions usually follow the [[normal distribution]], and the corresponding distribution of the random error is known as the [[error distribution]].</div><br/> </div>
| |
| </div>
| |
| | |
| {{TermIndex}}
| |
| {{TermFooter}}
| |
| | |
| [[Category:Terms_R]]
| |
