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The ``Spread'' as a Measure of Deviation in Physical Measurements

 

作者: Elliot Q. Adams,  

 

期刊: Review of Scientific Instruments  (AIP Available online 1933)
卷期: Volume 4, issue 11  

页码: 620-623

 

ISSN:0034-6748

 

年代: 1933

 

DOI:10.1063/1.1749030

 

出版商: AIP

 

数据来源: AIP

 

摘要:

To compare results of incandescent lamp tests expressed in terms of the spread (maximum difference) observed in sets of various numbers of lamps, factors were required to convert these results to a comparable basis. The average deviation of a single observation was chosen as the basis of comparison. To avoid the necessity of computing the probable error, a table of the probability integral for the argument &tgr; = &pgr;½tis given. Assuming a Gaussian distribution of errors, the factors have been tabulated for numbers of observations up to 100,000. They are given approximately by the semi‐empirical formulas: spread/ave.deviation=f(n)=2&pgr;12ta≐(50296−20086/(0045+lg n))(lg n)12≐507 (lg n)12−1075. While the average deviation so computed is less precise than that computed from the sum of the residuals, ora fortioriof their squares, the difference seldom exceeds the uncertainty of the more refined measures. Conventions are suggested for the retention of figures and for the statement of measures of deviation. The labor of computing the average deviation from the spread is so slight that an expression of the internal consistency ofallresults of physical measurements may reasonably be required.

 

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