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Standard-Error Estimates for Rates of Change From Indirect Measurements

 

作者: JamesP. Thomas,   RobertP. Wei,  

 

期刊: Technometrics  (Taylor Available online 1996)
卷期: Volume 38, issue 1  

页码: 59-68

 

ISSN:0040-1706

 

年代: 1996

 

DOI:10.1080/00401706.1996.10484416

 

出版商: Taylor & Francis Group

 

关键词: Calibration;Error-in-variables;Error propagation;Fatigue;Variance components

 

数据来源: Taylor

 

摘要:

When indirect measurements are used to obtain rate-of-change data, an additional source of uncertainty is introduced that must be taken into account in the mean-rate and standard-error estimates. A procedure to account for this uncertainty is described. The chain rule of differentiation is used to decompose the rate into the product ofcalibration and primary experimentparts. Mean-rate and standard-error estimates are then obtained in terms of the component means and standard errors. The procedure is demonstrated by an analysis of some fatigue-crack-growth data.

 

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