SCIRP Mobile Website
Paper Submission

Why Us? >>

  • - Open Access
  • - Peer-reviewed
  • - Rapid publication
  • - Lifetime hosting
  • - Free indexing service
  • - Free promotion service
  • - More citations
  • - Search engine friendly

Free SCIRP Newsletters>>

Add your e-mail address to receive free newsletters from SCIRP.

 

Contact Us >>

Article citations

More>>

Bevington, P. and Robinson, D. (2002) Data Reduction and Error Analysis for the Physical Sciences. McGraw Hill, New York.

has been cited by the following article:

  • TITLE: Calibration of Nondestructive Assay Instruments: An Application of Linear Regression and Propagation of Variance

    AUTHORS: Stephen Croft, Tom Burr

    KEYWORDS: Linear Calibration; Estimation Errors in Weights for Weighted Least Squares; Non-Destructive Assay; Variance Propagation

    JOURNAL NAME: Applied Mathematics, Vol.5 No.5, March 24, 2014

    ABSTRACT: Several nondestructive assay (NDA) methods to quantify special nuclear materials use calibration curves that are linear in the predictor, either directly or as an intermediate step. The linear response model is also often used to illustrate the fundamentals of calibration, and is the usual detector behavior assumed when evaluating detection limits. It is therefore important for the NDA community to have a common understanding of how to implement a linear calibration according to the common method of least squares and how to assess uncertainty in inferred nuclear quantities during the prediction stage following calibration. Therefore, this paper illustrates regression, residual diagnostics, effect of estimation errors in estimated variances used for weighted least squares, and variance propagation in a form suitable for implementation. Before the calibration can be used, a transformation of axes is required; this step, along with variance propagation is not currently explained in available NDA standard guidelines. The role of systematic and random uncertainty is illustrated and expands on that given previously for the chosen practical NDA example. A listing of open-source software is provided in the Appendix.