Calibrating Instrument Readings Using a Bivariate Confidence Interval

    Volume 25, Issue 1 (January 1997)

    ISSN: 0090-3973

    CODEN: JTEOAD

    Page Count: 5


    McDonald, BJ
    The University of Toledo, Toledo, OH

    Trautner, JJ
    University of Utah, Salt Lake City, UT

    (Received 24 May 1995; accepted 17 July 1996)

    Abstract

    A method of calibration that establishes a new bound of confidence for instrument measurements is derived and applied. This bound is named the McDonald-Trautner Interval (MTI). The derivation of the MTI incorporates the bivariate probability distributions of each data point conventionally used to form a regression line. A statistically significant number of parameter measurements on a sample must be made by both the instrument being calibrated and the calibrating medium. When calibration is based solely on regression analysis, the calibrating medium is assumed to be 100% reliable. The MTI includes the variability of the medium. The method is demonstrated on the calibration of a heavy metal detector. The calibrating medium is a chemical process. Compared to the conditional standard deviation bounds of linear regression, it is found that the MTI is a simple means to obtain a more statistically rigorous calibration procedure and is a better indication of the expected value of a variable.


    Paper ID: JTE11322J

    DOI: 10.1520/JTE11322J

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    Author
    Title Calibrating Instrument Readings Using a Bivariate Confidence Interval
    Symposium , 0000-00-00
    Committee E28