Volume 25, Issue 1 (January 1997)

    Calibrating Instrument Readings Using a Bivariate Confidence Interval

    (Received 24 May 1995; accepted 17 July 1996)


      Format Pages Price  
    PDF (208K) 5 $25   ADD TO CART


    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.

    Author Information:

    McDonald, BJ
    The University of Toledo, Toledo, OH

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

    Stock #: JTE11322J

    ISSN: 0090-3973

    DOI: 10.1520/JTE11322J

    ASTM International is a member of CrossRef.

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