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Understanding Measurement Risk

About this Article
This article by Mike Dobbert was presented at the NCSLI 2007 Symposium and published in the Proceedings.

Abstract

One key reason for performing a calibration is to assess a device as either in- or out-of-tolerance. Common calibration test scenarios compare a device parameter against that of a measurement standard by way of a measurement process. If the difference between the device parameter and the measurement standard is greater than the specified tolerance, the device is deemed out-of-tolerance. However, errors in the measurement process bring about the possibility of an incorrect assessment. An incorrect assessment may result in devices incorrectly declared as in-tolerance (false-accept) or incorrectly declared as out-of-tolerance (false-reject).

The risk of making an incorrect in- or out-of-tolerance assessment can be determined by evaluating probability density functions that incorporate a device’s parameter population and the measurement error. This paper provides an intuitive explanation of these probability density functions drawing on Monte Carlo simulation to demonstrate the relationship between a device’s true value and the corresponding measured value.

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PDF file Understanding Measurement Risk
Additional Material

The PowerPoint® slideshow used at the paper's presentation is also available here.

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You may also download a self-extracting (.exe) archive file containing several MATLAB® scripts which can be used to reproduce the graphics contained in the paper as well as the calculations found in the example. Note that these scripts require the MATLAB® Statistics Toolbox.

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