Module 7C

# Module 7C - IE 361 Module 7 Calibration Studies and...

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IE 361 Module 7 Calibration Studies and Inference Based on Simple Linear Regression Reading: Section 2.5 of Revised SQAME Prof. Steve Vardeman and Prof. Max Morris Iowa State University Vardeman and Morris (Iowa State University) IE 361 Module 7 1 / 13

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Calibration Studies measurement devices or systems. The basic idea is that one uses a measurement device to produce measurements on "standard" specimens with (relatively well-) "known" values of a measurand, and sees how the measurements compare to the measurand. In the event that there are systematic discrepancies between what is known to be true and what the device reads, the plan is then to invent some conversion scheme to (in future use of the device) adjust what is read to something that is hopefully closer to the (future) truth. A slight extension of "regression" analysis statistical methodology in making this conversion. Vardeman and Morris (Iowa State University) IE 361 Module 7 2 / 13
Regression Analysis and Calibration Calibration studies produce "true"/gold-standard-measurement values x and "local" measurements y and seek a "conversion" method from y to x . (Strictly speaking, y need not even be in the same units as x .) Regression analysis can provide both "point conversions" and measures of uncertainty (the latter through inversion of "prediction limits"). The simplest version of this is the case where

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Module 7C - IE 361 Module 7 Calibration Studies and...

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