# CU-Boulder MCEN 3037 - 2 (13 pages)

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Mcen 3037 - Data Analysis
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Test plan parameter design system and tolerance design data reduction Independent dependent extraneous variables Random ordering Test blocks Let s return to the general measurement system What about this When would be need this Calibration Apply a known input value measure output Can be static or dynamic input We end up with a calibration curve in this case static Output Span FSO Key points 1 Often fit with functional form Choose based on physics 2 Slope gives static sensitivity What type of slope is good Input range 3 Linear relationship desirable simple sensitivity constant Calibration done with a calibration standard Primary Standard Absolute Standard NIST National Labs Transfer Standard calibrate local standards Local Standard calibrate working standards Working Standard calibrate lab equipment A majority of lab equipment undergoes periodic calibration Now we need to consider error The exact value of some physical variable is called the true value The absolute error is defined as uabs vtrue vmeasured We can also present a deviation plot as uabs The relative error is defined as urel uabs x100 vtrue Measures deviation in value from true value vmeasured Two types of errors that we deal with 1 Systematic or bias errors measured value mean is off from the true value by a fixed amount 2 Random errors measured value is off by a random amount from the true value by a fixed amount but measured mean approaches the true value Related to the concept of Accuracy and Precision All of the errors combine leading to measurement uncertainty Measurement system Data collected Measurement technique What type of instrumentation errors might we see Resolution smallest physically indicated division that the instrument indicates or is marked Time in seconds Uncertainty associated with resolution generally set to resolution Hysteresis error greatest deviation between two output values for a given input value that occurs performing upscale and downscale calibration yup ydown uHmax MAX

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