Physic's Notes 1

Physic's Notes 1 - Damon Pryor Physics Notes 12/5/06

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Damon Pryor Physics Notes 12/5/06 Systematic error is the result of a mis-calibrated device, or a measuring technique which always makes the measured value larger (or smaller) than the "true" value. Least count is the smallest division that is marked on the instrument. Instrument limit of error , ILE for short, is the precision to which a measuring device can be read, and is always equal to or smaller than the least count. Estimated uncertainty is an uncertainty estimated by the observer based on his or her knowledge of the experiment and the equipment. This is in contrast to ILE , standard deviation or average deviation . ??? The statistical method for finding a value with its uncertainty is to repeat the measurement several times, find the average , and find either the average deviation or the standard deviation . To get a non-zero estimate of deviation we take the average of the absolute values of the deviations, as shown in Column 3 of Table 1. We will call this the average deviation , t . The sum of the squares is divided by 3, (one less than the number of readings), and the square root is taken to produce the sample standard deviation . The proper way to write the answer is 1. Choose the largest of (i) ILE, (ii) estimated uncertainty, and (iii) average or standard deviation. 2.
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Physic's Notes 1 - Damon Pryor Physics Notes 12/5/06

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