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Stopwatch and Timer Calibrations - National Institute of Standards ...

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<strong>Stopwatch</strong> <strong>and</strong> <strong>Timer</strong> <strong>Calibrations</strong><br />

5.C.4.c. Combination <strong>of</strong> Uncertainties<br />

In the following examples, the uncertainty budgets were developed for a<br />

calibration using traceable l<strong>and</strong> lines (Table 8 <strong>and</strong> Table 9), <strong>and</strong> for a calibration<br />

using a cellular phone or satellite signal (Table 10) based upon the data previously<br />

provided. The human reaction time was based on the worst case data presented<br />

in Section 5.C.2. The uncertainties are rounded to the nearest millisecond. The<br />

uncertainty components are considered to be uncorrelated, so they are combined<br />

using the root sum <strong>of</strong> squares method.<br />

Table 8 - Uncertainty analysis for direct comparison method (digital DUT)<br />

using a l<strong>and</strong> line.<br />

Source <strong>of</strong><br />

uncertainty<br />

Human reaction<br />

time bias<br />

Human reaction<br />

time st<strong>and</strong>ard<br />

deviation<br />

Telephone delay<br />

deviation<br />

Magnitude,<br />

ms<br />

Method <strong>of</strong><br />

evaluation<br />

120 Type B<br />

230 Type B<br />

30 Type B<br />

Distribution<br />

Rectangular<br />

St<strong>and</strong>ard<br />

uncertainty, ms<br />

69<br />

Normal<br />

(k = 1) 230<br />

Rectangular<br />

17<br />

½ DUT resolution 5 Type B<br />

Rectangular<br />

3<br />

Combined uncertainty 241<br />

Exp<strong>and</strong>ed uncertainty (k = 2, representing approximately a 95 %<br />

level <strong>of</strong> confidence)<br />

482<br />

38

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