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Environmental Health Criteria 214

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HUMAN EXPOSURE ASSESSMENT<br />

contains limits that are based on analytical standards, then the chart<br />

is useful for discovering whether the observed measures for a sample<br />

value differ from the adopted standard values by an amount greater<br />

than should be expected by chance alone. Generally, control charts<br />

consist of warning limits and action limits. Warning limits often<br />

correspond to ± 2 SD from the mean, whereas action limits are set at<br />

± 3 SD from the mean. Such thresholds mean that as long as the process<br />

is in control at the centre value there is a 5% chance that a result<br />

will exceed the warning limits and a 0.3% chance that a result will<br />

exceed the action limit, thus erroneously signalling an "out of<br />

control" message (WHO, 1986; ISO, 1993).<br />

To set up a Shewhard control chart (Fig. 33), measurements of,<br />

for instance, standard solutions, duplicates or spiked samples must be<br />

gathered while the analytical procedure is in control. The control<br />

parameters most frequently evaluated in Shewhard control charts<br />

include the average or median of control measures (average or median<br />

charts) and the range (difference) between duplicate analyses on the<br />

same test sample (range charts) (UNEP/WHO, 1986; AOAC, 1991; ISO,<br />

1991; Christensen et al., 1994). In a cumulative sum (cusum) chart<br />

(Fig. 34) a reference value, usually the intended or expected value,<br />

is subtracted from each observation. The cumulative sums of the<br />

deviations from the reference value are formed, and these cusums are<br />

plotted against the serial numbers of observations. The cusum chart is<br />

usually more sensitive to small shifts in level than the Shewhard<br />

chart and highlights persistent and recurring differences (Christensen<br />

et al., 1994; ISO, 1997).<br />

http://www.inchem.org/documents/ehc/ehc/ehc<strong>214</strong>.htm<br />

Page 194 of 284<br />

6/1/2007

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