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Environmental Health Criteria 214

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HUMAN EXPOSURE ASSESSMENT<br />

Standard measures of dispersion include the sample variance, the<br />

sample standard deviation and the sample range (formulas in Table 9).<br />

These measures describe the spread of the observations. Examination of<br />

Table 8 reveals that blood lead concentrations are more variable in<br />

the Maltese sample population (standard deviation = 70.9 µg/litre,<br />

range = 289 µg/litre) than that in Mexico (standard deviation = 49.5<br />

µg/litre, range = 185 µg/litre). Measures of dispersion are useful for<br />

characterizing the degree of variability of a given measure among the<br />

members of a study population. As we will see later in this chapter,<br />

dispersion is also a key component of some study design issues.<br />

The concept of sample percentile is an important aspect of<br />

exposure assessment. A sample percentile for a variable in a data set<br />

is the value of the data such that at least p % are at or below this<br />

value, and (1 - p)% are at or above this value. A percentile is<br />

determined by first ordering the sample (i.e., rank from lowest to<br />

highest) and then identifying the observation that corresponds with<br />

the desired fraction of the data set. In the case of blood lead<br />

concentrations measured in the Maltese sample population, 283 µg/litre<br />

is the 75th percentile since it is the 27th of 36th rank-ordered<br />

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

Page 58 of 284<br />

6/1/2007

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