Validation of a Method for Estimating Long‐Term Exposures Based on Short‐Term Measurements

Abstract

A method for estimating long‐term exposures from short‐term measurements is validated using data from a recent EPA study of exposure to fine particles. The method was developed a decade ago but long‐term exposure data to validate it did not exist until recently. In this article, exposure data from repeated visits to 37 persons over 1 year (up to 28 measurements per person) are used to test the model. Both fine particle mass and elemental concentrations measured indoors, outdoors, and on the person are examined. To provide the most stringent test of the method, only two single‐day distributions are randomly selected for each element to predict the long‐term distributions. The precision of the method in estimating the long‐term geometric mean and geometric standard deviation appears to be of the order of 10%, with no apparent bias. The precision in estimating the 99th percentile ranges from 19% to 48%, again without obvious bias. The precision can be improved by selecting a number of pairs of single‐day distributions instead of just one pair. Occasionally, the method fails to provide an estimate for the long‐term distribution. In that case, a repeat of the random selection procedure can provide an estimate. Although the method assumes a log‐normal distribution, most of the distributions tested failed the chi‐square test for log‐normality. Therefore, the method appears suitable for application to distributions that depart from log‐normality.