Nh. Duan et Dt. Mage, COMBINATION OF DIRECT AND INDIRECT APPROACHES FOR EXPOSURE ASSESSMENT, Journal of exposure analysis and environmental epidemiology, 7(4), 1997, pp. 439-470
We combine two major approaches currently used in human air pollution
exposure assessment, the direct approach and the indirect approach. Th
e direct approach measures exposures directly using personal monitorin
g. Despite its simplicity, this approach is costly and is also vulnera
ble to sample selection bias because it usually imposes a substantial
burden on the respondents, making it difficult to recruit a representa
tive sample of respondents. The indirect approach pi-edicts exposures
using the activity pattern model to combine activity pattern data with
microenvironmental concentrations data. This approach is lower in cos
t and imposes less respondent burden, thus is less vulnerable to sampl
e selection bias. However, it is vulnerable to systematic measurement
error in the predicted exposures because the microenvironmental concen
tration data might need to be ''grafted'' from other data sources. The
combined approach combines the two approaches to remedy the problems
in each. A dual sample provides both the direct measurements of exposu
res based on personal monitoring and the indirect estimates based on t
he activity pattern model. An indirect-only sample provides additional
indirect estimates. The dual sample is used to calibrate the indirect
estimates to correct the systematic measurement error. If both the du
al sample and the indirect-only sample are representative, the indirec
t estimates from the indirect-only sample is used to improve the preci
sion for the overall estimates. If the dual sample is vulnerable to sa
mple selection bias, the indirect-only sample is used to correct the s
ample selection bias. We discuss the allocation of the resources betwe
en the two subsamples and provide algorithms which can be used to dete
rmine the optimal sample allocation. The theory is illustrated with ap
plications to the empirical data obtained from the Washington, DC, Car
bon Monoxide (CO) Study.