Tw. Schulz et S. Griffin, Estimating risk assessment exposure point concentrations when the data arenot normal or lognormal, RISK ANAL, 19(4), 1999, pp. 577-584
The U.S. Environmental Protection Agency (EPA) recommends the use of the on
e-sided 95% upper confidence limit of the arithmetic mean based on either a
normal or lognormal distribution for the contaminant (or exposure point) c
oncentration term in the Superfund risk assessment process. When the data a
re not normal or lognormal this recommended approach may overestimate the e
xposure point concentration (EPC) and may lead to unecessary cleanup at a h
azardous waste site. The EPA concentration term only seems to perform like
alternative EPC methods when the data are well fit by a lognormal distribut
ion. Several alternative methods for calculating the EPC are investigated a
nd compared using soil data collected from three hazardous waste sites in M
ontana, Utah, and Colorado. For data sets that are well fit by a lognormal
distribution, values for the Chebychev inequality or the EPA concentration
term may be appropriate EPCs. For data sets where the soil concentration da
ta are well fit by gamma distributions, Wong's method may be used for calcu
lating EPCs. The studentized bootstrap-t and Hall's bootstrap-t transformat
ion are recommended for EPC calculation when all distribution fits are poor
. If a data set is well fit by a distribution, parametric bootstrap may pro
vide a suitable EPC.